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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. 16h ago

    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

  2. 3d ago

    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 term for subset sums of zero-sum-free setsMoments of Magic Squares: Line-Sum Conditions, a Permutation Threshold, and Random EnergiesDavenport constants with growing binary rankClass groups of polynomial Krull domainsArithmetic classification of the Dirichlet eigenvalues for a one-dimensional nonlocal $p$-Laplacian problemOn the Supersingular reduction of Cubic fourfolds with Complex MultiplicationOn the Complexity of Computing with p-adic LatticesTransfer kernels and the Schur multiplierGoldbach Representations in Quantum Optics and MetrologyThe Categorical Fargues-Scholze Correspondence at Generic ParametersA Uniform Upper Bound on the Length of MDS Codes from Genus-Two CurvesStrongly explicit Ramanujan 2-lift towers via Hilbert modular formsSolutions to several problems on infinite sumset configurationsThe Gleason--Kahane--Zelazko theorem: a gentle introductionIsospectral congruence manifolds, spectral rigidity, and a converse to Vign\'erasParahoric Spherical Whittaker FunctionsThe Kodaira dimension and minimal models of $\mathcal{A}_6$Non-Archimedean Rigidity and the Uniform Dynamical Manin--Mumford for $\left(\mathbb{P}^1\right)^n$Galois module structure of Deligne--Lusztig varieties for $\mathrm{GL}_3$A p-adic Valuation Calculus for Permutations with Restricted Cycle LengthsLattice moments and quantum designsRamanujan Challenge Results: AI-Assisted Evaluation Pipeline for Multi-Format ProofsA self-normalized law of the iterated logarithm for Rademacher random multiplicative functions

  3. 5d ago

    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 conjectureToric Varieties from Multiple Zeta ValuesSharp Bounds for Toral Eigenfunctions and Threefold Additive Energy on CirclesIwahori Whittaker functions for unramified quasi-split groups

  4. 6d ago

    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 polytope of minimal matroidStability of certain elements in the Bernstein centerBrauer--Manin obstruction for Weil restrictionsInequalities and asymptotics for hook numbers in two partition functions of MacMahon and AndrewsFine points of the moduli space of cubic rational mapsMDS codes containing a fixed subcode over finite field extensionsOn the Torsion Subgroup of the N\'eron--Severi GroupColored Partitions and Minimal ExcludantsTemporal central limit theorem for mixed-radix odometer discrepancyPointwise ergodic theorems along oscillating sequencesUniqueness of the maximal function field with the third largest genus in characteristic $3$Modular Existential ClosednessProofs of strong forms of the Bovdi--Geche universality conjecture and a complex analogueCharacterising canonical lifts of ordinary Calabi-Yau varietiesProperties C and D fail for $C_n^r$ whenever $n \equiv 2 \bmod 4, n\geq 6$ and $r\geq 4$

  5. Oct 26

    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

  6. Oct 23

    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

  7. Oct 22

    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

  8. Oct 21

    L関数とコードと割った集合 - 2026/10/21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/2026-10-21/ Galois Groups of Shifted Exponential PolynomialsClass polynomial obstructions to canonical congruences for the smallest parts functionSmall sums of roots of unity: polylogarithmic exceptional sets and conditional separationUpper Bounds on the de Bruijn-Newman constant for Dirichlet $L$-functions with primitive real-valued charactersThe Projective Reed-Muller Code from Quartic Curves in the Projective PlaneQuantum Variance for Hecke--Maass Cusp Forms on the Vertical GeodesicBowen--Franks groups and minus class groups of imaginary abelian fieldsNon-vanishing of central values of angular Hecke $L$-functionsOn a Notion of Density Related to Restricted Diophantine ApproximationAn Equivariant Main Conjecture for Branched $\mathbb Z_p$-Towers of Finite Graphs and ApplicationsSmall values of the Riemann zeta-function near the critical lineA determinant formula for multiple harmonic sums and their linear independenceDense Sets with Prescribed Difference Representation FunctionsNew Directions in IrrationalityWeyl Bounds for $\operatorname{GL}_2\times \operatorname{GL}_2$ Rankin--Selberg $L$-functions via Short Spectral MomentsPrimes in short intervals assuming the Riemann hypothesisPost-quantum commutative group actions from oriented superspecial abelian varietiesTheta RelationsSEAC from EAC modulo Schanuel: reduction to algebraic exponentialsUncountably many settled elements are never Frobenius elementsOn the average of class numbers of indefinite binary quadratic formsIrrationality exponents of logarithmic numbers: Values, quotients, and graded approximationSimultaneous visibility in cut-and-project setsEuler systems for self-dual Hecke characters over biquadratic fields with applicationsSimultaneous popular differences for polynomial and linear progressions in finite fieldsA necessary condition for a Romanoff type theoremA Joint Local Limit Theorem for Prime Divisor Counting FunctionsUnconditional Subexponential Arithmetic Circuits\ for Positive Factorial MultiplesSmall and large gaps between zeros of Dirichlet $L$-functionsBorel's computation of the ranks of $K$-theory revisitedGeneric distinction of induced representations: the case of symmetric spacesA cut-and-project set which is not bi-Lipschitz equivalent to a latticeRational analytic prismatizationSupercuspidal blocks and the local Langlands correspondenceThe stacky approach to de Rham-Witt cohomology

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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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