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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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- 2 days ago2h 32m
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
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 product moment and zero-free half-planes for Hecke L-functionsTwo-point Pad\'e approximation and patterns in continued fractions for $(F_{n+1}/F_n)^k$Uniform cubic bounds for irrational values of the dilogarithmOn Wagstaff primes in the $k$-Pell number sequenceFermat curves and explicit class field theory for real quadratic number fieldsEntanglement for elliptic curve group ordersSmall-LCM Distinct Covering Systems via Segmented Local SearchA secondary term in the first moment of primitive cubic Dirichlet L-functionsImproved first moments of primitive quartic and sextic Dirichlet $L$-functionsAdelic Galois representations are maximal for almost all Drinfeld modulesA solution to the Erd\H{o}s-S\'{a}rk\"{o}zy product-density problemA Counterexample to Wooley's $L^1$ Question for Beatty SequencesSmooth numbers in simultaneous arithmetic progressionsCounting Nilpotent Galois extensions with prescribed genus numberA new upper bound for the irrationality exponent of $\zeta(5)$Irrationality measures for $\Gamma(1/4)$ and $\Gamma(1/3)$Inhomogeneous Fiber Refinement of Gallagher's TheoremGroups of Prime UnitsFinite Cotangent Power Sums Weighted by Additive Characters With Application to Mean Values of Additive-and-Multiplicatively Twisted $L$-FunctionsA Korselt Characterization of Carmichael Numbers of the Form $(aC_n+1)(aC_{n+1}+1)(aC_{n+2}+1)$Probing automorphic induction through zero correlations and secondary arithmetic termsFunctoriality probes over number fields by mixed zero correlationsA converse theorem for GL(2) over global fields without root numbersOn the probability that the integer parts of polynomials are coprimeDeterministic Polynomial-Time Primality Testing with a Single Binomial CongruenceOn the exponential Diophantine equation $\left(P_{n}^{(k)}\right)^{x}+\left(P_{r}^{(k)}\right)^{x}=P_{m}^{(k)}$On the exponential Diophantine equation $\left(P_{n+1}^{(k)}\right)^{x}-\left(P_{n-1}^{(k)}\right)^{x}=2P_{m}^{(k)}$<a href="ht
- 3 days ago47 min
モジュラ性とスペクトル理論 - 2026/11/2の論文27本
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 quadratic polynomialsTwisted second moments of Dirichlet $L$-functions with applications to weighted one-level densityIrrationality of values of $L$-functions for real Dirichlet charactersOn sign patterns of Fourier coefficients of theta quotientsIterated toric descent obstruction and homogeneous spaces over geometric global fieldsJoint universality of the Riemann zeta-function with arbitrary real shift parametersEstimates of Lucas series and expansions in non-integer basesOn the modularity of residually reducible Galois representations of rank 2A conjecture on Galois groups and large fieldsCentral values of additive twists of automorphic $L$-seriesSpectral Beurling-Selberg Approximation and Applications to Effective Motivic Chebotarev-Sato-Tate EstimatesOn the Iwasawa invariants of admissible quadratic twists of elliptic curves at ordinary Eisenstein primesDescent and Decomposability of Algebras of Exponent 2 in characteristic 2Four runners that are barely lonelyA Diophantine generalization of Fourier's irrationality trickThe complexity of tiltingLimit theorems for cuspidal orbits on Fuchsian groups
- 6 days ago2h 5m
幾何構造と数論的解析 - 2026/10/30の論文61本
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 mod $p$ Galois representations over local fieldsRepresentations and $n$-universality of hermitian lattices over local and number fieldsAn asymptotic Jensen-Polya criterion for GRHSerre's conjectures for $\Q(\sqrt{13})$Reciprocity formulas for generalized Dedekind character sumsCA2 numbers and the Riemann hypothesis: a numerical investigation of Ramanujan's inequalitiesFree modules of vector-valued modular forms and applications to Jacobi formsCentres of mass, Steiner's theorem, and equations of Erd\H{o}s-Moser typeThe trace distribution of $r$-primitive $k$-normal elements of finite fieldsAn introduction to the strategy of transcendence proofsOn short averages of the Fibonacci partition functionRational points of exact period three for the quadratic familyMoments of characteristic polynomials at random matrix Gram pointsLow-rank matrices with three prescribed off-diagonal values over $\mathbb{F}_p$Least common multiples of polynomial values: averaging, ray classes, and Galois statisticsVanishing near the virtual cohomological dimension of $\mathrm{SL}_n(\mathbb Z)$Hilbertian Fields and Profinite Iterated Monodromy Groups Over Transcendental Elements with Specializations of Infinite IndexQuasimodularity of $q$-series associated to root latticesAn Arithmetic Property of Intertwining Operators for Real Reductive GroupsExtreme values of Artin $L$-functions at $s=1$Geometric Proofs of Riemann-Type Theta RelationsShifted convolutions of divisor functionsMultiple representations in difference sets under polynomial density constraintsPetersson-rigid lattices of signature (2,1) and their harmonic weak Maass formsSpecial cycles and Picard groups of Baily--Borel compactificationsArchimedean Asai Zeta Integrals and Cohomological Test VectorsThe 120-Cell Dissected by the Hyperplanes of Its Final Stellation: the golden ring Z[phi] as foundation, from Kramer's seven cells to 2,455,201 cells in 338 orbitsA logarithmic error te
- 1 weeks ago1h 22m
L関数と$p$進構造と幾何学的解析 - 2026/10/28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/2026-10-28/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 generalized Lehmer polynomialsEffective Chebotarev-Sato-Tate distribution for Abelian varieties with applicationsArchimedean zeta integrals on $ {\rm SO}_{2n} \times {\rm GL}_n$ and $ {\rm Sp}_{2n} \times {\rm GL}_n $Resolvent Components of Completely Normal Elements and the Morgan-Mullen ConjectureSquare-root logarithmic bounds for the arithmetic complexity of factorial multiplesOn the interpolation property of Kupferer's Lubin-Tate regulator mapsArithmetic Poisson summation formulasOn extended interpolation properties of the Katz $p$-adic $L$-functionFinite Fields: Root Sets, Frobenius, and Algebraic StructureDensity and Defect Distribution of Reduced Ideals Missed by the Reduction Algorithm in Real Quadratic FieldsLarge values of Hardy's Function from the Selberg classNear-quadratic sum-product estimates in fixed number fieldsFactorization of Elliptic Divisibility Sequences via Modular CurvesExplicit Serre weights for modular Galois representations of $U(2)$Universality Criterion Sets for Definite Quadratic Lattices over Polynomial RingsOn $p$-Adic Valuation Trees Arising from Laplace Transform of Fibonacci PolynomialsA zero-density estimate for the symmetric square $L$-functions in the weight aspectClass numbers and finiteness of norm Euclidean quadratic lattices over algebraic number fieldsSpectral $L^2$-bounds on Eisenstein series and Diophantine properties of quadratic formsRank functions, $\mathbb{Z}_p$-extensions and class numbersCoprime matchings of divisor setsRe-Ordering the Generalized Hofstadter Functions G, H, and BeyondOuter Lipschitz Geometry of Unions of Tangential Nodal SetsOn the $d$-invariants of Brieskorn spheres and $\mathrm{GL}(2,\mathbb{Z})$Failure of the congruence Hasse principle for commutators in orientable surface groupsJack multiple zeta functionFractal transference principle for conformal iterated function systemsEnumeration of zero-sum subsequences: A proof of Bialostocki-Lotspeich conjecture<a href="https://arxiv.org/abs/
- 1 weeks ago1h 47m
構造と数論と幾何学の探求 - 2026/10/27の論文53本
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 over finite extensions of $\mathbb{Q}_p$Finite-sum Identities and Supercongruences for Cubes of Catalan NumbersCross numbers and the characterization of finite abelian groups by length setsThree Quadratic Recurrences Modulo 3: What We Can Prove and What We Can GuessOn real biquadratic number fields for which the $2$-Iwasawa module has rank $3$A symmetric extension of Zhao's series for $\zeta(5)$Frangible prime gapsResults for distinct covering systems with a prime minimum modulus $q \ge 11$Admissible sets of integers in imaginary quadratic fields of class number 1Finiteness theorems for trace Euclidean quadratic lattices over totally real number fieldsGeometric progressions in distance sets in odd dimensions over prime fieldsThe Family $X_{qp^s}$ for Distinct Primes $q,p$ in Connection with Carmichael's Totient ConjectureHartl's dictionary and a transcendence characterization of equicharacteristic local shtukas with complex multiplicationDynamical Chowla conjecture for polynomials of several variablesCounting Integral Matrices with Given Cubic Characteristic PolynomialNon-liftability of the field of norms of the $p$-adic false Tate curve extensionOn almost perfect additive complementsGalois groups of polynomials over a fixed number field: determinant methods in general boxes, resolvents, and quantitative countingWeighted density bounds for covering systems over Dedekind domainsBounds on the number of squares in recurrence sequences: $y_{0}=b^{2}$ (II)Congruences modulo powers of $7$ for partitions with colored odd partsSpectral zeta functions in positive characteristicOn Hecke algebras at exceptional Eisenstein primesOn the Hasse principle for a block-diagonal form and a form of lower degreeOn explicit formulas for Grassmannian polylogarithms and Gelfand-MacPherson formsImproved lattice-packing bounds in small dimensionsOn the magic positivity of the Ehrhart polynomials of dilated base polyto
- 1 weeks ago42 min
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
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-ValuesThe limiting zero counting measure for Eisenstein seriesHausdorff dimension of canonical height spectraThe Hardy--Littlewood asymptotic for primes $p$ and $p+4$ from a uniform zeta-ratios conjectureA genus-two spectral curve of the Riemann $\Xi$-function: Real Structure and Certified Arithmetic Separation of PeriodsSpectral convergence associated with Weil's quadratic formTraces of Green's functions on $\mathbb{H}^q$ over point-hypersurface pairsRational Points on Affine Varieties over Finite Fields and Polygonal Number SequencesPower Sum Varieties over Finite FieldsPartial rigidity and q-additive functionsDeterministic Root-Finding over Finite Fields with Elliptic Curves
- 1 weeks ago50 min
幾何と周期と零点の解析 - 2026/10/23の論文25本
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 fieldLandau-Siegel zeros over a base field and effective Brauer-SiegelNonvanishing of 2-primary Kolyvagin classes via simultaneous quadratic twistsDenominators of Hodge integrals and Minkowski numbersRelative Hitchin fibrations and endoscopy for Unitary Friedberg--Jacquet varieties$\SL_3$ dual pairsAsymptotics of local height pairing without Hodge conjectureA general quantified Wiener-Ikehara theoremExact Archimedean Flicker--Rallis Periods on Cohomological Minimal $K$-TypesNonexistence of Constant Congruences for the Cumulative Partition FunctionOpen dynamics with a moving hole: inhomogeneous IFS and exponential separation conditionLog blow-ups and global resolutions in rigid geometryCohomology of integral structure sheaves for open varietiesLocal heights for nef toric compactified divisorsDeep holes of full-length Reed--Solomon codes: uniform bounds and exact classificationsLanglands-Shahidi gamma factors and local transfer in families
- 2 weeks ago1h 11m
整数値と集合和と群の構造 - 2026/10/22の論文35本
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 $L$-functionsConstruction of Galois modules describing ideal class groups and applications to Iwasawa theoryMixed sums of infinite multiple zeta-star values with restricted indicesStatistics of entries of matrices from the general linear group over a finite fieldIdeal class groups of certain real quadratic number fields and factorizations of values of certain quadratic polynomialsComputing Theta Characteristics and their Galois action on general curves of moderate genusThe exceptional set of Goldbach numbers within the set of squaresResidue Sums Modulo Products of Two Distinct Odd PrimesPerturbing the Conway sequenceOn the Gauss sphere problemSharp spherical $L^p\to L^4$ extension estimates over finite fields in odd dimensionsInteger symplectic matrices in expanding boxesIntegral trace forms of cyclic number fields without tamenessOn the notion of reasonable functions in Cohen--Lenstra type heuristicsSquarefree values of random polynomials are Gaussian mixturesA Sharp Bound for Additive ComplementsZeros of $E_2$, quasi-periods, and Schwarz mapsSupport periods of polynomials and support-primitive decomposition of constacyclic codes over Galois ringsLocal Gan-Gross-Prasad conjecture for unitary groups: Trace formula approach for epsilon dichotomyHomological branching laws for $p$-adic and mod $p$ representations of ${\rm GL}_2$ over a $p$-adic fieldHigher rank spectral projector estimates and a Stein--Tomas restriction theoremOn Almost MDS codes holding $(n-k-1)$-designs and an open problem on Witt designSolutions of $x^\alpha+y^\alpha=1$ in $\lambda$-Cantor setsLinear Complementary Pairs of MDS Codes from Elliptic CurvesPainlev\'e representations for joint moments of characteristic polynomials from the orthogonal and unitary symplectic groups
About プレプリどんどん: math.NT
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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