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L関数と楕円曲線と多ゼータ値 - 2026/8/12の論文16本
Yesterday at 5:00 AM
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
Last Tuesday at 5:00 AM
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
Last Monday at 5:00 AM
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
Last Friday 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/2026-08-07/
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...L関数と数体とp進解析 - 2026/7/30の論文18本
07/30/2026
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/2026-07-30/
On purity of Anderson t-modulesInclusions between p-bounded crystalline loci in dimension twoBhargava Gamma functions for determinant-admissible setsOn the transcendence of twisted special $L$-values at non-negative integers in characteristic $p$Improved Bounds for Distinct Multiples in IntervalsOn Oliver's relations between infinite series and infinite productsOn a Question of Lehmer concerning the Comtet NumbersOn the higher algebraic $K$-groups of arithmetically equivalent number fieldsExplicit mock Heegner points and BSD formula on certain Mordell curvesDimensions of Orbit Closures and Discrepancy for Dynamical $p$-adic SequencesKuroda's Class Number FormulaOn a problem of minimal...L関数と超越性とディオファントス解析 - 2026/7/29の論文23本
07/29/2026
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/2026-07-29/
Extremal Chowla sets and their linear analogues: A human-AI mathematical investigation using Co-ScientistTranscendence of multivariate Mahler functions and algebraic relations between their valuesTwisted automorphic descent to odd GSpin groups and applicationsOn certain $D(9)$ and $D(64)$ Diophantine triplesThe Explicit Hypergeometric Modularity Method IIIDiagonal cycles on Shtukas and the adjoint $L$-functionOn the Vanishing of the Brauer-Manin Obstruction for Normic BundlesBeyond endoscopy for the symmetric square representation: The simple trace formula caseExtreme values of quadratic Dirichlet $L$-functions with prime-related moduliOn an asymmetric additive energy inequalityHypernatural numbers in arithmetic Ramsey theoryRef...L関数と数値半群とモジュラー形式 - 2026/7/28の論文31本
07/28/2026
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/2026-07-28/
Jittered sampling and probability measuresTadpole Nahm sum as a WronskianUnshared zeros of Dirichlet $L$-functionsOn the Frobenius Number of Quotients of Numerical SemigroupsFinite length for unramified $\mathrm{GL}_2$: beyond multiplicity one, non-semisimple caseOn the role of higher roots in prime ideal racesExplicit Twisted Hilbert Class Components Beyond Classical IrregularityOn the Comparison of the D-new Modular Degree and the Shimura Degree of Modular Abelian VarietiesModularity of Nahm Sums Dual to Zagier's Rank-Three ExamplesA lower bound for the distance between CM points on Shimura curvesMatrix Kloosterman sums and product-trace estimates for s...有界性と剰余と乗法的関数 - 2026/7/27の論文11本
07/27/2026
arXiv math.NTの新着論文11本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-27/
Explicit bounds for Buchstab's functionA More Efficient Algorithm for Finding the Number of Permutations of $\mathbb{ZZ}/n\mathbb{ZZ}$ with Distinct Partial SumsFactorial Calculi and the Canonical Stirling Defect of the Prime Bhargava FactorialDensities of arithmetic Hecke triangle group orbitsExplicit height bounds on modular polynomials for the elliptic $j$-invariant, cube root of $j$, and Weber modular function $\mathfrak f$Prime-Interval AlgebrasCongruences for the coefficients of MacMahon-like $q$-seriesPlaying with additivity conditions in multiplicative functionsAutonomous disproofs of the sum-product conjecture over $\mathbb R$ with GPT-5.5 ProExterior power sumsSom...ゼータ関数とフィボナッチ数とL関数 - 2026/7/24の論文18本
07/24/2026
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/2026-07-24/
A problem on sumset sizes of sets of lattice pointsInfinite Sidon-type sets for zero-sum linear formsInverses of Fibonacci and Lucas Numbers via Rational IndicesZeros of the Dirichlet series of even zeta valuesOn a Diophantine Equation with Jacobsthal and Fibonacci NumbersMurmurations of quadratic Hecke $L$-functions of the Gaussian fieldOn $v_2(q),v_3(q),v_4(q)$, and Andrews' Conjectures 5 and 6On structured cosine sums and applicationsFibonacci, Dirichlet, and Gauss in a single sumThe $p$-rationality of $\mathbb{Q}\left(\sqrt{-(kp+m)}\right)$ and $\mathbb{Q}\left(\sqrt{p(p+1)}\right)$On...ゼータ関数とガロア群と楕円曲線 - 2026/7/23の論文12本
07/23/2026
arXiv math.NTの新着論文12本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-23/
Integral magneticity of the level-two K3 packet: CM theta lifts and a 2-isogeny trace contractionAdditive and multiplicative densities, prime valuations and symbolic modelsMultiplicative dependence modulo subsetsThe Pila-Zannier strategy for Drinfeld modules and Drinfeld modular curvesOn the value distribution of the Riemann zeta-function with general shiftsExtreme values of quadratic Dirichlet $L$-functionsNon-Archimedean Rigidity and Uniformity for Common Preperiodic PointsRational Spectra for Finite Hadamard Pairs and Bounded Spectral Sets on the real lineThe Significance of Proposition II in Galois' M\'emoire, The Origin of Galois AutomorphismsThe inverse problem for the Steiner-Wiener...ベルヌーイ数と楕円曲線とモジュラー形式 - 2026/7/22の論文16本
07/22/2026
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/2026-07-22/
On a certain arithmetic function defined via Bernoulli numbersBinary quadratic forms and elliptic curves with analytic rank oneDivisor moments of polynomials in Fourier coefficients of modular formsOn Diophantine $m$-tuples related to primitive elements of finite fieldsOn the digits of the sum of proper divisorsA Distinct Covering System with Minimum Modulus 7 and Minimal Least Common Multiple 10080On canonical roots of fractional idealsOn the $\mathcal{A}$-transcendence of a Champernowne-type constantUnlocking the Wronskian Tower: A Simplification of the Holomorphic Modular BootstrapCyclic and Constacyclic Codes Over Z4+iZ4A Local Classification of Four-E...楕円曲線とモジュラー形式とゼータ関数 - 2026/7/21の論文29本
07/21/2026
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/2026-07-21/
Exceptional Sets for Certain ${}_2F_1$ Hypergeometric FunctionsA Complete classification of the rank of a certain family of elliptic curvesNon-ordinary primes and congruences for weakly holomorphic modular forms of level 2Density of Unicritical Polynomials over Local Fields with Rational Periodic PointsArithmetic properties of the 2-color overpartition function $\overline{p}_\ell(n)$Solutions to Two Problems of S\'ark\"ozy and S\'os on Additive Representation FunctionsCounterexamples of Friedlander--Iwaniec dual sums conjectureAn explicit uniform cubic wedge for consecutive Toeplitz minors of the Riemann xi coefficientsTwisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non...素数と楕円曲線と関数体と等分布 - 2026/7/20の論文16本
07/20/2026
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/2026-07-20/
A counterexample to a conjecture of Thakur on Carlitz-Wieferich primesThe Second Term for Strongly 2-Primitive SetsA weighted entropy approach for the quadratic inverse large sieve conjectureFiniteness of the Tate-Shafarevich group over function fields for groups of multiplicative typeSets of unit fractions without two members whose average is a unit fractionIndecomposable translates and degree-$d$ pointsOn the existence of Newman and Littlewood multiples for certain integer polynomialsImproved bounds for multiplicative functions in almost all short intervalsArithmetic unlikely intersections in powers of the multiplicative groupA comment on the number of $k$-th powers inside...L関数と超特異曲線と非周期タイル - 2026/7/17の論文15本
07/17/2026
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/2026-07-17/
Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residueThe Spine: A Supersingular HighwayThe First Moment of Dirichlet L-functions over Generators of the Character GroupMinimal degree of an isogeny between a supersingular elliptic curve and its conjugateMultiple Clausen values and deformed Ap\'ery-like seriesEquidistribution and the torsor methodOn the Log-Concavity of the D'Arcais Polynomials for Normalised FunctionsDouble $L$-values of Negative Weight Admitting Series RepresentationsOn a character-twisted analogue of Sch\"{a}ffer's equationA Bombieri-Vinogradov theorem for exponential sums over prod...モジュラー形式と楕円曲線と格子点 - 2026/7/16の論文17本
07/16/2026
arXiv math.NTの新着論文17本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-16/
A minimal modularity lifting theorem for Siegel modular formsBeyond Mock Modularity: Elliptic Corrections for Higher Dyson RanksOn the Second Moment of $ L (1/2, \mathrm{As}(f) \times \phi)$Study on Morgan-Voyce type polynomials with Euler-Seidel algorithmOn the Second Moment of $L (1/2, \mathrm{As} (f))$Torsion groups of rational elliptic curves over $\mathbb{Z}_p$-extensions of quadratic fields: the $p\le 5$ caseSpectral fourth moments of Hecke--Maa{\ss} cusp formsBernoulli determinants and cuspidal subgroupsGeneralization of Ramanujan's Continued Fractions for Even OrderRepresentability of systems of proportionally modular numerical semigroupsArea correlations...ゼータ関数と楕円曲線とp進数 - 2026/7/15の論文13本
07/15/2026
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/2026-07-15/
A few remarks on the Baez-Duarte CriterionSolomon zeta functions over arithmetic ordersCurious identities involving Legendre polynomials and Ap\'ery-like numbersOdd Parts of Derivative Period Polynomials and a Logarithmic Transition ScaleLocal statistics and average rank of genus $g$ hyperelliptic curves with a Weierstrass pointOn lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$Euler systems and the symmetric square of a Hida familyCyclic Projective Orbits on Rational Normal Curves and MDS CodesA Note on Iterated Beatty SequencesRanks of Elliptic Curves Twisted by Quadratic F...有限体とガロア表現と特殊関数 - 2026/7/14の論文46本
07/14/2026
arXiv math.NTの新着論文46本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-14/
A counterexample to a subadditivity conjecture of Cohen for Sophie Germain cyclic numbersAffine monodromy and exact value distributions over finite fieldsHyperbolic Arcsine Kernels, Finite Fourier Filters, and Quartic Central Binomial Harmonic SumsInteger Sequences which Are Closed with Respect to Multiplication and whose Sumset does not Intersect the SequenceSimultaneous popular polynomial differences over finite fieldsOn the Summatory Function of $d_3(n)$Local monodromy of unit root F-isocrystals from Shimura varietiesA resolution of Kellner's conjectures on Wilson quotientsOn a Class of Hypergeometric Sums via Recurrences and Product Binomial-Harmonic IdentitiesCl...L関数と数論的関数と楕円曲線 - 2026/7/13の論文13本
07/13/2026
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/2026-07-13/
Joint level-weight murmurations for holomorphic newformsMoments of the number of representations as sums of two prime squaresRemarks on a theorem of SilvermanThe complete cubic Walsh spectrum of a permutation-inverse Boolean familyFirst Moment of derivatives of $L$-functions in a nonlinear familyExtension of the Equation $\sum\limits_{j=1}^{k}jF_{j}^{p}=F_{n}^{q}$ to a Family of Lucas SequencesAverages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weightsThe Young Tableaux Hopf algebra and multiple Schur seriesAsymptotic Formula for MultipartitionsChevalley-Herbrand...ディオファントス方程式とモジュラー形式 - 2026/7/10の論文19本
07/10/2026
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/2026-07-10/
Infinite families of Diophantine quadruples in $\mathbb{Z}[\sqrt{-2}]$ in the remaining exceptional congruence classesNon-orthogonality of the cubic and quartic large sieves via Rankin-SelbergElliptic curves, Fourier ratio, and sampling complexityOn an inhomogeneous uniform Littlewood type problem$L^{\infty}$-norm bounds for Siegel--Jacobi cusp formsOn a parametric congruence concerning generalized central trinomial coefficientsExplicit estimates of the weighted sum $S(x)=\sum_{n \leq x} (-2)^{\Omega(n)} \log\bigl(\frac{x}{n}\bigr).$Explicit upper and lower bounds on certain functions related to $\zeta(s)$ for $s>1$Proof of a conjecture of...p進数と曲線と分割数と多項式 - 2026/7/9の論文26本
07/09/2026
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/2026-07-09/
A problem of D. H. Lehmer in short intervals. IIContinued Fractions of Polynomial Type: Theory and Encyclopedic DictionaryFour squares from three real polynomialsNormal numbers in sparse Cantor setsSchwarz maps for modular curves$p$-adic Hahn series with sparse supportMordell Curves with Ordinates in Arithmetic ProgressionGlobal geometrization of local smooth integral models in the Hitchin fibration for $\mathrm{GL}_n$: The Bass caseIdeal class monoids of cubic ordersAnalytic proofs of Andrews-Bachraoui identities related to two-color partitions with evens in one colorA proof of Andrews-El Bachraoui's conjecture on the parity of coefficien...ふるいとL関数とディオファントス方程式 - 2026/7/8の論文19本
07/08/2026
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/2026-07-08/
A weaker but simpler sieve inequalityInteger values of $\tan(\arctan 1+\arctan 2+\cdots+\arctan n)$ are rareAn Explicit Expression for MZVs in Terms of Symmetric MZVsLarge Sets of Integers with No Harmonic TriplesCorrelations of zeros of a family of $L$-functions in function fields with symplectic symmetrySmall sums of roots of unityAn improved upper bound on the Ruzsa numberOn exotic Diophantine triples in $\mathbb{R}[X]$Steady-State and Transient Heat Conduction Analysis Using a Polygonal Cell-Based Smoothed Finite Element MethodThe Siegel-Weil formula in geometry and arithmeticRandom Multiplicative Functi...楕円曲線とL関数とp進数とゼータ関数 - 2026/7/7の論文54本
07/07/2026
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/2026-07-07/
Recovering Kodaira types from $\ell$-torsion on elliptic curves$(a,a)$-Carmichael numbers and greatest common divisors of $p-a$$p$-adic rigidity for $\mathrm{GSp}_4$A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic formA Mackey criterion for locally analytic representationsBeyond Endoscopy for $\mathrm{GL}_3(\mathbb{Q})$: Functional equation for the $L$-function of a cubic orderRefined Humbert invariants and subvarieties of $\Ac_2(\C)$: the rank 3 caseLubin's conjecture for height-one $p$-adic dynamical systemsOn S\'ark\"ozy-S\'{o}s Theorem related to representation func...ゼータ関数と有限体とp進数と類数 - 2026/7/3の論文20本
07/03/2026
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/2026-07-03/
Utilizing Smoothing Techniques to Bound $|\zeta(1+it)|$Necessary and sufficient conditions on the order of a finite field $\mathbb{F}_q$ for the easy identification of primitive polynomials of degree 2Formalized $q$-series: The Rogers-Ramanujan Identities and BeyondA Pfaffian Proof and Generalization of a Conjecture of Sun ZhiweiOn Euclidean systems of ray classesA Coordinate System for Collatz DynamicsGross-Zagier formula for the $4, 7$ cases of Sylvester's conjectureOn a Smoothed Walfisz Divisor ProblemThe Eichler--Selberg trace formula for Hilbert cusp forms, the class numbers of quartic CM fields, and their distributionsGenuine and str...L関数と指標和と表現論 - 2026/7/2の論文16本
07/02/2026
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/2026-07-02/
Finiteness for \'{E}tale Fundamental Groups of N\'{e}ron ModelsCritical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functionsFunctional Equations Characterize Dirichlet CharactersCharacter sums over smooth numbersDepth Two Mock Modularity by Eisenstein Series CouplingRank of P\'olya Groups in Lecacheux Parametric Family of Quintic FieldsThe Minimal Absolute Value of Sums of Fifth Roots of UnityReductions Of Crystalline Representations Of Fractional Slope $ディオファントス方程式とL関数 - 2026/7/1の論文19本
07/01/2026
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/2026-07-01/
Power-integral matrices over number fields: the Drazin inverse, pseudo-determinant, and numerical semigroupsOn the exponential Diophantine equation $(a^n+1)(b^n+1)=x^2$Several classes of permutation pentanomialsSome new congruences and identities for $SOME(n)$, $DSOME(n)$, $\overline{SOME}(n)$ functions and analoguesOn the Finiteness of Geometric Representations for Varieties over Finite FieldsCounting zeros of Artin $L$-functionsThe classification of real quadratic fields which satisfy Hammarhjelm's conditionA cohomological translation of the Kaplansky radical for profinite groupsSign Laws and Mock Theta FunctionsDiophantine rank stability and non-vanishing of $L$-functionsTamagawa ratios and unboun...ゼータ関数とL関数と素数と数列 - 2026/6/30の論文47本
06/30/2026
arXiv math.NTの新着論文47本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-06-30/
Classification of Boolean Cubic Forms in Ten VariablesOn Brocard's problem with Padovan and Perrin numbersRiesz Means of Quadratic Class NumbersTo be or not to be localOn Carmichael numbers of the form $2^np^m+1$On the Monotonicity of Higher-Fold Representation FunctionsMaximal Gaps for Dilated Lacunary Integer SequencesAn Explicit Cubic Ramanujan--Sato Series for $1/\pi$ on $\Gamma_0(2)^+$ at $D=-163$Moment Estimates and Discrepancy for Sums of Square Roots Modulo OnePoint counts of abelian varieties over finite fields determining their zeta functionDistribution of random multiplicative functions in short intervals, with proper normaliza...ゼータ関数とp進体と整数分割 - 2026/6/29の論文13本
06/29/2026
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Sharp Bounds for Moments of the Dedekind Zeta FunctionCohomological Obstructions for Varieties over $p$-adic Function FieldsSeparable integer partition classes and Slater's list -- IIOn Franke's theorem in the simplest caseLarge common values of generalized Ankeny-Brauer-Chowla recurrencesSign law for Ramanujan's third order mock theta function $\rho(q)$Transversal Difference Numbers in Finite Abelian QuotientsThe Natural Extension for the Triangle Map (a Multi-dimensional Continued Fraction) with An Internal Symmetry from Young ConjugationPerfect powers in sequences of polygonal numbersKontsevich graphs associated with specific multiple zeta valuesSeries involving parametric harmonic zeta fun...ディオファントス方程式とゼータ関数 - 2026/6/26の論文21本
06/26/2026
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Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $\mathbb{F}_q[t]$Rank-Two Drinfeld Module over Elliptic CurvesComputating decomposition groups and inertia groups using Newton polygonsDeterministic and Efficient Ideal Arithmetic via Two-Element RepresentationsAveraged Fourier Estimates and Dyadic Approximation on the Cantor setAdelic Line Bundles, Arithmetic Positivity and Diophantine GeometryQuantitativity in the Mordell ConjectureDetermining Newforms via various relations among Fourier CoefficientsThe Bogomolov Property through Galois RepresentationsA direct proof of Mono-Rolen-Stumpenhusen and new constructions via the Maass raising operatorsWeighted Fruit Diophantine Equations and Hyperelliptic CurvesAmplified moments...楕円曲線とL関数とK3曲面と二進展開 - 2026/6/25の論文22本
06/25/2026
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Cusp Volumes and Rational Points on SpheresBinary Trees and Sum of Two SquaresPositive dyadic density for rational weighted binary expansionsNonsimilar half-neighbors over fields of characteristic 2Divisibility Biases in the Orders of Elliptic Curve ReductionsNegative discrete second moments of Dirichlet $L$-functionsBinomial sequences over prime fieldsHyperelliptic Atkin-Lehner quotients of Shimura curvesStable Quadratic Polynomials over $\mathbb{Q}(i)$Metric results for dyadic approximation on the middle-third Cantor setPrescribed lifts of 2-dimensional representationsIntegrality of height-one formal groupsIwasawa Theory for K3 Surfaces over Finite FieldsProof of the Gawron-Miska-Ulas conjecture concerning unboundedness of...ゼータ関数とRSA暗号と数論的性質 - 2026/6/24の論文14本
06/24/2026
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A Local-Global Study of Obstructed Deformation Problems IIA Regularised Wallis HierarchyOn Zeckendorf-Niven numbers and arithmetic progressionsElements in $K_4$ and regulator maps of Fermat curvesZeta-regularization and natural boundaries: Sums and products of integers and primesBoth $AA$ and $(A+1)(A+1)$ can be smallAn aperiodic set of Wang tiles for every quadratic irrationalA new attack to RSA with small private exponent and partial informationThe Sylow Divisor Condition: a Resolution of Erd\H{o}s Problem 768Holes in Valid-Extension Sets of Finite Gilbreath SequencesN-ary groups of panmagic permutations from the Post coset theoremThe Gonchar...楕円曲線と二項係数と素数とゼータ関数 - 2026/6/23の論文33本
06/23/2026
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Unbounded Oscillation of Euler-Gompertz Diophantine Errors from Bell and Gould NumbersDifferential Addition on Twisted Edwards CurvesDifferential addition on Jacobi quartic CurvesComputing the Greatest Common Divisor of Binomial Coefficients $\binom{mn}{mk}$Duke for DrinfeldOn Bounds of Extension Degrees for Similarity of Integral Matrices over Number FieldsCongruences for Overcubic Partition $k$-TuplesIsogeny graphs associated to Moret-Bailly families of supersingular abelian surfacesOn the modularity of the odd rank generating functionsWeighted sum formulas for finite multiple mixed valuesGeometry of $\mathbf{F}_1$ and Cuntz-Krieger algebrasThe ratio spectrum of Lagrange constants under linear fracti...代数集合とL関数とガロア像と分布 - 2026/6/19の論文9本
06/19/2026
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Randomly piercing algebraic setsConsecutive integers free of certain prime factorsA note on equidistribution on a product of Shimura curves and Andr\'e--OortSymmetric square $L$-functions on $\mathrm{GL}_3$Maximal Arboreal Galois Images for Polynomials of Twisted Carlitz TypeOn the asymptotic density of the ordered pairs $(a,b)$ of positive integers such that $\gcd(ab,a+b)=\gcd(a,b)$Four-digit Kaprekar dynamics in odd basesGenerating Function of single-centered Black Hole Index in CHL ModelsExplicit descriptions of the subfields $(NL)^{pi}$ and $(NL)^{pi}(NL)^{sep}$ of $NL$ and new explicit criteriディオファントス不等式と志村多様体 - 2026/6/18の論文11本
06/18/2026
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On the Diophantine Inequality $\lvert x^{2} - 2^{a}\cdot 3^{b}\rvert < 3\max\{a,b\}$Factorizations of linearized polynomials and extremal curves in odd characteristicModular Heights of Unitary Shimura Varieties II: Arithmetic Generating Series of DivisorsStructured lattices and their applications to securitySchneider--Teitelbaum Duality over a Non-spherically Complete FieldExplicit constructions for Ramanujan-type congruencesSmall values of Carmichael's lambda functionModular Heights of Unitary Shimura Varieties III: Proof of the Main TheoremGeneralization of Selberg's $3/16$ theorem for geometrically finite thin subgroups of $\operatorname{SO}(n, 1)$Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approa...ゼータ関数と分割関数と数列 - 2026/6/17の論文15本
06/17/2026
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Tail Criteria, No-Go Audits, and Ap\'ery-Type Certificate Obstructions for the Irrationality of e+\piArithmetic Properties Satisfied by a Recent Integer Partition Function of DombosA combinatorial large sieve for Sidon sets, distances, and norm formsComputing Hyperfibonacci Numbers by Means of Matrix Transformations and Jordan FormsSquare-Annular Dynamics and Coalescence Frontiers for $n+\tau(n)$An Average-Order Theorem for a Shifted Pairwise-Coprime Extremal ProblemRestricted partition functions and additive complementsRecursions for Mock Theta FunctionsOn zero-sum problems of two new typesAnalytic theories around the simplest screwThe greedy 3-sumfree sequence $S_{1,g,g+1}$Spectral interpr...L関数と楕円曲線とゼータ値 - 2026/6/16の論文32本
06/16/2026
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Atoms in the Semigroup of Non-Negative Integer MatricesPower and rank-weighted sums in dense finite Sidon setsRational 2-Cycles for $x^3+bx+a$ and the Elliptic Family $Y^2=X^3+4X^2+16t^2$Every natural number is a sum of distinct semiprime unit fractionsOn concatenations of two $k$-generalized Pell numbersCounting Algebraic Integers of Bounded Height in Cyclotomic FieldsA full $p^{4r}$ supercongruence tower for a level-three symmetric-cube hypergeometric sequenceLarge values of quadratic Dirichlet $L$-functions of prime-related moduliThe Bateman-Horn conjecture on average for generalized von Mangoldt FunctionsA Beyond Endoscopy Derivation of the Fun...