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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/2026-06-25/
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 coefficients of power series expansion of $\prod_{n=0}^{\infty}(1-x^{2^{n}})^m$Number Fields with Arbitrarily Large Minimal IndexA resolution of Erd\H{o}s Problem 1061 on the sum-of-divisors functionProofs of four conjectural identities on modular rank four Nahm sumsChebotarev geodesic theorem: split caseEvery Nonnegative Integer Is a Sum of a Triangular, a Pentagonal, and a Heptagonal NumberPotential semistability of Finite height Galois representations: Relative caseOn $k$-color mex-related partition functionsExtensions of maximal symplectic groups acting on the superspecial K3 surface in characteristic $p$ -
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/2026-06-24/
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 Goncharov Lie coalgebra of a fieldTractability versus curse of dimensionality for geometric $L_p$-discrepanciesBialgebraic geometry of B\"ottcher coordinates -
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arXiv math.NTの新着論文33本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-06-23/
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 fractional transformationsOn finiteness properties of the unramified Iwasawa module of a $\mathbb{Z}_p$-extension with restricted ramificationEichler-Selberg relations for the third-order mock theta functionsA Proof of a Conjecture of Zhi-Wei Sun on a Truncated Legendre-Symbol DeterminantLevel Totients for Integer MosaicsFaster enumeration of primesA Greatest Common Divisor Criterion of Certain Binomial CoefficientsA first-exit proof of Cusick's sum-of-digits conjectureThe Brocard Problem: Structural Invariants, p-Adic Density, and the Generative SievePrime-Power Rarefaction and a Density-One Lower Bound for Erd\H{o}s Problem 400Rank Amplification for Shifted Equal Values of Euler's Totient FunctionOn Braverman-Kazhdan's asymptotic Hecke algebra for inner forms of $\mathrm{GL}_n$Global Extrema of the Zeta Regularized Determinant on Orthogonal Flat ToriBounded elementary generation of SL_2: nearly the endPanmagic permutations and N-ary groupsOgus's conjecture on F-isocrystalsA bilinear approach to the finite field restriction problem, IIBianchi groups and automorphisms of rank-four $K3$ surfacesThe natural extension of the $(-\beta)$-transformationBetti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$Codimensions one and two cohomology of Hecke congruence subgroupsHow Stark units enter SIC overlaps -
arXiv math.NTの新着論文9本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-06-19/
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 criteria for $NL = (NL)^{pi}(NL)^{sep}$ -
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/2026-06-18/
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 ApproachSecretary Problem Thresholds and Convergents of $1/e$ -
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/2026-06-17/
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 interpretation of Riemann zeta zerosSpectral Intertwining OperatorsSingle-valued polylogarithms for higher generaPerturbed Polynomial Powers and Bourgain Entropy Obstructions for Khintchin Averages -
arXiv math.NTの新着論文32本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-06-16/
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 Functional Equation for the Symmetric-Square L-FunctionSquare-root cancellation for sums of coefficients of $\operatorname{GL}(m)$-automorphic forms over values of random polynomialsA parametric family of primes p = km(m+1) + e + 2kq: heuristic laws, conditional theorems, and unconditional primality certificatesOn periodic sign changes for weighted representations of integers as colored sums of triangular and generalized pentagonal numbersThakur's hypotheses on power sums of $\mathbb{F}_q[t]$Indivisibility of ray class groups of real quadratic fieldsTwo $q$-congruences from Jackson's ${}_8\phi_7$ summation and Andrews' ${}_4\phi_3$ summationThe difference of the sums of odd and even parts of restricted partitionsObstructions and kernel transport for Hecke lifts of partition q-bracketsDivided differences and complex variations of multiple zeta-star valuesGeneralized Bell polynomial operators arising from generalized normal orderingQuantitative Oppenheim Conjecture for Random Quadratic Forms and Optimal Variance Bounds in Function FieldsA counterexample to the near-quadratic Elekes--R\'onyai expander conjecture over $\mathbb R$Footnote to a theorem of Phagan on actions of a cyclic groupOn the classification of indecomposable Ekedahl-Oort strata in unitary Shimura varieties, and related Newton polygonsTransformers Learn the Mestre-Nagao HeuristicThe distribution of the de Moivre experimentDominant Zeros of Nekrasov--Okounkov PolynomialsDual Affine Spiral Orbits on $\mathbb{Z}^2$ Generated by Paired Unit SquaresNon-Archimedean balanced metrics and their application to totally degenerate abelian varietiesTorsors of Generalized del Pezzo Tori and Brauer GroupsAn Asymmetric Formula for Interval Consonance and its Relation to Harmonic CoincidenceThe Grothendieck-Katz Conjecture for privileged local systems -
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) -
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 - Visa fler
