プレプリどんどん: math.NT

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...

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 Intervals Cullen and Woodall numbers in Padovan and Perrin sequences Distributions of Iwasawa $\lambda$-invariants of $\mathbf{Z}_p$-towers over supersingular isogeny graphs On modular forms of rational weight satisfying the ca...

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 Field Port Fillings for Primary Pseudoperfect Numbers A generalization of the Erd\H{o}s-Sierpi\'nski conjecture A Matrix-Theoretic Exact Formula for Counting Primes in Intervals Between Consecut...

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 Form Eigenvalue Distribution of $p$-adic Random Matrices Among Algebraic Extensions, with an Analogue for $p$-adic Random Polynomials Bounded-box reductions in the Subbarao-Warren problem for unitary perfec...

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 survey Short Salem polynomials Fibonacci Numbers and Vieta Jumping for a Rational Diophantine Equation Hal\'asz theorems for Gaussian ideals in sectors and short intervals On nonconvex constellations among primes II: (458,3240) A...

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 Manifolds Factorization of Additive Polynomials and van der Geer--van der Vlugt curves in characteristic 2 Explicit Formulas for the Casimir Eigenvalues of $SL(n,\mathbb{Z})$-Maass Forms One-level densities of large even and odd o...

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/2026-05-18/ Improvements to Jacobian Arithmetic in Global Function Fields Counting solutions to the quadratic determinant equation Explicitly combing hedgehogs over fields of Stufe 4 On the Face Map of the Admissible Set With Iwahori Level Bailey pairs, Eichler integrals and unified Wit...

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/2026-05-15/ A Generalized Closed Form of Ramanujan-Type Fourier Cosine Transform via Meijer's G-Function Parity vectors and paradoxical sequences in the accelerated Collatz map Local certification of residual squareclasses in $\mathbb Q(\sqrt{2},\sqrt{pq},\sqrt{ps})$: one-bit, affine, 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/2026-05-14/ A connection between low-lying zeros and central values of $L$-functions Componentwise height bounds for polynomial value-set lifting Wieferich Primes and Monogenic Trinomials On Galois Embedding Problems Arising from 3-Torsion of Elliptic Curves Large values of shifted mixe...

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/2026-05-13/ The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_2$ of some elliptic curves Two dimensional arithmetic progressions avoiding squares Explicit determination of a class of permutation rational functions in any characteristic Bigness of Canonical Quad...

arXiv math. NTの新着論文29本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-12/ Frequency Ordered Ratio Families Arising from the Factorization of $p_{m-1}+1$ A Complete Answer to Erd\H{o}s Problem 690 Rational Base Descent: A Deterministic Algorithm for Factoring Structured Semiprimes Some Omega results for Dirichlet $L$-functions Multiple integral rep...

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/2026-05-11/ Three-term arithmetic progressions of consecutive powerful numbers On almost primes solutions to forms of odd degrees in many variables Poissonian correlations of $\alpha n^d$ mod $1$ Anderson generating function of rank-one Drinfeld Module over rational function fields A De...

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/2026-05-08/ A Structure Sheaf for Kirch Topology Multiple modular L-functions and modular iterated integrals Rankin--Selberg coefficients in arithmetic progressions modulo prime powers The quotient problem for linear recurrence sequences Evaluation of eight different families of cubic E...

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/2026-05-07/ A new perspective on the rank of Mazur's Eisenstein Hecke algebra Special periods and some non-tempered cases of the Gan-Gross-Prasad conjecture Rational orbits under correspondences Thin subbases of Piatetski-Shapiro sequences Fixed-point lifting and ghost periodic points f...

arXiv math. NTの新着論文17本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-06/ Sign changes of the Liouville function in arithmetic progressions Monogenity of pure quintic fields: the power of sieving Behaviour of Certain Crystalline Representations modulo $2$ Infinitesimal characters for the completed cohomology of $\mathrm{GL}_n$ over CM fields Lectu...

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/2026-05-05/ Monogenic Fields from Polynomial Compositions with Applications Sets of integers satisfying Bateman-Horn statistics Bowen--Franks groups and minus class groups of cyclotomic number fields with prime conductor A logarithmic structure theorem for multiplicative functions with...

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/2026-05-04/ The cardinality of a set containing the pairwise sums of a fixed number of integers Primitive sets and von Mangoldt chains: Erd\H{o}s Problem #1196 and beyond Effective multi-equidistribution for translates of unipotent flows and Central limit theorems in inhomogeneous Dioph...

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/2026-05-01/ An $O_K$-basis for the image of a Lubin-Tate logarithm on $\pi$-regular extensions of $K$ Mod p Monodromy of Cyclic Covers of the Projective Line Simple Lie Groups of type An as Galois groups over Q On the difference between perfect powers and integral $S$-units An improved...

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/2026-04-30/ Estimating the tail of the singular product in the multivariate Bateman-Horn conjecture Combinatorial sums derived from properties of Legendre polynomials Monsky Matrix and 2-Selmer rank The $p$-powers dividing certain exponential sums Solution to the Erdos problem on distin...