プレプリどんどん: math.NT

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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)

  1. 13時間前

    MATH-NT - 2026/9/25の論文39本

    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 theorem on simultaneous approximation to algebraic numbersCounting consecutive multiplicatively dependent triplesA geometric proof of Peck's theoremA power-sum obstruction to cyclotomicity in a family of symmetric numerical semigroupsLie algebras for multiple Eisenstein series and multiple q-zeta valuesThe Fermat-Type Matrix Equation over $\mathrm{GL}_2(\mathbb{Z})$Reducibility of $rx^m+p^e f(x)$ for Large Primes $p$On murmurationsArithmetic progressions in dense subsets of primitive elements of finite fieldsSelf-intersection Points of Billiard Trajectories in a Square with Small PocketsOn the density of $A+B$ when $B$ has few elementsOn smooth elements in arithmetic semigroupsInfinitely Many Off-Critical-Line Zeros of the Tempered Xi Function: A Disproof of Yang's ConjectureIdentities and congruences involving orthogonal polynomials and Ap\'ery-like numbersA note on isomorphism types of complete discretely valued fields of mixed characteristicComputing the divisor summatory function in $N^{9/28+o(1)}$Sparsity of rational points on torsion level covers of Hilbert modular varietiesDiophantine approximation by primes and Landau--Siegel zerosLonely Runner RelationsThe Schur multiplier of $\rm{SL}_2$, $K_2$, and Dedekind zeta-functions over $S$-integersPro-$\mathbf H_p$ density in the free group of rank two: a Frobenian criterion on the mod-$p$ torusProof of the positive trace gap conjectureOn the DML(1) property for regular endomorphisms of affine spaces: the $\mathbb{G}_m$-caseCongruence Classes in $\mathbb{F}_p^2$: Sharp Results via an Energy ApproachDisproof of a Conjectured Upper Bound for the Davenport ConstantTotal rings of quotients of higher dimensional Iwasawa algebrasA computable wandering and tracelike vector for modular orbits in the Bergman spaceHigh Rank and Multiplicity in Random and Perfect Profinite GroupsFrobenius lifts and point counting for smooth curves

  2. 1日前

    MATH-NT - 2026/9/24の論文41本

    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 partsInfinite families of pairs of real quadratic fields whose class numbers are divisible by a given integerDefinite integral Albert algebras: arithmetic and finite geometryModular integrals for individual modular knotsConstruction of vector-valued adelic automorphic formsZero density estimates for $\mathrm{GL}_2$ automorphic $L$-functionsGevrey localization for simple and distinct zeros in a prime-modulus Dirichlet familyAn Approximate Version of Vu's Theorem on Economical Subbases For Non-Integer ExponentsShifted log-sine integrals and multiple zeta valuesMorse Topology, Zero Products, and Elliptic Prime CrossingsOn some $D(u^2)$-triples and quadruples of triangular numbersBeyond the unique pair: a two-parameter family of rational triangles with equal perimeter and areaThe Arithmetic of Reducible Rank 2 Hypergeometric MotivesAn Introduction to the Lagrange and Markov Spectra through the Lens of Generalized Markov NumbersWeighted bilinear identities and supercongruences for Ap\'ery-like polynomialsOn the hyperbolic prime number theoremDistinguishing Gauss sumsA tyro's approach to the tilted sieve: beyond the Erd\H{o}s--Rankin boundCounting $k$-tuples of positive integers such that the values of several polynomials of $k$ variables are relatively primeRankin-Cohen Pairings and Hilbert Hecke Eigenform Product IdentitiesOn the monomials of Poincar\'e Series of negative indexTrivial zeros of zeta functions of type $\mathrm{A}_r$Delta Characters and Filtered IsocrystalsOn the distribution of the minimal length of addition chainsA Szemer\'edi-Trotter Theorem in Arbitrary FieldsThe intersection of local Arthur packets for even orthogonal groups and applicationsA minimal HRT counterexample at the sharp Gelfand--Shilov thresholdResultant of an equivariant polynomial system with respect to the reflection group $G(r,n)$The Tate conjecture for powers of abelian fourfolds and the Hodge conjecture for powers of CM fourfoldsLocally analytic representations in mixed characteristic via stacksEndoscopic liftings and parameters of epipelagic representations for classical groupsEvaluating $\mathrm {SU}(3)$ Verlinde sums using spectral graph theoryComputation of anisotropic singular sums from high-order derivatives of Epstein zeta functions

  3. 2日前

    MATH-NT - 2026/9/23の論文45本

    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 of multiplicative groups by small primesThe density of sums of distinct divisorsDensity of large holes among power-free lattice pointsA surprising generalization of the M\"{o}bius functionS-integrality for families of ordinary K3 surfaces and algebraicity theoremsOn the positivity of truncated pentagonal number series and some conjectures of MercaIrrationality Exponents and Partial Quotient Growth in Continued FractionsAbelian $p$-extensions with restricted $p$-ramification and the cyclotomic $\mathbb{Z}_2$-extension of $\mathbb{Q} (\sqrt{q})$The large sieve through Parseval, Large sifted sets are regularThe weighted large sieve through ParsevalLarge values of the Hurwitz zeta function with rational parameterEqual subset sums and close divisorsBoyd's conductor-11 Mahler measure conjecture: proof of the split-integral identity (C3), with an exact structural analysis of the family S_kA certified continuation machine for Mahler measure identities at CM points, with twelve new proofs of conjectures of SamartPeels of Equilateral Triangulated SurfacesOn two families of period integrals related to Catalan's constantImproved rational approximations to Catalan's constantCokernels of random $p$-adic orthogonal matrices and their linearizationsIterated integrals for generalized Appell functionsA divisibility of automorphic periods for the real quadratic base change of $\mathrm{GL}_3$Stable base change from unitary groups in three variables and integral relation of automorphic periodsRemarks on the Geometry of Sets in $\mathbb{Z}^d$ with Small Fourier $L^1$ NormThe existence and uniqueness of magic-faced hypercubes, and applications to Khajuraho most-perfect magic squares, cubes, and hypercubesThe Odlyzko-Poonen Conjecture on Irreducibility of Random PolynomialsExtreme values of central $L$-derivatives and heights of Heegner pointsA finite arithmetic form of Robin's inequality and its equivalence to the Riemann hypothesisAn irreducible decomposition of the Weil representation restricted to open compact subgroupsThe unique extremal threemodular lattice of rank 26, the generalized hexagon $(2,8)$, and the tight Cayley-plane $5$-designApproximating Pi (and other constants) by Radicals in the Footsteps of Rabbi Abraham Ibn Ezra and Guru RSJ ReddyErgodic Averages over Shrinking Sectors of $\mathbb Z[i]$Continuous Optimization for p-adic ModelsZero-Run Spectra of the $(3,2)$ Raney numbers Modulo PrimesEisenstein scattering and Plancherel decomposition on cuspidal Bruhat-Tits quotientsResultant of an equivariant polynomial system with respect to a direct product of $r$ symmetric groupsSupport-Primitive Decomposition of Constacyclic Codes over Finite Fields: Coefficients-Based and Roots-Based Descriptions

  4. 3日前

    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

    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 $\mathrm{GL}_n$ Local Shimura Tower in Odd RankOn $\mathbb{Z}_2$-extensions of real quadratic fields with class group of $2$-rank threeCounting number fields with symplectic Galois groupThe variance of the number of lattice points in narrow sectorsExplicit bounds for the prime number theoremWave Numbers: Discrete Sequence Algebras, Sieve Projectors, and Dynamical Geometry$v$-adic Chowla-Selberg formula over function fieldsCritical Pairs for Mixed Restricted Sumsets in Prime FieldsA two-step supercongruence for an Ap\'ery-like sequenceLarge values of quadratic Hecke $L$-functions with prime-related moduli of the Gaussian fieldLower-order terms in mean-square formulas for the Euler--Zagier double zeta-function and regularized multiple zeta valuesHigher Reciprocity, Cassels Pairings, and Selmer Towers for the 3/5 Congruent Number ProblemRefined sum formulas for finite multiple zeta values of level twoTwo Legendre-symbol determinants of Sun and Bernoulli numbersConcave transforms and volumes of adelic line bundlesSelmer groups of CM-twists of elliptic curvesInterpolation determinants and the Lebesgue--Nagell equation $a^2-D=b^p$On the noninjectivity of Jordan's totient functionsDetecting split surfaces, RM surfaces, and minimum walks on isogeny graphsNon-Archimedean Poincar\'e series and geodesics on the Bruhat-Tits treeThe exceptional set of a prime and a squareOn existence of generalised Lehmer numbers modulo primesImaginary Non-CM Fields of $2$-Power DegreeA fully faithful p-adic Riemann--Hilbert functor for filtered coherent D-modulesProofs of eighteen conjectural identities related to the modulo nine Kanade--Russell identitiesSharp zero estimates for trajectories of polynomial vector fieldsProportions of the non-trivial zeros of the Riemann zeta functionSelberg sieve weights and sign changes of Kloosterman sums. I. Uniform asymptotics for shifted weightsSelberg sieve weights and sign changes of Kloosterman sums. II. Square-free moduli with at most four prime factorsOn the abundance of rigid meromorphic cocycles for quadratic forms in four variablesThe lower bound of shifted primes with large prime factors$D$-elliptic modular curves $X_0(N)$Asymptotic Behavior of Iterated Sets of RemaindersWeighted Generalizations of Zagier's PhenomenonThe local Dold congruence for Fibonacci and Lucas sequencesOn Normality Preserving OperationsGeometry around unramified CM pointsAlgebraic independence of periods of Anderson modules and their hyperderivativesExceptional maps and abelian points in backward orbitsA polynomial basis for the multizeta algebra in positive characteristicAbelian dynamical Galois groups over global function fields$\Kab$ has the Bogomolov property for canonical heightsThe Hall-Janko Simple Group and the Icosian Leech LatticeExtremal Least Common Multiples in Rows of Pascal's TriangleExistence of a Hall ray in higher dimensional Lagrange spectraSum of Three Squares and Particle in a Cubic Box - DegeneraciesQuantum modularity in refined topological recursionFundamental Lemmas in Universal ResolutionFrom Dimension Drop to Aperiodic OrderDensity of almost squares of horospherical orbits in non-uniform quotients of $\operatorname{SL}_2(\mathbb{R})\times\operatorname{SL}_2(\mathbb{R})$

  5. 4日前

    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

    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 Certain Minimal Excludants Over OverpartitionsOn low-discrepancy sequences and Poissonian pair correlationHigher Labute-Serre duality and Lyndon wordsNon-existence of sets with few special directionsReal quadratic fields and finite quantum dilogarithms I$\mathbf{Bad}(\mathbf{r};\mathbf{s})$ is Hyperplane Absolute WinningAn equivariant version of Gabber's lemmaOn the Injectivity of Elementary Symmetric Partitions and the Multiset Recovery Problem

  6. 9月18日

    素数とガロア群と有限体と和集合 - 2026/9/18の論文26本

    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 sumsetsA characterization of Sophie Germain primes - IIThe Three Gates: A Rooted-Operator Approach to Weil PositivityA problem of Yang and Chen on weighted representation functionsLow moments of automorphic random multiplicative function sumsFinding New Limit Points of Mahler Measure by Methods of Missing Data RestorationComputational results on sums of a prime with squares or cubesRogers--Ramanujan identities from the geometry of $X^a=Y^b$An ergodic approach to equations of the form $x+y=\lfloor\alpha(n)\rfloor$Sumsets of Ahlfors--David regular setsOn the Hiraga-Ichino-Ikeda conjecture on formal degrees for $\mathrm{G_2}$A complete classification of permutation binomials of the form $X^r(X^{q-1}+a)$ over finite fieldsInfinite prime sumsets in structured and $U^k(\Phi)$-uniform setsConductor-Discriminant Inequality for Tamely Ramified Cyclic Covers IConductor-Discriminant Inequality for Tamely Ramified Cyclic Covers IILogarithmic--exponential preparation in sharply o-minimal structuresCombinatorics of hyperplane arrangements and Witten zeta function at the originMorphism spaces on low degree hypersurfaces

  7. 9月17日

    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

    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 lemmaNonvanishing of ray class $L$-functionsA $q$-recurrence for a finite Ap\'ery limitGraded Algebras of Modular Forms and Sign Changes of Fourier Coefficients for Eta QuotientsBounded intervals containing a given number of primesExtreme Values of Quadratic Dirichlet $L$-Functions over Monic Irreducible Polynomials in $\mathbb{F}_q[t]$Cyclotomic Prime ExtractorsPeriodicity conjectures for all 2-sumfree sequencesExtreme values of Euler-Kronecker constants of cubic abelian fieldsStable Trace Formula for Newton strata of Shimura varietiesOn Multiple Eisenstein Series in Positive Characteristic: Direct Sum ResultOn a conjecture of Browning and Sawin on random hypersurfaces with sign coefficientsA uniform effective Andr\'e--Oort resultAn Omega result for partial sums of the Riemann zeta function$\Omega$-results for the logarithmic derivative of $\zeta(s)$ on vertical homogeneous progressionsArithmetic Constraints and Limit Laws for Diagonal Rational PartitionsFinite Fourier Duality, Radial Values, and Arithmetic of a Mod Eight False Theta QuotientTranscendence criteria for the minimal word of the rational base $3/2$Tunnell-type criteria for variants of the congruent number problemExplicit equations of Galois subfields of Hermitian function fields with respect to decomposition groupsThe non-spherical sup-norm problem for $\mathrm{GL}(n)$ and generalized spherical functionsTwo proofs of the Cassels--Swinnerton-Dyer conjecture for cubic surfacesGeneralized DCCQ: From Binary Quotients to Multinomial Simplex Geometry and Critical-Strip CoordinatesOn the singularities and the Kodaira dimension of unitary Shimura varietiesA somewhat sure note on an un-Schur problemGraph lattice sums and graph zeta functions for long-range interacting quantum lattice models

  8. 9月16日

    L関数と楕円曲線と数体と素数 - 2026/9/16の論文38本

    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--Scholze's parametrizationTwisted Rational Zeros and Local-Global Principles for Linear Recurrence SequencesHigher Schwarzians of Elliptic Double Covers and Eisenstein--Kronecker FunctionsThe Furstenberg-S\'ark\"ozy theorem for sums of an even number of odd powersAn infinite family of imaginary biquadratic fields with a large class numberLaurent series expansions for the Barnes multiple zeta functionTriple divisor type functions in arithmetic progressions to prime power moduliIwasawa theory of (directe) Cayley graphsThe Local Ghost Theorem in the Tr\`es Ramifi\'e CaseDistribution of squarefree integers with double congruence conditionsPrime-power congruences for level-one eigenformsExtreme values of quadratic Hecke $L$-functionsOn $t$-sumfree sequencesMixed moment of $GL(2)$ and $GL(3)$ $L$-functions in the level aspectAn additive problem in connection with some quadratic real fields with class number onePowers of the Thue--Morse Series: 2-Adic Valuations and Automatic Odd PartsRefined conjectures on Fitting ideals of BDP Selmer groupsModular functoriality for finite groupsUniform Mordell-Lang conjecture for semiabelian varietiesA class formula for effective Anderson motivesOn Sarnak--Str\"{o}mbergsson conjectureImproved bounds for Szpiro's conjectureEven-degree Hermitian Ikeda lifts via Fourier-Jacobi descentHypothetical connection of the theta functions of Dirichlet characters with the real cyclotomic fieldsLoop spaces, twistor $\mathbb P^1$ and tempiric parametersList Decoding, Linear Hashing, and Furstenberg over $\mathbb{F}_q$Block-count constrained harmonic sums: spectral expansion and block-directed Euler-MaclaurinOn a classical zero-sum invariant II: Disproof of a long-standing conjectureSmall degree isogenies between conjugate principally polarized superspecial abelian surfacesA perimeter analogue of Franklin's identity and an inequality related to the parity of parts

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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)

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