プレプリどんどん: math.NT
40 Episodes
Subscribe
✂️ Clip this podcast
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)
MATH-NT - 2026/9/25の論文39本
Last Friday at 5:00 AM
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...MATH-NT - 2026/9/24の論文41本
Last Thursday at 5:00 AM
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...MATH-NT - 2026/9/23の論文45本
Last Wednesday at 5:00 AM
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
Last Tuesday at 5:00 AM
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
Last Monday at 5:00 AM
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...L関数と楕円曲線とモジュラー形式 - 2026/9/14の論文25本
09/14/2026
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/2026-09-14/
An adelic approach to the Kudla-Millson lifts over totally real number fieldsLocal-global principles for visibility of lattice points on parameterized curvesOn the variation of slopes over moduli stacks of Galois representationsCritical convergence and Hausdorff measures for generalized Flint Hills series$S_h$-sets in abelian groupsA Generalization of S\'ark\"ozy's theorem in function fieldsZeros of Quasimodular Forms Defined by Iterated SumsThe first moment of quadratic Dirichlet $L$-functions in the even hyperelliptic ensembleTight universality of $m$-gonal forms with minimal criterion setsGauss Genus Theory in Characteristic 2Projective K...L関数と多項式とゼータ値と行列 - 2026/9/11の論文26本
09/11/2026
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/2026-09-11/
A New Sparse Algorithm for Polynomial GCD over IntegersSums of distinct divisors of factorialsOrdinary 3-Isogeny Graphs and Improvement of Supersingularity Testing for Twisted Hessian Curves over Prime FieldsEffective estimates for exponential sums with multiplicative coefficientsRational Approximations for Reciprocals of Multiple Zeta Values and Trivariate Cauchy NumbersA $p$-adic monodromy theorem for curvesMoments and Non-Vanishing of Maass Form Symmetric Square L-Functions in Short IntervalsLog-crystalline representations and $(\varphi, \Gamma)$-modulesThe irrationality measure of {\pi} is at most 7.101862832357On the bounded-conductor finiteness conjecture in equal characteristicSharp unconditional moment bounds for products of L-functi...楕円曲線とL関数とディオファントス近似 - 2026/9/10の論文33本
09/10/2026
arXiv math.NTの新着論文33本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-10/
A proof of Hare's $\epsilon$ unfair conjectureThe density of long runs of non-$r$-free integersSpectral Algebras of Abelian Cayley GraphsTriple intersections for algebraic curves on the real torusCyclotomy of symmetric polynomialsEffective Euler SumsThe addition on totally positive integers uniquely determines the totally real number fieldGeneric Manin-MumfordRegular Arithmetic Functions, Volume I. Theory, Applications, ExamplesWhat Does MMLU Actually Measure? A Psychometric Audit of Difficulty Structure in Aggregate Benchmark ScoresModels of Elliptic Curves with Maximal 2-adic Image Subject to a Rational 2-IsogenyInteger group determinants for the elementary abelian group of order 49Th...円分体とp進解析と楕円曲線とL関数 - 2026/9/9の論文81本
09/09/2026
arXiv math.NTの新着論文81本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-09/
Lower bounds for some value sets over finite fields: incidence geometry and Bourgain's group expansion theoremOn the Diophantine Equations Arising from Three-Term $b$-Concatenations in Pell-Type SequencesPrimes with Restricted-Digit DifferencesOn the classification of small cyclotomic integersOn the class number of certain cyclotomic fieldsA $q$-microscope for mock-theta denominator patternsInfinite-order $p$-adic differential equations for Hurwitz-type Euler zeta functions: Higher-dimensional extensions and uniqueness of bounded solutionsThe entropy of coclass one and of SmallGroup(729,45)Central non-vanishing of Dirichlet $L$-functionsFrom dimension four to dimension five in the Tate conjecture for abelian variet...ゼータ値と多項式と分布と格子点 - 2026/9/7の論文23本
09/07/2026
arXiv math.NTの新着論文23本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-07/
Multiple zeta values in $\lambda$-ringsSIC dimension towers via cyclotomic polynomialsA counterexample to the Chung-Graham-Spiro gap-set conjectureHilbert's Irreducibility for $\mathbb{G}_m$Degeneration of monodromy in the theory of Eisenstein congruences for classical groupsNumerical experiments on the Hardy conjecture for the Gauss circle problemOn multiply induced charactersOn the Divisibility Relation $\sigma(n)\mid\sigma(n+h)$ and a Generalized Erd\H{o}s--Sierpi\'nski ConjectureDistribution properties of generalized polynomialsThe Right Edge of the Zero Set of the Fibonacci Zeta FunctionLattice point visibility along powers of quadratic polynomialsThe Prouhet--T...楕円曲線とガロア表現と素数と分割数 - 2026/9/4の論文29本
09/04/2026
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/2026-09-04/
An upper bound for an exceptional automorphism groupPerfect numbers, Wieferich primes and the solutions of $\binom{2n}{n}\equiv 2^n \bmod n$Poissonian pair correlations for the three-particle Sutherland modelSkolem-Mahler-Lech in rings of positive characteristic: a shorter proof and a multi-dimensional generalizationFactorization patterns and fields of definition of $\ell$-torsion points on the Jacobians of genus 3 hyperelliptic curvesOn lifting representations and actions on curves of the metacyclic groups $C_{p^s}\rtimes C_m$Representation Defects and Cassels Pairings for Congruent Number CurvesResolving a conjecture on permutation polynomials...ゼータ関数と楕円曲線と数論的近似 - 2026/9/3の論文27本
09/03/2026
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/2026-09-03/
A lower bound for the Call-Silverman height in cyclotomic extensionsOn the cuspidal cohomology of Iwahori congruence subgroups of $\mathrm{SL}(3, \mathbb{Z})$Ranks and integer points on elliptic curves induced by Fibonacci triplesOn everywhere locally soluble varieties in families over toric basesWhen Fibonacci and Lucas Meet Smith: A Computational ExplorationJacquet-Zagier treatment of the beyond endoscopy trace formula for $\mathrm{GL}_2$Summing the reciprocal of the polynomial appearing in Fermat's Last TheoremBounding Selmer Groups of Superelliptic Jacobians via Class GroupsAffine Copies of Three-Point Patterns in Sets of IntegersOn the counting functi...ゼータ関数と指数和と代数体 - 2026/9/2の論文32本
09/02/2026
arXiv math.NTの新着論文32本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-02/
Reducing Every Set of 36 Consecutive Integers to Zero by Differences of SquaresColombo's Determinant ProblemThe shortest harmonic sums with decreasing denominatorFrom Common-Slot Chains to Heisenberg Central Products over Global FieldsSmooth Diffeomorphisms and Mahler's Problem on Liouville NumbersAlmost $k$-th powers in short intervalsExceptional points on Atkin--Lehner quotientsExplicit Exponential Sum Estimates and Approximate Functional Equations for the Zeta FunctionDistribution of Kaneko's val functionA unification of Euler-Maclaurin and Euler-Boole summation formulasImproved bounds in Birch's theorem for forms in many variablesUniversal murmuration and Hecke augmentationCovering Projective Height Balls by Subspaces in Rigid Adelic SpacesSha...楕円曲線とL関数とモジュラー形式 - 2026/9/1の論文48本
09/01/2026
arXiv math.NTの新着論文48本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-01/
On weighted forms in many variablesStable Solutions to Generalizations of Fibonacci Relations of Higher Order$q$-Analogues of some supercongruences related to generalized Van Hamme-type supercongruencesCounterexamples to O'Neil's Period-Index Problem on Elliptic CurvesVanishing of $\mathrm{Sha}(A/K)[\mathfrak{P}^\infty]$ and its consequences for the anticyclotomic Iwasawa theory of $\mathrm{GL}_2$-abelian varietiesThe average number of rational preperiodic points of polynomials over $\mathbb{Q}$Analogue of Cardy's formula on the 60-degree parallelogram: a modular approachThe Shimura Lift and Hilbert Modular FormsKato's main conjecture for nonordinary modular formsLagrange...二項係数とディオファントス方程式と格子点 - 2026/8/31の論文20本
08/31/2026
arXiv math.NTの新着論文20本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-31/
The Sufficient Set of Congruences of Binomial Coefficients for PrimalityFinite and Symmetric Multiple $T$-ValuesDiophantine m-tuples of Triangular NumbersTrilinear Kloosterman fractions II: subdyadic intervals and nearly balanced convolutionsAn Erd\H{o}s-Wintner theorem for second-order linear recurrent basesThe Multiplicative Persistence Conjecture: Resolving the \(2\)-Adic Obstruction for Nonzero Even TargetsDrinfeld modular forms of higher rank from a lattice-oriented point of viewGeneralized Fermat equation over number fieldsLattice points in high-dimensional $\ell^q$ balls with small radiiRational and integral values of rational functions at rational pointsNorm Principles for ${\rm Go}(q)$ and ${\rm Spin}(q)$T...ゼータ値とモジュラー形式と素数分布 - 2026/8/28の論文30本
08/28/2026
arXiv math.NTの新着論文30本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-28/
Closed geodesics in homology classes modulo sublatticesDiscrete dynamics of Eratosthenes sieve$k$-Lucas Annulus for Polynomial ZerosA Neighbouring-Denominator Case of the Erd\H{o}s--Mahler ConjecturePeriod Relations for Theta Products and Elliptic Integral MomentsThe k-Rank Taylor Family: Canonical Harmonic Lifts, Principal Parts, and Rademacher Series$\mathbb{F}_q$-linear relations among Thakur's multiple zeta values in positive characteristicTorsion-vanishing for Siegel modular varieties via supercuspidal congruencesSpecialisations of the Burungale-Castella-Skinner main conjecture to $\mathbb Z_p$-linesTwo-point correlations of multiplicative functions with dense orbitsThe Cartesian product of exact approximation setsAp\'ery-typ...素数とL関数とディオファントス近似 - 2026/8/27の論文22本
08/27/2026
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/2026-08-27/
On the sum of least prime factors in short intervalsTranscendence of Tonelli--Shanks Power Modulo Infinitely Large PrimesJacob's ladders, new classes of sum variants of almost linear formula and corresponding $\zeta$-functionals and $\zeta$-equivalents of the Fermat-Wiles theoremThe equality cases $P_t(\mathbb{N})=\tfrac12$ for the deconvolved sum-of-digits measuresThe uniform Littlewood conjecture fails on a set of positive Hausdorff dimensionThe divisor function for matricesPseudonullity for fine Selmer groups over multiple $\mathbb{Z}_p^{d}$-extensionsSimultaneous Diophantine approximation on the three-dimensional Veronese curve: the complete Hausdorff dimension storyWell...L関数とモジュラー形式と有限体 - 2026/8/26の論文24本
08/26/2026
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/2026-08-26/
Collapsing Fifty Dilogarithm Arguments to Five Terms over $\mathbb{Q}\bigl(u,\sqrt{4-3u^{2}}\bigr)$Poincar\'e duality in Hida familiesFourier Spectral Reciprocity and Canonical Hecke $L$-FunctionsGeometric Realization of Finite Residue Casimirs and Weil Operators via Szeg\H{o} KernelsSieve dimension and search depth for the Erd\H{o}s-Straus conjecture, $n \equiv 1 \pmod{24}$Modular Forms Related to Real Quadratic Fields as Traces of Cycle IntegralsWinning property of counterexamples to Uniform Littlewood's ConjectureA Buium--Coleman bound for the Zilber--Pink conjecture for curves inside abelian varietiesSums of three powerfu...ゼータ関数とL関数とp進解析と格子 - 2026/8/25の論文45本
08/25/2026
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/2026-08-25/
A non-abelian large sieve and Artin's primitive root conjectureRational Points and Brownian MotionDense ascending waves: A resolution of the Alon-Spencer conjectureHow many points has an affine algebraic set in residue classes modulo n ?Positive Logarithmic Hausdorff Measures of Exceptional Sets for the $p$-adic and $t$-adic Littlewood ConjecturesGeneral Stirling-Ramanujan Constants are exponential periods and applicationsPrime multipliers of order ten: norm spectra, local charts, and selective liftingCoherent sequences of matrix spectraA Classification of Small MSTD Sets in Arbitrary FieldsA note on Zlobin's noteUniformity in rational torsion and small points on a...原始根と楕円曲線と数論幾何と和の評価 - 2026/8/24の論文13本
08/24/2026
arXiv math.NTの新着論文13本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-24/
A note on least primitive rootsPolylogarithmic Chabauty--Kim loci over number fieldsMaximal and minimal curves of the form $y^3=x^{(q^2+1)/2}+x$Euler characteristic of the Selmer group attached to an Artin representationComplete Resolution Of A Family Of Twisted Thue EquationsArithmetic $\mathcal{D}$-modules over Laurent series fields: the relative caseAdjoint Closures of Singular Pairs of Quadratic Forms and a Pfister-Type CriterionLegendre polynomials and complex multiplication, II: class numbers of quadratic fields and genus 2 supersingular polynomialsAnabelian Geometry in FamiliesSums of products of Kloosterman sums to prime power moduliAlmost sure upper bo...素数と近似と表現と不変量 - 2026/8/21の論文21本
08/21/2026
arXiv math.NTの新着論文21本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-21/
Totally positive field extensions and the pythagorean indexAn Algebraic Approach to the Fundamental Theorem of AlgebraMany Representations as Sums of Three Prime Cubes${}_5F_4$ evaluations and a family of $\pi^2+\log^2$ identitiesOn the Finiteness of Isolated $j$-invariants for $X_1(N)$Quantitative bounds for sets lacking polynomial progressions with shifted prime differenceArithmetic partial differential operators on ramified extensions of $\ZZ_p$Forced Shadows of an Obstructed Hyperbolic Kac-Moody DenominatorRibet Points, geometric divisibility sequence and order of reductions on semiabelian varietiesThe irrationality measure of arctan1/2 is at most 8.585166Gap spectra and den...素数とディオファントス方程式と和 - 2026/8/20の論文23本
08/20/2026
arXiv math.NTの新着論文23本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-20/
On sums of two primes and six Fibonacci numbersProperties of Kloosterman sums for long Weyl element on GL(n)Rational Solids with Equal Surface Area and VolumeSharp Transitions for Localized Solutions to a Diophantine InequalityMean Value Estimates for a Real-Exponent Analogue of Waring's ProblemAsymptotics of Hecke polynomial coefficients on the Atkin-Lehner eigenspacesOn $p$-adic solubility of $Ax^\ell + By^m + Cz^n = 0$Hecke-type action on higher order Herglotz-Zagier functionOn the Diophantine Equation $p^x+ (2p+1)^y =z^2$ with Consecutive ExponentsA Positive Proportion of the Reduced D'Arcais Polynomials is not Hu...素数と楕円曲線と格子と有限体 - 2026/8/19の論文18本
08/19/2026
arXiv math.NTの新着論文18本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-19/
Prime-Exponent Transition Geometry and Divisor Barriers Between Consecutive Highly Composite NumbersAlgebraic Lattices Arising from Congruence Submodules in Subfields of $p$-th Cyclotomic FieldsMild p-Class Tower Groups of Imaginary Quadratic FieldsOn Buzzard's TheorenShifted second moment of Gaussian Hecke $L$-functions $L(s,\lambda^k)$A central limit theorem for prime geodesics on random surfaces of large genusRibet bimodules and principally polarized superspecial abelian varieties with quaternion actionAlternating generalizations of Mizuno's product formula via modified gamma functionsInfinitely many primes with a fixed Frobenius field for an elliptic curve over $\mathbb{Q}$On the...ゼータ関数と指数和と楕円曲線 - 2026/8/18の論文35本
08/18/2026
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/2026-08-18/
A descent-set obstruction for the Casas-Alvero conjectureExponential sums over primesReciprocity for The Short Twisted Second Moment of The Riemann Zeta FunctionBounding The Number of Zeros Near the Central Point in Families of Cuspidal NewformsTranscendence of continued fractions over function fields and a quantitative version of Uchiyama's theoremAlgebraic geometric framework of Rogers--Ramanujan identitiesInterlacing for zeros of the Serre derivative of Eisenstein seriesPositive quasimodular forms and the sign uncertainty principleSingular-weight Conway-invariant Jacobi forms of index fourProof of a Conjecture on Primitive Quartic Polynomials over Finite FieldsFormal finite multiple zeta valuesCycles of s...代数曲線とゼータ関数と合同式 - 2026/8/17の論文19本
08/17/2026
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/2026-08-17/
On the Existence of Hyperelliptic Curves over $\mathbb{Q}(T)$ with Certain Jacobian RanksMore than two thirds of the zeta zeros are simple and on the critical lineSome Dwork-type $q$-supercongruences from a $_6\phi_5$ summation formula$p$-numerical semigroup of the sequence of consecutive odd integersA structural trace identity and certified spectra for the Richelot-Brandt graphA Kubilius model for sieve-theoretic sequencesRatio of sum of digits functions in two basesHurwitz class number relations and mock modular formsNew Congruences Involving $p$-adic dual sequencesShimura curves of discriminant 14 and 15 and associated...楕円曲線と素数とモジュラー形式 - 2026/8/14の論文31本
08/14/2026
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/2026-08-14/
On Waring--Goldbach problem with mixed powersGeneralized Addition Theorems for the Jacobi Elliptic FunctionsA conditional arithmetic obstruction to the prime numbers as a spectrum of a probability measureFinding all cospectral mates over a number fieldSpecial Values of Shifted Dirichlet Series from an Adjoint Map on Almost Holomorphic Modular FormsDensity bounds for permutations avoiding monotone arithmetic progressionsEscalations and criteria over real quadratic fieldsAlgebraic constructions of point sequences with quasi-uniform two-dimensional projectionsUniform bounds on prime levels of abelian division fields of elliptic curves over number fields without rationally defined CMFinite-Sum Realiz...L関数とゼータ値とガロア群と格子 - 2026/8/13の論文18本
08/13/2026
arXiv math.NTの新着論文18本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-13/
The motivic Selmer scheme of the thrice-punctured lineUpper bound for the moment of shifted values of cubic $L$-functions over function fieldsGalois Symbols for a Jacobian and Multiplicative GroupsEqualities among simplest quartic fields: a complete classificationHeight lower bounds for elements of highly composite ringsA $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real FieldsHasse-Witt invariants for trace forms of Jacobi polynomialsDuality formulas for $\widehat{\mathcal{Q}}$-multiple zeta valuesThe 196560 auxiliary-function conjecture for the Leech latticeMultiplicator freeness for restricted-ramification Galois groups over global function fieldsPowe...L関数と楕円曲線と多ゼータ値 - 2026/8/12の論文16本
08/12/2026
arXiv math.NTの新着論文16本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-12/
On the Squarefree Values of Degree-$2q$ PolynomialsAn omega result for the first sign change of coefficients of symmetric power $L$-functions of Hecke-Maass cusp formsA proof of a weighted sum conjecture for finite multiple zeta values of level twoAverage root numbers in two isotrivial families of elliptic curvesPermutation polynomials from the trace functionsBockstein Spectral Sequences and Applications to the Tame Fontaine Mazur ConjectureDistinguishing elliptic curves modulo $p$ and identifying images of product representationsA canonical construction of signed $p$-adic $L$-functions for non-ordinary modular forms of weight $\leq p+1$Equa...ゼータ関数と分布と表現と分割数 - 2026/8/11の論文37本
08/11/2026
arXiv math.NTの新着論文37本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-11/
Zeta zeros of function fields heuristically equidistribute as genus goes to infinitySharp vertex connectivity of the Markoff graphs modulo $p$Positive Lower Density for Hofstadter's $ab-1$ ProblemOn the Emerton-Gee stack of potentially semistable representationsRepresentations as Sums of Icosahedral and Dodecahedral Numbers: Proof of Pollock's ConjecturesWhich numbers are $u$-invariants of perfectoid fields?Binomial coefficients coprime to 6Short Second Moment of $\mathrm{GL}(2)$ L-Functions via Trivial DeltaEquidistribution for semiabelian varieties over number fieldsMachine-Guided Recurrence Boundary Theory for Nahm SumsOn Sun's Conjectures for Truncated Jacobi-Symbol Determinants via Supersingular Elliptic CurvesProof...ゼータ関数と楕円曲線と有限体 - 2026/8/10の論文15本
08/10/2026
arXiv math.NTの新着論文15本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-10/
Refuting a Conjecture of Umans and Wang on Arithmetic-Progression Divisor CoversSquarefree numbers in short intervals: explicit and formalizedAnticyclotomic Iwasawa theory of CM elliptic curves at ramified primesA Combinatorial Approach to Vorono{\"i} TheoryAn extension of Ramanujan-Guinand identity for the Dedekind zeta function and a new formula for $\zeta_\mathbb{F}(2)$ and $\zeta_\mathbb{F}(2m+1)$On semi-stable integral models for Shimura varietiesModularity of Higher Theta Series III: Proof of the Modularity ConjectureTowards the Fontaine--Mazur conjecture for GL(2)Heath-Brown identities for fractional powers of $\zeta$On the Existence of Primitive Polynomi...素数とL関数とモジュラー形式と表現論 - 2026/8/7の論文19本
08/07/2026
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/2026-08-07/
Rigidity of Averages over the Two Largest Prime FactorsExplicit Algebraic Numbers all whose Integer Parts of Powers are CompositeThe sesquicentennial of the prime number $2^{127} - 1$Trianguline representations and locally analytic principal series of ${\rm GL}_2({\mathbb Q}_p)$Asymptotic uncorrelations between functions with squarefull kernel and functions of invariant averageModularity of Point Counts for the Curves $X^a=Y^b$: New Rogers--Ramanujan IdentitiesIwasawa invariants and exceptional pairs of certain abelian fieldsGeneralised Gauss--Kuzmin Distribution for Klein sails in $\mathbb R^3$Hearing Tamagawa Factors modulo $q - 1$Hybrid Weyl Subconvexity over Imag...カスプ形式とL関数とガロア表現 - 2026/8/6の論文16本
08/06/2026
arXiv math.NTの新着論文16本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-06/
Rational spanning sets of level-one cusp forms from Eisenstein series at prime levelsThe distribution and the structure of the maximum of partial sums in families of trace functionsThe $5$-divisible integer group determinants for the elementary abelian group of order 25On the Burgess bound and Pythagorean triples involving primitive rootsPowers as Fibonacci SumsRegularized Multitangent Functions and Reduction TheoremConstruction Of Non-Odd Galois Representations With Large ImageOn the $L^2$ restriction norm of large levelA proof of the Freiman-Lev conjectureAdelic framed form class groups and explicit class field theoryQuantitative Khintchine on the p...ディオファントス方程式と代数体と格子 - 2026/8/5の論文16本
08/05/2026
arXiv math.NTの新着論文16本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-05/
A Classification of Multiply Monogenic Quartic OrdersCounting in Vieta graphs over $\mathbb{F}_p$On pairs of primes with small order reciprocityAdmissible Pairs: A Variation to Pollock ConjecturesMellin Transform Formulas for Anderson Modules and Hints of ModularityErd\H{o}s-Moser Equation in Arithmetic ProgressionsExplicit Jordan decompositions for ideal lattices in CM fieldsNo three algebraic conjugates of degree sixteen sum to zeroAn upper bound for counting algebraic tori over $\mathbb{Q}$ by Artin conductorOn the distribution of $\phi(\psi(n))$ and $\psi(\psi(n))$Non-split Cartan curves and a characterization o...楕円曲線とL関数とマラー測度 - 2026/8/4の論文54本
08/04/2026
arXiv math.NTの新着論文54本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-04/
Random Multiplicative Functions with Periodic WeightsLjunggren--Jacobsthal and Bailey-Type Congruences for Rectangular Gaussian Binomial CoefficientsAsymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fieldsPositive rational series for reciprocal powers of Catalan's constant and Dirichlet beta valuesNegative bias in moments of the Legendre family of elliptic curvesMachine learning the arithmetic of Boyd's Mahler measure conjecturesFaster Deterministic Integer Root Finding for Integer PolynomialsDynamical Canonical Heights and Finite TreesThe Minimal Degree of Salem Numbers with Negative TraceCycles for Rankin-Selberg $L$-functions, I: automorphic periodsde Rham theory and locally analytic vectorsArithmetic...乗法群と素数とp進ホッジ理論 - 2026/8/3の論文10本
08/03/2026
arXiv math.NTの新着論文10本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-03/
Multiplicative dependence in the sumset of multiplicative groupsThe Fine-Structure Hierarchy of Prime Biases and the Universal Dominance of $-1 \pmod N$Small points in radical extensions of number fieldsGeneralized Wieferich primes and monogenic trinomialsAn Introduction to p-adic Hodge TheoryA sharp almost sure upper bound for partial sums of random multiplicative functionsOn the size of $h$-fold sumsetsThe least quadratic residue and integers represented by quadratic formsOn Generalized Chebyshev polynomialsSlice and Partition Rank Criteria for Polynomial Zero-Avoidanceディオファントス近似とガロア群と分割関数 - 2026/7/31の論文23本
07/31/2026
arXiv math.NTの新着論文23本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-31/
The exceptional set of the Goldbach problemMultivariate counting of wild abelian extensionsOn some Diophantine and Ergodic properties of the Schneider map over function fieldsOn the greatest common divisor of $n, \lfloor \alpha_1n\rfloor, \lfloor \alpha_2n^2\rfloor, ..., \lfloor \alpha_kn^k\rfloor$An Asymptotic Bound for Non-covering Congruence Systems over Fq[x]Perfect $2$-codes over arbitrary alphabetsSchur Eisenstein series and Schur MacMahon seriesIrrationality of finite logarithms in a congruence-class ad\`ele ringOn a question of Gowers related to Littlewood's conjectureOn the Gow--McGuire Conjecture for Primitive Quadratic PolynomialsRan...