プレプリどんどん: math.NT

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...

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/2026-04-29/ Elementary anabelian varieties are anabelian Ramanujan, the taxicab problem for polynomials, and the abc-conjecture Linear recurrences and rational Lambert series Trilinear Kloosterman fractions I: partially fixed moduli and unbalanced convolutions Reciprocity and the Maslov...

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/2026-04-28/ Lattice point visibility along powers of polynomials On the integrality of modular functions over $\mathbb{Z}[j]$ and Kronecker-type congruences A Proof of Bala's General-$m$ Representation of the Harmonic Numbers Core abaci and Diophantine equations I: fundamental weight Hy...

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/2026-04-27/ A link between error terms when counting smooth and rough numbers The exceptional set for Diophantine inequality with mixed powers of primes Exceptional poles of archimedean Rankin-Selberg L-functions for principal series representations of GL(n,R) On a new modular equation...

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/2026-04-24/ On the reciprocity law in $\mathbb{F}_{q}[t]$ Extremal Problems for GCDs and LCMs in Higher Dimensions Relations between higher level Hurwitz class numbers Moments and joint nonvanishing of symplectic $L$-functions Consecutive non-square nom-primitive pairs in as finite fiel...

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/2026-04-23/ Explicit density computations for certain sets of primes in Lucas sequences On Uniqueness of Mock Theta Functions Minimal $a$-numbers of Artin--Schreier covers of ordinary curves Root numbers for twisted Fermat quotient curves II On the $I(1)$-invariants: Non-abelian Hecke a...

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/2026-04-22/ Optimal Shifting Method in Dirichlet's divisor problem Characterizing monogenic trinomials $\boldsymbol{x^{12}+ax^6+b}$ according to their Galois groups Algebraic numbers and Fourier analysis: Salem's third problem Sums of Hecke eigenvalues along polynomial sequences and bas...

arXiv math. NTの新着論文30本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-21/ M\"obius disjointness conjecture for Furstenberg's flow on $\mathbb{T}^\omega$ in short intervals Reduction mod $p$ of semi-stable representations of some super-Breuil weights Geometry-of-numbers methods over global fields II: Coregular representations On Regular Higher Powe...