プレプリどんどん: math.NT

arXiv math. NTの新着論文47本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-06-30/ Classification of Boolean Cubic Forms in Ten Variables On Brocard's problem with Padovan and Perrin numbers Riesz Means of Quadratic Class Numbers To be or not to be local On Carmichael numbers of the form $2^np^m+1$ On the Monotonicity of Higher-Fold Representation Function...

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/2026-06-29/ Sharp Bounds for Moments of the Dedekind Zeta Function Cohomological Obstructions for Varieties over $p$-adic Function Fields Separable integer partition classes and Slater's list -- II On Franke's theorem in the simplest case Large common values of generalized Ankeny-Brauer...

arXiv math. NTの新着論文21本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-06-26/ Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $\mathbb{F}_q[t]$ Rank-Two Drinfeld Module over Elliptic Curves Computating decomposition groups and inertia groups using Newton polygons Deterministic and Efficient Ideal Arithmeti...

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 Spheres Binary Trees and Sum of Two Squares Positive dyadic density for rational weighted binary expansions Nonsimilar half-neighbors over fields of characteristic 2 Divisibility Biases in the Orders of Elliptic Curve Reductions Negative d...

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 II A Regularised Wallis Hierarchy On Zeckendorf-Niven numbers and arithmetic progressions Elements in $K_4$ and regulator maps of Fermat curves Zeta-regularization and natural boundaries: Sums and products of integers a...

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 Numbers Differential Addition on Twisted Edwards Curves Differential addition on Jacobi quartic Curves Computing the Greatest Common Divisor of Binomial Coefficients $\binom{mn}{mk}$ Duke for Drin...

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 sets Consecutive integers free of certain prime factors A note on equidistribution on a product of Shimura curves and Andr\'e--Oort Symmetric square $L$-functions on $\mathrm{GL}_3$ Maximal Arboreal Galois Images for Polynomials of Twisted Carlitz...

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 characteristic Modular Heights of Unitary Shimura Varieties II: Arithmetic Generating Series of Divisors Structured lattic...

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+\pi Arithmetic Properties Satisfied by a Recent Integer Partition Function of Dombos A combinatorial large sieve for Sidon sets, distances, and norm forms Computing Hyperfibonac...

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 Matrices Power and rank-weighted sums in dense finite Sidon sets Rational 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 fractions On concatenations...

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 supersingularity Secondary terms for first moments of Selmer groups of twists of elliptic curves over global function fields Residue Restrictions for a Two-Color Partition Series Almost perfect inhomogeneous powers in a...

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$\sigma(n)$}, III Root Clusters and Multiclusters over Imperfect Hilbertian Fields An AI Proof of 18-Variable Undecidability for Diophantine Equations over $\ma...

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 Reciprocity Multivariate Period Rings The p-adic Cauchy Theorem and Overconvergent Period Sheaves Proofs of two $q$-congruence conjectures of Guo Modular variants of p-adic fundamental sequence Capparelli's partition theorem as part...

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 conductor A generic categorical local Langlands correspondence for quasi-split reductive groups A Tsang-range high-moment bound for $\operatorname{Im}\log L(\tfrac12+it,\chi)$ under GRH Prime Quadru...

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 Solutions Explicit bounds for Dickman's function Weighted Recursions for the Smallest Parts Function Minkowski shapes of pure number fields On the sequence $\mathrm{gcd}(a^n-1,b^n-1)$ Monogenity of Fibonacci polynomials and L...

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 Products Tamagawa number formula for Jacobians A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patterns Note on the Equivalence of Costas Polynomials and Orthomorp...

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 Conjecture The Case of the Second Smallest Modulus: or why we cannot be arbitrarily careless? Hasse-Weil Zeta Functions Modulo a Prime On explicit Fourier expansions...

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 Transforms Weighted Recursions for Hurwitz Class Numbers Digit frequencies and class numbers An Explicit Surjectivity Threshold for Digit Sums of Primes Representations of positive integers by three almost-prime s...

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 Denominators A Fibonacci theorem for Collatz trajectories via modular graph structure Generalized polygonal number representations Explicit generators of the space of modular forms On the Schematic and Analytic Construction...

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 curves On $\mathbb{Z}_2$-extensions of real quadratic fields Prescribed realisation of longest runs in continued fractions Polylogarithmic Analogues of Euler's Constant On the $P(t)$-adic Littlewood conjecture in odd...

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 domains On the density of rational lines on diagonal cubic hypersurfaces, II Transcendence and measures via the refined Diophantine exponent An Improvement of Konstantoulas' Density Constant Perfect powers among J...

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-Eight Asymptotic formulas for sums of elements from a multiplicative group On a conjecture of Goldmakher Mersenne numbers and the doubling map Weierstrass semigroups at totally ramified places of degree on...

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 Numbers Linnik's problem for multiplicative functions $Q$-difference analogue of the Stothers-Mason theorem Good Integers: (T,k)-Subclasses and Applications to Galois Duality in Coding Theory Mixed thresholds in the Lonely Runner Conjecture T...

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 numbers On 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...

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 p On the Harris-Viehmann conjecture for Hodge-Newton reducible local Shimura data of abelian type On the binary digits of the Erd\H{o}s-Borwein constant The $\theta = \infty$ Conjecture and the Riemann Hypothe...