Episodes
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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/2026-06-15/
On $U_p$-congruences for meromorphic modular forms with supersingularitySecondary terms for first moments of Selmer groups of twists of elliptic curves over global function fieldsResidue Restrictions for a Two-Color Partition SeriesAlmost perfect inhomogeneous powers in arithmetic progressionCounting the number of $1_{n}$-preperiodic integral points of a discrete dynamical system with applications from arithmetic statistics, VIIA Weil Sum Approach to Permutation Polynomials over Quadratic Extensions of Finite FieldsSum of parts in overpartitions and partitions without repeated odd partsSemistable reduction of smooth quarticsExplicit local stable resolution of cuspsValidated numerics for the Gauss problem on continued fractionsAdelic line bundles over a N\'eron model -
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/2026-06-12/
Lower bounds on expressions depending on the functions {\boldmath$\varphi(n)$}, {\boldmath$\psi(n)$} and {\boldmath$\sigma(n)$}, IIIRoot Clusters and Multiclusters over Imperfect Hilbertian FieldsAn AI Proof of 18-Variable Undecidability for Diophantine Equations over $\mathbb Z[i]$Splitting of Polynomial Families via Galois TheoryEffective Estimates for a Class of Farey Fraction Sums and Bounds for Mundici-Type ConstantsMulti-target hyperbolic sieves and elliptic trace obstructionsRamanujan's and Lim's Identities and Harmonic Maass--Jacobi FormsDiscrete Fourier Transform Approach to Cyclically Covering Subspaces of $\mathbb{F}^n_q$Some new modular Nahm sums of ranks 3 and 4Split primes and the Elekes-R\'onyai problemTrace spectra of simplices in large setsSphere Packings in Higher Dimension (after Boaz Klartag) -
Missing episodes?
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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/2026-06-11/
Rankin--Selberg Subconvexity via Spectral ReciprocityMultivariate Period RingsThe p-adic Cauchy Theorem and Overconvergent Period SheavesProofs of two $q$-congruence conjectures of GuoModular variants of p-adic fundamental sequenceCapparelli's partition theorem as part of an infinite hierarchy: Combinatorial and Weighted Words extensions of recent workA note on a conjecture of NgAnswer to a decomposition question on tori raised by Colliot-Th\'el\`ene and SansucBeating Product Constructions for Linear Equations Over Finite FieldsOn Perfectoidizaiton of Finite Algebras over a Perfectoid RingModuli of Supersingular Abelian Varieties in Dimensions $g\leq 5$ -
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/2026-06-10/
On partial T-adic exponential sums and partial exponential sums with p-power conductorA generic categorical local Langlands correspondence for quasi-split reductive groupsA Tsang-range high-moment bound for $\operatorname{Im}\log L(\tfrac12+it,\chi)$ under GRHPrime Quadruplets and Jump Conditions on Arithmetic FunctionsUnique decomposition of ordersOn the Ekedahl sieve for the singular locus of the discriminant polynomialHilbert irreducibility for algebraic pointsEisenstein-Kronecker classes on Hilbert moduli spaces and a new construction of Katz's $p$-adic measureLinear relations of four conjugates of an algebraic number of degree eightA Divisor Parametrization for the Erd\H{o}s--Straus ConjectureWeighted partitions with interval restrictions: exact formulas and a bivariate master identityAdjacent comparison bounds and extremal sets for Ruzsa numbersA natural e\~ne product construction of the Big Witt ringMaximal Transcendentality of the Double-Scaled PCMInd-Banach approach to Grothendieck duality in Rigid-analytic geometryOn superspecial hyperelliptic curves of Rosenhain formsThe convergent stackOn the rank of hypergeometric sheaves on higher dimensional tori -
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/2026-06-09/
Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott SolutionsExplicit bounds for Dickman's functionWeighted Recursions for the Smallest Parts FunctionMinkowski shapes of pure number fieldsOn the sequence $\mathrm{gcd}(a^n-1,b^n-1)$Monogenity of Fibonacci polynomials and Lucas polynomialsA criterion for weighted uniform distribution along functions from a Hardy fieldGcd-closed sets and divisibility among power LCM matrices$P$-adic $L$-functions: $t$-modules and Dirichlet-Goss $L$-seriesWaring's problem involving D.H. Lehmer numbersArithmetic exceptionality of generalized Chebyshev polynomials of the second kindErd\H{o}s Problem 684 at Density One: Small-prime Parts of Binomial Coefficients and Gaussian FluctuationsMurmurations in the Depth Aspect for Maass and Modular FormsOn special perfect polynomials over $\mathbb{F}_2$Uncertainty Principles for the Number Theoretic TransformA convexity proof of Pohst's inequalityOn the degree-$2$ Siegel theta series of extremal even unimodular lattices of ranks $48$, $72$, $96$, and $120$Extremal Type II lattices of rank $72$ are generated by their second shellTranscendence of simple geodesics on finite modular coversZeta functions over curvesThe Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$Polynomial Corners Over finite FieldsDegenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebraWeil's quadratic form via the screw functionFourier Coefficients of Siegel--Eisenstein Series of Degree $2m$ and Weight $m+1$Insufficiency of the algebraic Brauer--Manin obstruction for homogeneous spacesAbelian surfaces of small conductor from genus 3 double coversMultiple zeta values ending with a fixed stringOn the Smallest Counterexample to the Log-Concavity of the D'Arcais PolynomialsFine-scale statistics for $\mathbb{Q}^n$Power Integral Bases in Polynomial CompositionsA note on large values of Dirichlet $L$-functions for characters of fixed order at $1/2 -
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/2026-06-08/
Vanishing Coefficients in Products of Quintuple ProductsTamagawa number formula for JacobiansA mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patternsNote on the Equivalence of Costas Polynomials and OrthomorphismsMulti-scale properties of continued fraction setsConnection between the Riemann zeta-function and random matrices via hyperfunctionsOn the factorizations of integers via division algorithms for polynomialsTwisted Moments of Rankin-Selberg $L$-functions in the Prime-Power Level AspectExact output statistics of Icart's encoding in the exceptional \(j=0\) caseGaps in Multiplicative Sidon Sets IIErd\H{o}s-Kac theorems for discriminants of number fieldsOn the Absolute Geometry of $\operatorname{Spec}\mathbf{Z}$On periods and Jacobians of Heisenberg curves -
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/2026-06-05/
Corrigendum to "Isomorphism classes of Drinfeld modules over finite fields"Theorem $(1+1.9)$ on the Goldbach ConjectureThe Case of the Second Smallest Modulus: or why we cannot be arbitrarily careless?Hasse-Weil Zeta Functions Modulo a PrimeOn explicit Fourier expansions of theta lifts to ${\rm SO}(3,n+1)$ arising from elliptic newforms of level oneExotic and inverted Kloosterman sums over semisimple algebrasDrinfeld modules in rank 2 with CM and S-unit j-invariantsArithmetic Wu Formulas and the Generalized Hecke TheoremRecent Progress around Cohen-Lenstra HeuristicsAn Elementary Analysis of the Prime Partition FunctionA Generalization of the Amdeberhan-Andrews-Ballantine ConjectureOn a conjecture on Romanoff type sumsetsNo three algebraic conjugates of degree sixteen sum to zeroArithmetic statistics of isogeny Selmer groups associated to hyperelliptic curvesArithmetic Kashiwara Regularity and Orbit Classification for Filtered Strongly Equivariant $\mathcal{D}^{\dagger}$-ModulesHiggs bundles on the Fargues-Fontaine curveTwo notes on valued fieldsDecomposition Theorem for Perfectoid Rings along General IdealsStability of the smooth Casselman-Jacquet functor -
arXiv math.NTの新着論文14本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-06-04/
Enumeration of modular forms for $\Gamma_1(N)$Voronoi-Hankel TransformsWeighted Recursions for Hurwitz Class NumbersDigit frequencies and class numbersAn Explicit Surjectivity Threshold for Digit Sums of PrimesRepresentations of positive integers by three almost-prime squaresCorrespondence of discrete series representations of $\mathrm{GSp}_{2n}$ and its inner formInteger points close to a transcendental curve: an algorithmic approachThe leading constant in Malle's conjectureKhintchine's Theorem for Symmetric matrices via Flows on the Space of Symplectic LatticesA Note on Jacobians with Prescribed FactorsPrimitive inhomogeneous approximation for fixed non-singular frequenciesLocal-global conjugacy questions for affine extensionsStochastically evolving ellipsoids with symmetries -
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/2026-06-03/
A Note on Diophantine Approximation with Restricted DenominatorsA Fibonacci theorem for Collatz trajectories via modular graph structureGeneralized polygonal number representationsExplicit generators of the space of modular formsOn the Schematic and Analytic Constructions of the Local Langlands CategoryOn the Argument of the Lerch, Chowla--Selberg Formula and CM Values of $\eta(\tau)$Diagonal Condition in Multiplication Table of $\displaystyle {\, \mathbb{Z} [i] / (\alpha) }$Planes in quadratic 4-space and associated shapes of latticesMajorization and Gaussian-Mass Maximality for Construction-A Lattices from Binary Self-Dual CodesThe Fontaine operator at cusps of modular curves at infinite levelPair correlation of $\alpha n^{\theta}$ for random $\theta$A $q$-Analogue of a Supercongruence Related to Van Hamme's (B.2) SupercongruenceSome new results on determinants and permanentsA note on partitions in the image of pre$_2$On maximal Dynkin friezesA conjecture of Glasby, Praeger, and Unger on permutations of $S_n$On $\mathbb J$-strata with Parahoric Stabilizers in Affine Deligne-Lusztig VarietiesCassini's identity for k-bonacci numbersAn Iwasawa-type asymptotic formula for multiple $\mathbb{Z}_p$-coverings of graphsOn the prime field spherical restriction conjecture in four dimensions: breaking the Stein-Tomas exponent and applicationsComplete Families of Curves in the Moduli Space of Genus g CurvesHalf of finite abelian groups are unit groupsThe Abel--Jacobi map over the twistor-$\mathbb{P}^1$ and real local class field theory -
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/2026-06-02/
Perfect powers in the product of denominators of elliptic curvesOn $\mathbb{Z}_2$-extensions of real quadratic fieldsPrescribed realisation of longest runs in continued fractionsPolylogarithmic Analogues of Euler's ConstantOn the $P(t)$-adic Littlewood conjecture in odd characteristicsLocating a shortest vector in certain $2$-dimensional latticesOn indecomposable elements in latticesThe categorical local Langlands conjectureA further study of polynomial $g_{n,q}$ over finite fieldsTopological and Diophantine properties of lattice subset projectionsTame Galois Groups, Linking Numbers and MildnessPiatetski-Shapiro Primes in short intervalsAdditive Rigidity for Images of Rational Points on Abelian Varieties II: The General CaseA Sharp Reverse Minkowski Inequality for the Gaussian Mass of Integral Unimodular Lattices Through Rank $32$Sums of Apostol's M\"{o}bius functions of order $k$Distinguished defining polynomials for extensions of p-adic fieldsGeometrization of summation formulae for quadricsHigh moments of random multiplicative functions twisted by Fourier coefficients of modular formsIntrinsic Subgroups and the $\ell$-adic Galois imageOn a problem on a generalization of Euler's totient functionOn cyclotomic matrices related to Kloosterman sums over finite fieldsInfinite Moments of Class Groups for Solvable Fields with a Normal Abelian SubgroupApplications of a formula of Maesaka-Seki-Watanabe type for multiple harmonic $q$-sumsUniversality of the cokernels of random $p$-adic matrices with inhomogeneously balanced columnsOn the unit equation $\varepsilon+\delta=n$ in cubic fieldsOn periods of Elliptic curvesArithmetic regularity as an alternative to transferenceCyclotomic factors of rational necklace functionsAnalogues of the Lindel\"of Hypothesis for the Barnes multiple zeta function and related problemsFinding the complement of an elliptic curve inside a JacobianThe Primes are $2$-AccessibleInfinitely many holes in connectedness loci for collinear affine iterated function systemsNon-Archimedean Massera-Schaffer-Maligranda-Pecaric-Rajic InequalityHitting Arithmetic Progressions at the Square-Root ScaleThe 1/2-Conjecture for $q$-Binomial Coefficients with Fractional IndexThree-color van der Waerden numbers grow super-exponentially -
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/2026-06-01/
Density of subsets of squarefree elements in certain Dedekind domainsOn the density of rational lines on diagonal cubic hypersurfaces, IITranscendence and measures via the refined Diophantine exponentAn Improvement of Konstantoulas' Density ConstantPerfect powers among Jacobsthal numbersIntegrality of Averages of Roots of Unity and Perfect IsometriesThe Bogomolov property for $p$-supercuspidal eigenformsVisible 2-torsion in the Tate-Shafarevich group of an elliptic curveOn the asymptotic average diameter of blocks of uniformly distributed sequences and related resultsMoments of partition statistics, Bell polynomials and Eisenstein-type series -
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/2026-05-29/
On Ramanujan's $q$-Continued Fractions of Order Thirty-Four and Sixty-EightAsymptotic formulas for sums of elements from a multiplicative groupOn a conjecture of GoldmakherMersenne numbers and the doubling mapWeierstrass semigroups at totally ramified places of degree one on linearized function fieldsOn the power of the discriminant of a univariate polynomial as a certain determinant in positive characteristicInducing Whittaker Functions from Higher RanksThe weighted large sieve through ParsevalIwasawa invariants of Bertolini--Darmon Theta ElementsCanonical extensions of $p$-adic shtukas on toroidal compactifications of Shimura varietiesBourgain's $L^2$ pointwise ergodic theorem over function fieldsSubsequence Sums in PermutationsSuperspecial plane quintics with large automorphism groupsLift-independence problem in the $P$-adic Simpson correspondence for curvesA note on Azumaya algebras and one-forms -
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/2026-05-28/
Some Remarks on $\tau$-Congruent NumbersLinnik's problem for multiplicative functions$Q$-difference analogue of the Stothers-Mason theoremGood Integers: (T,k)-Subclasses and Applications to Galois Duality in Coding TheoryMixed thresholds in the Lonely Runner ConjectureTransformation Formulae and Applications for Double Lambert SeriesAdditive Diophantine Equations involving S-Units, Factorials and Ternary Recurrences with repeated rootMetrical theory of signed Engel expansionsA unified proof of conjectures on the spaces of multiple $q$-zeta valuesOn the analytic continuation of the Riemann zeta functionEquidistribution of CM points and RM curvesThe sum-product conjecture is false for real numbersRiemann and the logarithmic derivatives of zetaProofs of Two Positivity Conjectures of GuoBrauer--Manin obstruction from failure of Kodaira vanishing in positive characteristic -
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/2026-05-27/
A note on uniform version of Littlewood inequality and Fibonacci numbersOn planar functions over $\mathbb{F}_{q^3}$Problems in additive number theory, VII: The structure of additive $h$-bases for $n$Connected components of the ranges of twisted divisor functions on number fieldsNotes on congruence zeta functions via a Berkovich approachTowards a generalized Maeda conjecture for modular forms with quadratic nebentypusSaturation and No-Go Theorems for Scalar Poisson Certificates of Gaussian Mass MaximalityLower bounds for the Hausdorff dimension of expressible setsUltra Kolyvagin systems and higher Fitting ideals of Iwasawa Selmer groupsWords for generalized Markov numbersProducts involving the real parts of Jacobi sums and related cyclotomic matricesEkedahl-Oort strata under natural embeddings of orthogonal and unitary Shimura varietiesThe Northcott Property for Composites of Number Fields of Bounded DegreeInhomogeneous Approximation by Sums of RootsThe V/L recursion for Macdonald's 7th Variation Schur polynomialsPrime Certificates for Exact Vertex-Coprime Ramsey NumbersRank-two recurrence results for polynomials and questions of dynamical Mordell--Lang typeA Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$Structural properties and tilting correspondences of perfectoid towers -
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/2026-05-26/
On some arithmetic conditions of recurrent sequences modulo prime pOn the Harris-Viehmann conjecture for Hodge-Newton reducible local Shimura data of abelian typeOn the binary digits of the Erd\H{o}s-Borwein constantThe $\theta = \infty$ Conjecture and the Riemann Hypothesis for Automorphic $L$-functionsCounting Rational Points on Danielewski and Double Danielewski Surfaces over Finite FieldsTribonacci properties of identities, matrices, and determinantsValuation Separation for Coprime Lucas ProductsEquality in a Reverse Minkowski Shell Bound for Integral Lattices via Spherical DesignsSimultaneous Periods for Families of Rational Maps Modulo PrimesHilbert-90 quotient maps, torsion defects, and symmetric monodromyLubin-Tate representations over nontrivial finite Galois extensions of $\mathbb{Q}_{p}$ are not Aut-intrinsically Hodge-TateVariational estimate for the family of discrete averages associated to simplicesThe Frobenius problem for shifted square sequences starting with a multiple of 4A Note on Abelian Monogenic TrinomialsIncidence Obstructions for Power Products in Elliptic Divisibility SequencesBanded quadratic digit functions along irreducible polynomials over finite fieldsA proof of the $4,7$ cases of Sylvester's conjecture on cube sumsBoundary CM points and class groups of small exponentOrbit decomposition statistics for discrete dynamical systems: the Ces\`aro mean and a large deviation principleOn the Maximality, Weierstrass Semigroups, and Automorphism Group of the Curve $Y^{q+1} = X^n(X^n + 1)$The $\Delta$ property: a bridge between split graphs and Number TheoryLattice point counting problems on step-two nilpotent Lie groups -
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/2026-05-25/
The Poisson Tail Conjecture for Primes in Short IntervalsCullen and Woodall numbers in Padovan and Perrin sequencesDistributions of Iwasawa $\lambda$-invariants of $\mathbf{Z}_p$-towers over supersingular isogeny graphsOn modular forms of rational weight satisfying the canonical second-order linear modular differential equationCongruence Classes of Supporting the Erd\"{o}s-Straus Conjecture I: Tame SolutionsComputing Gamma(p/q) with Beta function valuesConcise and elegant proofs of three formulas for complete Bell polynomialsSets of large values of polynomial multi-correlation functionsDefinability via the tilting correspondenceTop-dimensional rational cohomology of the congruence subgroup $\Gamma_{0,n}^+(p)$Balanced intersection size distributions in projective planes -
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/2026-05-22/
On the Natural Density of Monic Integer Polynomials with Roots in a Fixed Number FieldPort Fillings for Primary Pseudoperfect NumbersA generalization of the Erd\H{o}s-Sierpi\'nski conjectureA Matrix-Theoretic Exact Formula for Counting Primes in Intervals Between Consecutive Odd Squares2007: An Arboreal Odyssey: A View of Arboreal Galois Representations and Applications, from Early in the Subject's HistoryEscaping Chaos in Random Multiplicative FunctionsRational dynamics of a prime-representing mapThe reverse Goldbach problem and a refined Zsiflaw--Legeis theoremCoset-refined trace statistics, nodal characters, and affine branches in cubic norm toriA Uniform Random-Lattice Tail Bound for the SVP Kissing-Profile ParameterOn the structure of fine Mordell-Weil groups over a $\mathbb{Z}_p$-extension and its intermediate subextensionsThe distribution of semi-integral points on a class of singular cubic hypersurfacesA quick distributional way to reproduce some results of the Riemann zeta functionA Complete Characterization of Heron Triangles with Two Perfect Square Sides and the All-Square Equivalence ConditionArboreal Galois Groups of a PCF Map with Strictly Pre-periodic Critical PointsRethinking the work of Langlands on Eisenstein seriesLines in the prime number graphBell Transforms of Arithmetic Functions: Euler Products, Congruences, and Polynomial SequencesBases of associated Galois modules in general wildly ramified extensions and in elementary abelian extensions of degree $p^2$From Hilbert's Tenth Problem to Quantum Speedup: Explicit Oracles for Bounded Diophantine SystemsGraphs from quadratic forms and vector spaces over finite fieldsClosed geodesics in short intervals for random hyperbolic surfaces -
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/2026-05-21/
High-Precision Approximation of Riemann Zeros via the Truncated Weil FormEigenvalue Distribution of $p$-adic Random Matrices Among Algebraic Extensions, with an Analogue for $p$-adic Random PolynomialsBounded-box reductions in the Subbarao-Warren problem for unitary perfect numbersOn discrepancy estimates for pseudorandom vectors constructed by the elliptic curve congruential generatorLimiting Distribution and Rate of Convergence for GL(3) Fourier CoefficientsBeyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 4: contribution of non-elliptic partsGeneralized Fermat equation over cyclotomic $\mathbb{Z}_l$-extensions of totally real fieldsPrecise Asymptotics and Exact Formulas for Tensor Product Energies of Fibonacci LatticesA Local Valuation Criterion for Quadratic-Permutation Interleaved Zadoff--Chu SequencesQuasiautomorphic forms are isomorphic to vector-valued automorphic formsOn a conjecture of Amdeberhan, Andrews and Ballantine for double Lambert seriesBinomial coefficients with divisors avoiding an intervalAn Improved Upper Bound for the Dirichlet Spectrum in Diophantine ApproximationArithmetic Properties of Overcolored Odd PartitionsSharp omega results for the divisor and circle problemsManin's conjecture for semi-integral curves and $\mathbb A^1$-connectednessMeasuring Decidability as Related to Busy Beaver NumbersExtensionalism without Logicism: Ambrose and Extensional LogicAn explicit lower bound for the unit distance problemThe pro-\'etale fundamental group of singular schemesRemarks on the disproof of the unit distance conjectureA strange continued fraction associated with the Romik map -
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/2026-05-20/
The generalized Montgomery-Hooley formula: A surveyShort Salem polynomialsFibonacci Numbers and Vieta Jumping for a Rational Diophantine EquationHal\'asz theorems for Gaussian ideals in sectors and short intervalsOn nonconvex constellations among primes II: (458,3240)A formula of counting divisors in integers rings: a generalization of the divisor function $d_0(n)$On optimal $p$-adic uniformization of unitary Shimura curvesA Determinant Congruence Conjectured by SunSun-type determinant and permanent congruencesTwo determinant evaluations in Sun's conjectures involving Legendre symbolsOn the Goldbach problem with restricted primesThe inhomogeneous Khintchine Theorem in dimension twoSplit-prime supercongruence at the mixed CM point (1/6, 1/3; 1)A Fourier-Free Density-Increment Proof of Roth's TheoremMotivic Galois theory for one-loop Feynman integrals in momentum space -
arXiv math.NTの新着論文28本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-19/
Boundary Value Problems on $p$-Adic Analytic ManifoldsFactorization of Additive Polynomials and van der Geer--van der Vlugt curves in characteristic 2Explicit Formulas for the Casimir Eigenvalues of $SL(n,\mathbb{Z})$-Maass FormsOne-level densities of large even and odd orthogonal families of automorphic L-functionsGaps of Binary Numerical Semigroups and of Binary Inclusion-Exclusion PolynomialsCounterexamples to integer-coefficient criteria for recurrence along functions from a Hardy fieldA Degree-Two Hilbert--P\'olya Realisation by Causal Riemann-Surface OperatorsOn the finite transcendence of Frobenius traces for abelian varieties over $\mathbb{Q}$Multiplicative independence in the sequence of $k$-generalized Pell numbersLinear independence of periods related to polylogarithmsAn update on the Linnik--Goldbach and Romanov problemsNon-admissibility of some universal supersingular representationsA note on the $q$-adic valuation of $\sigma_k(n)$Decay of weighted cusp counts for congruence subgroups of $SL_2$ over number fieldsOn some constancy of Hecke eigensystems for Drinfeld cuspforms of level $\Gamma_1(\mathfrak{n}\wp^r)$On the Periods of Ikeda-Yamana Lift for the Unitary Group ISum of consecutive powers as a perfect powerClassicality of Hilbert modular formsThree Brillhart-Lehmer-Selfridge primality proofs for Wagstaff numbersCovering systems where the prime divisors of all moduli are only $2$, $3$, or $5$Linear equations in Piatetski-Shapiro primesEpstein vector zeta functions related to the ADE Lie algebrasn-ary elliptic groups, rings, and primes in arithmetic progressionsModule Lattice Security (Part III): Structured CVP Distance on the Log-Unit LatticeRationality problem for norm one tori of tensor products of \'etale algebras and Hasse norm principleExplicit cost analysis of Toom-4 multiplication for incomplete NTT in lattice-based cryptographyIterative maps emerging from cohomological structure of primesGenus formulas for dormant modular curves and asymptotic behavior of their function fields - Show more
