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arXivのmath.NT (数論) の新着論文の概要をAIで日本語でお届けするポッドキャストです。 情報収集にお役立てください。 (AIで生成していますので必ずしも正しいとは限りません)
零点とコードと曲面 - 2026/11/11の論文34本
Today at 5:00 AM
arXiv math.NTの新着論文34本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-11/
The uncertainty operator, the Weil ground state and the zeros of zeta: a numerical study and conditional positivity of the Weil quadratic formThe $\mathbb Q$-gonality of $X_1(42)$ is $12$Bounding the security of the Bromberg-Shpilrain-Vdovina hash functionA counterexample to the Erd\H{o}s--Mahler conjectureA Threshold-Crossing Condition for the Least Colossally Abundant Counterexample to Robin's InequalityOn the equidistribution of eigenfunctions of higher dimensional cat maps modulo prime powersPeriods and CM motives of abelian typeDiophantine approximation with prime denominators in short intervalsA Moment Proof of the Hollman-Xiang Conjectures on Kloos...L値とモジュラー形式とランダム代数 - 2026/11/10の論文56本
Yesterday at 5:00 AM
arXiv math.NTの新着論文56本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-10/
A recursion relation for the coefficients of Swinnerton-Dyer type polynomialsA singular homeomorphism between Pierce expansions and continued fraction expansionsAn elliptic deformation of continued fractionsMotivic generating functions and $L$-derivatives of cohomological automorphic representationsLocal vanishing density of order $1$ and Divisor momentsMultivariate Pellarin $L$-values on algebraic curvesA Goldbach-Type Problem for the Unitary M\"obius FunctionOn the error term in Gauss's mean value formulas for class numbersTrivial solutions in Generalized Fermat equationsRestricted Quantum unique ergodicity under Generalized Lindel\"of conjectureA quantitative two-interval criterion for the Riemann hypothesisOn the lower bound for the $...密な群と局所場上の幾何学 - 2026/11/9の論文22本
Last Monday at 5:00 AM
arXiv math.NTの新着論文22本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-09/
Composite witness sieves, Kneser--Plancherel containers, and the exponent $5/7$ for the Erd\H{o}s--Straus conjectureBurgess' bounds with prime moduliJoint Approximation and the Mixed-Prime Character GroupAn Elementary Proof of the Binary Goldbach ConjectureThe existence of small defining polynomials for number fields, IICampana points on quadrics with hyperplane boundaryElliptic units, derived Heegner classes and the p-adic Birch and Swinnerton-Dyer quotient of CM elliptic curves of rank twoBounded Ratios of Best Approximations: Sharp Bounds and Spectra of Diophantine ExponentsRoot sharing and $2$-adic interpolation for Legendre polynomialsThe exceptional set of Goldbach numbers among polynomi...曲線と曲面における算術的構造 - 2026/11/6の論文28本
Last Friday at 5:00 AM
arXiv math.NTの新着論文28本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-06/
Explicit bounds for the number of solutions to Roth-type inequalities over adelic curvesMetallic Circles: Concyclic Tangency Points of Ford Circles over $k$-Fibonacci QuotientsMahler's Problem on Liouville Numbers II. Rational MapsOn Amoebas and the Arithmetic Rigidity of the Mahler MeasureFields Generated by a Single Point on Elliptic CurvesOn explicit units in a family of cubic fields and the arithmetic of curves arising from powers of these unitsPeriodic counting, carry synchronization, and primes in nonstandard numeration systemsOn a problem due to Erd\H{o}s concerning $w_1(n)$Multivariable Congr...表現論とディオファントスとqゼータ値 - 2026/11/5の論文29本
Last Thursday at 5:00 AM
arXiv math.NTの新着論文29本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-05/
A normalization issue in a transmitted form of Bloch's diamond formula: anti-invariant subgroup versus regulator quotientLow moments of sums of extended Rademacher random multiplicative functionsOn the existence of nonadmissible irreducible smooth representations of $p$-adic $\mathrm{GL}_n$Partitions with designated summands: $k$-tuples and their congruencesOrbit Transversality for Projective SpaceDiophantine definability from addition and divisibility over rings of $S$-integersSecond moment of incomplete Eisenstein series revisitedCollision Parameters in Higher-Dimensional Families of PolynomialsTwisted Diophantine approximation: asymptotic and uniform resultsA Rankin-Selberg Integral for $SU_{2,2}$Maximal Unipotent Monodromy and $p$-adic Eigen...整数方程式と楕円曲線と分割 - 2026/11/4の論文24本
11/04/2026
arXiv math.NTの新着論文24本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-04/
A generalization of the Dirichlet approximation theorem for affine actions on the real lineClassification of torsion of elliptic curves over sextic fieldsSome instances of modularity for residually reducible representations in the mixed caseRamanujan-type congruences for the smallest parts functionRational points on loxodromic K3 surfaces and complex dynamicsOn integers $n$ relatively prime to $\lfloor \alpha n^2\rfloor$The smallest-parts function and elliptic curvesFinding Integer Roots of Polynomials in Nearly Optimal TimeCounting irreducible skew polynomials $x^{2n}+ax^n+1$Inverse powers and 2-adic properties of binary 3 x 3 matrices associated with the Tribo...構造と分布とL関数とディオファントス - 2026/11/3の論文87本
11/03/2026
arXiv math.NTの新着論文87本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-03/
Cuspidal sheaves on the stack of L-parametersPorosity in Diophantine approximationOn the Distribution of Prime Squares and Its ApplicationsA power-saving asymptotic for a M\"obius-weighted GCD quadratic formThe distribution of $\alpha\pi$ modulo one in $\Fq(T)$: beyond Matom\"aki's exponentCyclotomic polynomials with trinomial irreducible factors over finite fieldsOn Certain Congruences for Partition $k$-Tuples with $5$-CoresPartition statistics and universal mixed mock modular formsTwisting-free converse theorems for $\Gamma_0(32)$ and $\Gamma_0(36)$On Ramanujan's cubic continued fraction, IIThe covering radius of the first-order Reed-Muller code in nine variables is 242An exhaustion-aware pr...モジュラ性とスペクトル理論 - 2026/11/2の論文27本
11/02/2026
arXiv math.NTの新着論文27本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-02/
A law of the iterated logarithm for random multiplicative functions on integers with a large prime factorIntegral Brauer--Manin Obstruction for Fermat Near MissesA Local Fourier-Transform Proof of Offen's Spherical Transfer TheoremErd\H{o}s--Straus Conjecture: Modular Inversion in Mordell ClassesClusters of primes revisitedA spectral theory of zeta functions of function fieldsWeil Operators and Remainders of Anderson Generating Functions over a Punctured Projective LinePositive Values of Inhomogeneous Quadratic Forms of Type (1, 4): The Constant \Gamma_{1,4} = 8Vector Valued Katok-Sarnak FormulasKloosterman Sums and Pl\"ucker Height Zeta FunctionsPrimes and the M\"obius function over quadrat...幾何構造と数論的解析 - 2026/10/30の論文61本
10/30/2026
arXiv math.NTの新着論文61本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-30/
The View-Obstruction Problem for Spheres in Dimensions Six and SevenJacob's ladders and wander from Hardy-Littlewood integral (1918) to the $\zeta$-Platonic cube form of equivalent of the Fermat-Wiles theoremOn the convexity of the fundamental domain of binary cyclotomic formsNovel properties of polynomialsA complete classification of minimal value set polynomialsVan der Waerden's Problem for Cubic SurfacesA Kohnen-Zagier Formula in Level 1Determining norm-Euclidean complex cubic fieldsGeometric properties of the analytic Emerton-Gee stackA note on a problem of Ma and ChenThe Borisov--Nuer conjecture and root decompositions in even unimodular Lorentzian latticesLifting...L関数と$p$進構造と幾何学的解析 - 2026/10/28の論文41本
10/28/2026
arXiv math.NTの新着論文41本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-28/
Counting Markov triples and simple geodesicsUniform local models of quasi-unipotent $p$-adic differential equationsHankel determinants for the $(n+2)$-shifted $q$-metallic numbersComputations in weight 3 of higher Bloch groupsInfinite families and sporadic solutions of the equation $\varphi(n)=c+\alpha\sum_{p\mid n}\varphi(p)$Retriangular numbers and affine maps between polygonal numbersPointwise to global good reduction problemsGross--Prasad conjecture in geometric LanglandsMetric Diophantine approximation with primes on irrational linesExact Generic Exponents of Approximation for the Action of the Integral Special Linear Group on the TorusMoment representations for genera...構造と数論と幾何学の探求 - 2026/10/27の論文53本
10/27/2026
arXiv math.NTの新着論文53本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-27/
A Sharp Distributional Lower Bound for Planar DiscrepancyOn the unit group of some triquadratic fieldsTwo parametric $q$-supercongruences from Andrews' multi-series transformationOn the evenness of coefficients of modular formsA secondary term in the first moment of cubic $L$-functions over function fieldsLocal obstructions and certified computations for perfect powers in power sumsHeight growth of rational self-mapsSquarefree Values of Random PolynomialsOn Lehmer's ProblemZassenhaus Filtration and Ihara ConstantsJoint Extension Field Point Counts for Superelliptic CurvesExploring topological features of a complex network of prime factors and composite numbersExplicit Coleman integration ov...シンタニと二次形式と有限体上の算術 - 2026/10/26の論文22本
10/26/2026
arXiv math.NTの新着論文22本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-26/
Biases in gaps between zeros of Dirichlet L-functionsDivisor Sums with Spacing ConstraintsQuantitative nodal domain count for Maass formsOn Parameterization of Some Problems in Number TheoryElliptic curve rank growth in multi-quadratic extensionsTrivial Iwasawa modules and arithmetic linking numbersAn explicit bound on $|\zeta_K(1+it)|$A Sharp Upper Bound for the Frobenius NumberValue-distribution of Euler--Zagier type multiple zeta-functions with identical arguments on the critical linePrime Numbers of the Form $24m+1$ and Erd\"{o}s-Straus ConjectureShintani Cocycle Decomposition of Topological Polylogarithms for Totally Real FieldsBinary Quadratic Forms, Shintani Lifts, and Twisted L-ValuesTh...幾何と周期と零点の解析 - 2026/10/23の論文25本
10/23/2026
arXiv math.NTの新着論文25本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-23/
Simultaneous popular polynomial differences in higher dimensionsAn explicit elementary proof of no Landau--Siegel zerosNorm-Euclideanity in cyclic fieldsOn the Open Problem in the 2023 Simon Marais Mathematics CompetitionAspects of quadratic Chabauty via modular formsComplete Determination of the Gallai--van der Waerden Number \(\mathrm{GW}(r;3,3)\)OpenAI partially disproves Littlewood's 1961 $L^\alpha$-flat theoremThe exponent $1/4$ in three complexity bounds: integer bases, continued fractions, and the $(3/2)^n$ steering wordIrrationality Exponents of Real CM Elliptic Periods and Powers of the Lemniscate PeriodOn the arithmetic Siegel--Weil formula for orthogonal Shimura varieties over a general totally real fieldLanda...整数値と集合和と群の構造 - 2026/10/22の論文35本
10/22/2026
arXiv math.NTの新着論文35本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-22/
An Asymptotic for Non-Wieferich NumbersA Counterexample to the Eventual Stability ConjectureSch\"affer's conjecture for even $k \le 42$A quaternary Diophantine inequality with prime numbers of a special form (II)A relative Schinzel-Zassenhaus bound for the polynomial $T^2 - 1$Short sums of the M\"obius function over function fieldsSubset sums of power values over Galois ringsOn a conjecture of VelaniHecke Orbits on Globally Drinfeld-Uniformized Shimura Varieties Are $p$-adically Nowhere DenseThe Octonionic Rational Wave Numbers: Non-Associative Sequence Algebras, Moufang Loops, and Exceptional $G_2$ SymmetriesZeros of quadratic Dirichlet $L$-functionsConst...L関数とコードと割った集合 - 2026/10/21の論文35本
10/21/2026
arXiv math.NTの新着論文35本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-21/
Galois Groups of Shifted Exponential PolynomialsClass polynomial obstructions to canonical congruences for the smallest parts functionSmall sums of roots of unity: polylogarithmic exceptional sets and conditional separationUpper Bounds on the de Bruijn-Newman constant for Dirichlet $L$-functions with primitive real-valued charactersThe Projective Reed-Muller Code from Quartic Curves in the Projective PlaneQuantum Variance for Hecke--Maass Cusp Forms on the Vertical GeodesicBowen--Franks groups and minus class groups of imaginary abelian fieldsNon-vanishing of central values of angular Hecke $L$-functionsOn a Notion of Density Related to Restricted Diophantine ApproximationAn Equivarian...L関数とモジュラー形式とp進表現 - 2026/10/20の論文60本
10/20/2026
arXiv math.NTの新着論文60本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-20/
Ramanujan Conjecture and Riemann Hypothesis for the unitary groups over function fieldsGaps for PLRS with zero coefficientsDihedral fields with Bloch lattice index five and quadratic subfield Q(i)Recovering Dirichlet coefficients from even samplesDiamond Maximal Operators: Classification, Moduli, and Oscillation EnvelopesOn the Ramanujan-Ligozat modular unitThe exact Euclidean window of $\mathbb{Z}[\sqrt{14}]$Markoff spectra of Hecke groupsPillai's equation between k-generalized Pell numbers and Tribonacci numbersStevens' Approach to Kloosterman Sums on Split GroupsHuman Exposition of Claude's 2/3 Theorem on the zeros of zetaInverse trigonometric and hyperbolic identities,series and products for Luc...モジュラー形式とガロア群の解析 - 2026/10/19の論文34本
10/19/2026
arXiv math.NTの新着論文34本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-19/
Space-filling curves and small-ball probabilities for the Kloosterman processA Non-Split Motohashi Formula for Toric Periods over Number FieldsDensity Bounds in Hua's Theorem for Prime SquaresGalois Groups of Trinomials with Small CoefficientsPoisson-Dirichlet statistics for the log-modulus of the Riemann zeta function on expanding intervals near the critical lineMetric Poissonian Pair Correlation Property Part 2: The Case \(n\log n\)Metric Poissonian Pair Correlation Property Part 1: The Case \(n+\log n\)Unconditional Bounds for Two, Three and Four Consecutive Moderate Gaps between Zeros of the Riemann Zeta FunctionImproved explicit Burgess-stre...L関数と指数和とガロア環 - 2026/10/16の論文39本
10/16/2026
arXiv math.NTの新着論文39本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-16/
86 unknowns for Hilbert's tenth problem over the rationalsMixed moment and joint non-vanishing of $\mathrm{GL}(3)\times\mathrm{GL}(1)$ and $\mathrm{GL}(1)$ $L$-functionsEhrhart Polynomials of Triangles in $\mathbb{R}^3$On the Diophantine equation $X^2+p^m=p_1^{n_1}p_2^{n_2}$CM Elliptic Analogue of the Coleman--Ihara FormulaA simpler proof that there are no Landau--Siegel zerosOptimal Reduced Representatives of Quadratic APN Permutations in Odd DimensionExplicit reduced APN permutations: ramification and optimal Galois-ring liftsNon-vanishing mod $p$ of derived Hecke algebras of multiplicative groups over number fields, IIModularity criteria for multiple Eis...代数幾何と算術的構造の解析 - 2026/10/15の論文39本
10/15/2026
arXiv math.NTの新着論文39本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-15/
On digit-appending walks along linear recurrencesLarge value estimates for Dirichlet polynomials and trilinear sums over short intervalsOrthogonality relation between $GL(3)$ coefficients and additive characters with linear and non-linear phasesSome Bounds on the Lehmer IndexElliptic curves attached to Jacobians with imaginary multiplicationA new way integral for the $n$-fold cover of $SL_2$An algebro-geometric approach to profinite iterated monodromy groupsA Bounded-Defect Construction for the Mondrian Art ProblemReductions of Galois representations of slope $2$Zero-cycles and Brauer groups on certain Enriques surfacesTernary polynomial relations and periods of cusp formsShapes of tame abelian numbe...格子とモジュラーとp進と組合せ - 2026/10/14の論文117本
10/14/2026
arXiv math.NTの新着論文117本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-14/
Counting quaternion extensions by multi-heightsGeometric bounds on norms of signed indecomposable integersWendt's determinant and finiteness of prime characteristics for permutation binomialsLinking numbers and special differential characters in arithmetic hyperbolic manifoldsSome applications of the quasi-Riemann hypothesis to class groups and small generators of number fieldsOn Permutations Whose Adjacent-Sum Reciprocals Sum to OneA Combinatorial Proof of Partition Identities for the Number of Distinct Part SizesUntrodden pathways in the study of partitions with parts separated by parityHigher rank elliptic sieve via CM endomorphismsCounting matrices with given characteristic polynomialA certified classical-strip...幾何的構造と特殊数列 - 2026/10/12の論文36本
10/12/2026
arXiv math.NTの新着論文36本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-12/
On $m$-fullness in number fieldsProperness of the Cuspidal Hilbert EigenvarietyA cyclotomic gluing construction for lattice sphere packingsHankel Matrix Decompositions and Digital Sequences over Function FieldsPolynomial parametrization of $\text{SL}_2$ over global function field ringsA Rigid Analytic Curve Can Have a Dense $p$-adic OrbitA conditional bound $\Lambda\le0.13963$ for the de Bruijn--Newman constantReciprocal LCM powers and Robin's criterionReasonable bounds for Restricted Polynomial Progressions in $\mathbb F^n_p$On the Imaginary Part of $\zeta'/\zeta$Odd order cases of Chowla's averages over arbitrary rectanglesProduct and Quotient Set Dom...L関数と幾何と整数集合の統計 - 2026/10/9の論文52本
10/09/2026
arXiv math.NTの新着論文52本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-09/
The Integer Values of $\sum_{i=1}^{n}\frac{1}{\gcd(n,i)}$The structure of irreducible cuspidal eta quotientsLogarithmic moments of the Rogers Ramanujan continued fraction and odd zeta valuesMultiplicity Constants for Rough Numbers in Prime GapsFinite-radius Jensen and relative-entropy formulations of the Balazard--Saias--Yor criterionSimple and accurate approximations to Dirichlet $L$-functionsA Generalization of the Riemann Functional Equation with Three VariablesIrreducibility of Generalised Laguerre Polynomials for Large Integer ParametersClassification of the Orbits of Three Quadratic Collatz-type MapsSimultaneous non-vanishing of twists of $\mathrm{GL}_3$ and $\mathrm{GL}_1$ $L$-functionsLong intervals of...幾何学的対象と数論的解析 - 2026/10/8の論文29本
10/08/2026
arXiv math.NTの新着論文29本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-08/
Mean Estimates for Short Polynomial Exponential Sums over PrimesConsecutive Cycle SumsMore than 83.9% of the zeros of the Riemann zeta function are distinct and more than 67.35% are simple and on the critical lineAutomorphisms of general modular curvesAffine Coordinate Subspaces and Strong Khintchine ConvergenceIdempotence in Carmichael and Giuga numbers and its application to the Agoh-Giuga conjectureOn a Digital Signature Based on Matrix Decomposition and the MinRank ProblemOn the algebraic and analytic ranks of the twin-prime elliptic curve $y^2=x(x-2)(x-p)$Regular integral models of Shimura varieties and a conjecture of PappasHi...形式と数体と幾何学的構造 - 2026/10/7の論文31本
10/07/2026
arXiv math.NTの新着論文31本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-07/
Densities of Picard Rank Jumps for K3 Surfaces Over Global FieldsCUDA-MPQS: A GPU-Resident Self-Initializing Quadratic Sieve, and the Factorization of RSA-155On the class number of real multiquadratic fieldsThe One-Power Erd\H{o}s Conjecture for Primes $p \equiv 7 \pmod{36}$Systems of equations with elements of finitely generated groups and with linear recurrence sequencesOn eutactic formsLifting ethereal Bianchi modular formsGaps theorems for linear forms with cubic coefficientsFurther results on the paramodular Hecke algebraPrimitive normal progressions in finite fieldsA new bound for the Furstenberg--S\'ark\"ozy theorem using the van der Corput p...幾何学的構造と特殊関数とガロア表現 - 2026/10/6の論文55本
10/06/2026
arXiv math.NTの新着論文55本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-06/
The Riemann-Siegel remainder as a fractional summandGaps, isolated points, and the origin of the ray in the one-dimensional Dirichlet spectrumExponential generating functions for Apostol-Dedekind and related sumsNonvanishing of special $L$-values of cusp forms on $\mathrm{GL}(2)$ with totally split prime power twists: without the class number hypothesisOn Mahler $U$-numbers under rational mapsOptimal large sieve for fixed order charactersMoments and Large Geometric Monodromy for Linearly Constrained Kloosterman FamiliesSequential exponential-motivic periods in spatially cut-off $\phi^4_2$Iterated cotangent-difference integrals over totally real cyclotomic fieldsPrescribed ideal classes and elliptic points in Ennola...曲線と数論的構造と解析的ツール - 2026/10/5の論文28本
10/05/2026
arXiv math.NTの新着論文28本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-05/
Arithmetic growth in partially commutative semigroups of endomorphismsThe proportion of polynomials over F_2 with positive orthogonal multiplicityShimura Reciprocity for Real Quadratic FieldsCounterexamples for Rational Points Near CurvesThe Prime Wavelet Tree: Compressing the Carmichael NumbersExtreme values of Dirichlet $L$-functions on the critical line with a growing prime modulusA uniform degree bound for modular rank-two Nahm sumsThe Wang--Sun Sum over Affine DerangementsA new upper bound for the irrationality exponent of $\zeta(2)$some arithmetical aspects of the two dimensional jacobian conjectureTelescopic Structure of Numerical Semigroups Generated by Unsigned Stirling Numbers of the Fi...方程式と素数と集合の構造 - 2026/10/2の論文35本
10/02/2026
arXiv math.NTの新着論文35本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-02/
Two-Line Elimination and the Weierstrass Group Law in Arbitrary CharacteristicPageRank on Lubotzky--Phillips--Sarnak graphsSome Methods to Solve the Diophantine Equation ay^2=b(x^k-c^k)An explicit family of twists of the Carlitz module with unbounded analytic rankNew bounds for the integer Chebyshev constant of [0,1]On a problem on Ramanujan-Sato series of level 11Perfect squares in reciprocal-sum sequences and primes that are inert in quadratic fieldsCongruence Jumping in Polynomial Divisibility Systems: Arithmetic Structure and Solution SetsMultiplicative recurrence of Piatetski--Shapiro and nil-Bohr setsTranscendence of dendric beta-expansions with pure discrete spectrumPowers in o...L関数とモジュラー形式とガロア群 - 2026/10/1の論文29本
10/01/2026
arXiv math.NTの新着論文29本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-01/
A Romanoff-type theorem for a multiset of products of powersStrong Artin Conjecture for Generalized Octahedral Representations in $\mathrm{GL}_3$Large gaps between Romanoff numbersEuclidean Triangles Associated with Diophantine $D(4)$-triplesZeta elements for $p$-ordinary modular forms over imaginary quadratic fields and applicationsMonogenity of the irreducible factors of $(k,t)$-Fibonacci and $(k,t)$-Lucas polynomialsOn a problem of Nathanson related to strongly minimal asymptotic bases of order $h$The twisted convolution identity and ghost $r$-SICs from finite quantum dilogarithmsThe cardinality of a set containing the pairwise sums of four p...予想と近似と数論的関数 - 2026/9/30の論文39本
09/30/2026
arXiv math.NTの新着論文39本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-30/
Proofs of some conjectures by Bringmann, Han, Heim, and Kane on periodic sign changes in eta-quotientsPrimes in arithmetic progressions and Siegel zeroesp-adic Rigidity and Supercongruences at Rank Two AttractorsStrongly Pseudoperfect NumbersA $q$-analogue of a binomial supercongruenceOn closed-form expressions for weighted mean square of the Riemann zeta function and Dirichlet $L-$functionsOn Vojta's harder implication, height inequalities for admissible pairs, points of bounded degree and Deligne-Mumford stacksTwisted Diophantine Approximation I: Asymptotic TheoryTwisted Diophantine Approximation II: Uniform TheoryReduction of Weil-Deligne RepresentationsFarey Symbols for the Picard GroupA Local Approach to Monogenity wi...楕円曲線とゼータ関数と素数と分割関数 - 2026/9/29の論文67本
09/29/2026
arXiv math.NTの新着論文67本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-29/
Tamagawa numbers and torsion of elliptic curves over function fieldsEfficient Computation and Congruences for Colored Partition FunctionsQuasimodular Forms, Partitions, and Primes in IntervalsConductors and Quadratic base changeFactorizations in algebraic monogenic semidomainsUnit fractions with semiprime denominators: an elementary proof of Erd\H{o}s Problem #306On the sum of odd minimal excludants over overpartitionsMatrix Solutions to the Diophantine equation $X^4+ Y^4=2Z^4$On the Ordering and Injectivity of Lagrange Constants Associated with Certain SubstitutionsOn Fermat-type equations of signature $(r,r,p)$Congruences for Overcolored Partition $k$-tuples Restricted by Parity of the...合同式と楕円曲線とガロア群とゼータ値 - 2026/9/28の論文28本
09/28/2026
arXiv math.NTの新着論文28本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-28/
A Congruence Conjecture of Z.-W. Sun for Reciprocal Central Binomial SumsSupercharacter theory and applications to Ramanujan sums over a finite Frobenius ringOn the Langlands--Kottwitz--Scholze methodCongruence obstructions in the refined Koblitz conjectureLocal Weak Maass Forms and Traces of Cycle IntegralsPinch's conjecture on $a$-convexityMishiba's Conjecture on the Coaction of $\infty$-adic Multiple Zeta ValuesCounterexamples to the inhomogeneous Duffin-Schaeffer conjecture for a residual set of shiftsUpper and lower fluctuations in Shallit's law of leap years in Pierce expansionsCounterexamples to the inhomogeneous Duffin-Schaeffer ConjectureOn the Moments of Least $r$-Gaps of Partitions and a...モジュラー形式と有限体とゼータ関数 - 2026/9/25の論文39本
09/25/2026
arXiv math.NTの新着論文39本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-25/
Rank-two Nahm sums, modularity obstructions, and the McKay--Thompson series $T_{31A}$Noncongruence cusp forms, Veech groups and enumerationEffective logarithmic two-point Chowla bounds in every windowPermutation binomials of the form $X^r(X^{q-1}+a)$ over finite fieldsStraight-line programs for the solutions of Pell's equationComputations of Cohomology of Arithmetic Groups, Part 1On the index of generalized trinomials over Valued fieldsComputing the cohomology of Shimura curves in quasi-linear timeCongruence Classes of Supporting the Erd\"{o}s-Straus Conjecture II: Wild SolutionsA new lower bound for the Schur-Siegel-Smyth trace problemRefinements of Peck's the...ゼータ関数とL関数と保型形式 - 2026/9/24の論文41本
09/24/2026
arXiv math.NTの新着論文41本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-24/
A new upper bound for the irrationality exponent of zeta(3)The Primitive Generalized Fermat Equation x^3+y^5=z^7: A computer-assisted proofGalois-Orbit Structure, Ramanujan Sums, and Stable-Range Collapse for Cyclotomic Cosine Formulas$A_2$-frames, negacyclic glue, and extremal strongly $6$-modular latticesThe number of Ekedahl-Oort strata intersecting the supersingular locus in the Siegel modular varietyDefinability and undecidability via the torsion subgroup of unitsCompleted cohomology of Hilbert modular varieties below middle degreeGeometric lifting and Freiman's $3k-4$ theorem in compact connected abelian groupsA proof of the Baruah--Gogoi conjecture on sums of odd and even overlined part...素数とp進数と格子と多項式とゼータ関数 - 2026/9/23の論文45本
09/23/2026
arXiv math.NTの新着論文45本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-23/
Infinitely Many Binomial Coefficients of Deficiency OneCarmichael numbers of the form $2^n p^m+1$ with odd exponent $m$: refinements of a theorem of Florian Luca, a general independence lemma, and a computational studyAn Integral Representation of the Generalized Fibonacci NumbersBrauer-Kuroda relations for ramified graph coversThe Sphere Packing Problem in Dimension 4 and the Twenty-Four-Cell ConjectureMoulds, Bimoulds, and some Lie algebrasA density version for the sum of nine cubes of primesOn the Euler transform and the floor functionDistinct exponents in the prime factorizationIrreducible polynomials with restricted digits in base $b(T)$On the generation...ゼータ関数と素数とガロア群と楕円曲線 - 2026/9/22の論文62本
09/22/2026
arXiv math.NTの新着論文62本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-22/
Superpolynomially Large Support in Every Irreducible Factor of Lacunary PolynomialsIwasawa theory of class field towersA quadratic-residue dichotomy for two partition functions modulo 3On periods of the Tribonacci sequence modulo primesMonogenic Fields of Cryptographic SizeBad Reduction of Genus Two Curves with complex multiplicationAlmost Trivial Units in Group RingsZero density theorems for short intervalsMaximal Unramified $p$-Extensions with Prescribed Galois Groups: A Quantitative Refinement of Ozaki's TheoremOn a Tur\'an's theorem for small primesOn a Tur\'an's theorem for arithmetic progressionsRomanoff type theorems for polynomials over finite fieldsSteinness of the Basic $\...格子とディオファントス近似とガロア環 - 2026/9/21の論文19本
09/21/2026
arXiv math.NTの新着論文19本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-21/
On permutation-invariant construction of glued latticesExtreme value laws for intrinsic Diophantine approximation on spheresEigenvectors of $p$-Curvature for Geometric Difference EquationsGalois deformation rings and modularity in the residually reducible caseOn The Cyclicity of Algebraic LatticesThe large sieve for square moduli under Hooley's hypothesis $R^*$Annular Frobenius Classification of p-adic Stieltjes--Schwarzian EquationsThe integer group determinants for $\mathbb{Z}_p^n$Difference of the Sum of All Odd and Even Overlined Parts of OverpartitionsFrobenius Numbers Associated with Primitive Pythagorean QuadruplesArithmetic structure of $L_2$-norms of ${\mathrm{SL}}_2(\mathbb{Z})$ matricesA Note On...素数とガロア群と有限体と和集合 - 2026/9/18の論文26本
09/18/2026
arXiv math.NTの新着論文26本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-18/
Asymptotic counting of integers with prime factors $p_{r^a s^b}$Endoscopic description of the local Langlands correspondence for $\mathrm{G}_2$A uniform proof approach for congruences modulo 3 for partitions with $k$-colored odd partsA new family of maximal curves not covered by the Hermitian curveSimultaneous nonvanishing of quadratic twists via Rankin-Cohen bracketsFinite subgroups of outer automorphism groups of the absolute Galois groups of mixed-characteristic local fieldsNorms of Schneider--Teitelbaum Polynomials in $p$-adic Fourier TheorySampling and Moments of Reciprocal Quadratic Mellin IntegralsOn a question of Ruzsa about densities of s...L関数とゼータ関数とモジュラー形式 - 2026/9/17の論文36本
09/17/2026
arXiv math.NTの新着論文36本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-17/
Distinct Consecutive ProductsTranscendence measure for the values of the logarithmic derivative of the Bessel function $J_0$ at algebraic argumentsLattice points close to a smooth curve and squarefull numbers in short intervals. IIEffective Hecke eigenvalue equidistribution over the Atkin--Lehner subspacesOnly finitely many modular Jacobians are supersingular modulo a given primeOn two forms in many variables of different degreesZero-Density Concentration for Dirichlet PolynomialsUnramified Geometric Iwasawa theory of function fieldsSurjectivity of the Enots Wolley SequenceContinuous approximation to the reciprocal sum of the cubes of Fibonacci numbersExact universal normalizations for the G\'al--Koksma l...L関数と楕円曲線と数体と素数 - 2026/9/16の論文38本
09/16/2026
arXiv math.NTの新着論文38本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-16/
The Waring-Goldbach problem in short intervals under the Generalized Riemann HypothesisMean Lindel\"of Hypothesis and Prime Geodesic Theorem on Bianchi ManifoldsA formula for the rank over $\mathbb{Q}(t)$ of the elliptic curve $y^2=x^3+At^6+Bt^3+C$Number fields as curves over $\mathbf{F}_1$Simultaneously small continued fraction entropy and base $b$ entropyElementary proofs of congruences modulo 5 for overpartitions with restricted odd differencesRational Points near Monofractal Curves and the Strong Oscillation PrincipleLocal Langlands functoriality for Yu's supercuspidals I: Kaletha's parametrizationLocal Langlands functoriality for Yu's supercuspidals II: Fargues--Schol...素数と楕円曲線とモジュラー形式 - 2026/9/15の論文69本
09/15/2026
arXiv math.NTの新着論文69本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-15/
The Strong 24-ConjectureTheta functions after WeilDynamical uniform boundedness for unicritical polynomials and elliptic curves of large rankArithmetic Siegel-Weil for the spherical Hecke algebraGalois representations and modularity for twisted moments of Kloosterman sumsPointwise ergodic theorems along sequences of intermediate growthSpherical statistics and phase transitions in high-dimensional latticesFiniteness of an Isogeny Class via EquidistributionPrime and Nonprime Totatives: A Sharp Construction and Exact ThresholdsThe optimal scale in Linnik's microsquare problem for almost all integersGeneralized Wieferich primes and monogenic polynomialsDensity of Vanishing of Certain Eigenspaces of Cyclotomic Class GroupsA Local Proof of Langlands's Sec...