プレプリどんどん: math.NT

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/2026-07-10/ Infinite families of Diophantine quadruples in $\mathbb{Z}[\sqrt{-2}]$ in the remaining exceptional congruence classes Non-orthogonality of the cubic and quartic large sieves via Rankin-Selberg Elliptic curves, Fourier ratio, and sampling complexity On an inhomogeneous unifo...

arXiv math. NTの新着論文26本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-09/ A problem of D. H. Lehmer in short intervals. II Continued Fractions of Polynomial Type: Theory and Encyclopedic Dictionary Four squares from three real polynomials Normal numbers in sparse Cantor sets Schwarz maps for modular curves $p$-adic Hahn series with sparse support...

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/2026-07-08/ A weaker but simpler sieve inequality Integer values of $\tan(\arctan 1+\arctan 2+\cdots+\arctan n)$ are rare An Explicit Expression for MZVs in Terms of Symmetric MZVs Large Sets of Integers with No Harmonic Triples Correlations of zeros of a family of $L$-functions in func...

arXiv math. NTの新着論文54本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-07/ Recovering Kodaira types from $\ell$-torsion on elliptic curves $(a,a)$-Carmichael numbers and greatest common divisors of $p-a$ $p$-adic rigidity for $\mathrm{GSp}_4$ A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form A Mackey...

arXiv math. NTの新着論文20本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-03/ Utilizing Smoothing Techniques to Bound $|\zeta(1+it)|$ Necessary and sufficient conditions on the order of a finite field $\mathbb{F}_q$ for the easy identification of primitive polynomials of degree 2 Formalized $q$-series: The Rogers-Ramanujan Identities and Beyond A Pfaf...

arXiv math. NTの新着論文16本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-02/ Finiteness for \'{E}tale Fundamental Groups of N\'{e}ron Models Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions Functional Equations Characterize Dirichlet Characters Character sums over smooth numbe...

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/2026-07-01/ Power-integral matrices over number fields: the Drazin inverse, pseudo-determinant, and numerical semigroups On the exponential Diophantine equation $(a^n+1)(b^n+1)=x^2$ Several classes of permutation pentanomials Some new congruences and identities for $SOME(n)$, $DSOME(n)$...

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...