プレプリどんどん: math.NT

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...

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/2026-04-20/ Non-standard Zeckendorf decompositions; or, Tribonacci within Fibonacci Gaussian Behavior and Geometric Gaps in Decompositions from Recurrences with Zero Coefficients Extremal densities for forbidden configurations in $S$-smooth numbers Belyi map verification using certified...

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/2026-04-17/ The level-8 Apery-limit and a proof of the Ramanujan Machine conjecture Z1 Arithmetic functions and learning theory Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory On the Number of Prime Factors of...

arXiv math. NTの新着論文5本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-16/ Representation of Ramanujan's tau function by twisted divisor functions A proof of $p$-adic Gross--Zagier theorem via BDP formula Fourier Dimension in Duffin--Schaeffer Conjecture Distribution modulo one of linear recurrent sequences $p$-adic Linear Regression for Random Samp...

arXiv math. NTの新着論文8本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-15/ Simultaneous non-vanishing of Dirichlet L-functions On the $K$-extensions between Serre weights for unramified $\mathrm{GL}_3$ The $p$-adic monodromy theorem over algebraic-affinoid algebras Multivariable automatic arrays and transcendence Solubility for families of norm equa...

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/2026-04-14/ Order-3 pi-formulas, Apery-like kernels, and Clausen functoriality for Conservative Matrix Fields A comment on the equation $n!!=a_1!!\cdots a_t!!$ A formal proof of the Ramanujan--Nagell theorem in Lean 4 Low moments of random multiplicative functions twisted by Fourier coe...

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/2026-04-13/ Galois theory for finite fields Seven squares from three numbers Dedekind zeta functions of non-Galois torsion fields of elliptic curves A Dynamical Lifting Problem For Additive Polynomials Values of algebraic functions at Liouville numbers Identities and transformations for...

arXiv math. NTの新着論文8本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-10/ On Lower Bounds for sums of Fourier Coefficients of Twist-Inequivalent Newforms Universal sums of generalized polygonal numbers of almost prime length Proofs for Andrews' Conjectures 5 and 6 on $v_1(q)$ A Liouville-Type Inequality for Values of Mahler M-Functions Resurgence o...

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/2026-04-09/ On a perturbed Hofstadter $Q$-recursion Order drop, Hecke descent, and a mod $p^4$ supercongruence for symmetric-cube hypergeometric coefficients The Domb Ap'ery-limit and a proof of the Ramanujan Machine conjecture Z2 On the Double Lambert Series Conjecture of Andrews-Dixit...

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/2026-04-08/ Asymptotic distribution of CM points on the reduction of the Drinfeld modular curve On Elliptic Sequences over Commutative Rings A statistical investigation of a divisor-sum function Matchable numbers Proof of a conjecture of Banerjee,Bringmann and Bachraoui on infinite fami...

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/2026-04-07/ Series for $1/\pi$ arising from Cauchy product Multiple Gauss sums On $u$-Multiple Zeta Values in Positive Characteristic On higher dimensional integrality and multiplicative dependence in semigroup algebraic dynamics Arithmetic volume of Shtukas and Langlands duality Relati...

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/2026-04-06/ General formulas for a class of Euler sums Almost Golomb Sequences Higher Order Dualities over Global Function Fields and Weighted M\"{o}bius Sums over $\mathbb{F}_q{[T]}$ On a Conjecture about Sums Involving Farey Fractions Mixed character sums modulo prime powers Explicit...

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/2026-04-03/ The relativistic $p$-adic sunscreen conjecture On Series Involving Cubed Catalan Numbers Non-vanishing for quartic Hecke $L$-functions and ranks of elliptic curves On algebraic independence of three p-adic continued fractions On finite analogues of Dobi\'{n}ski's formula and...

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/2026-04-02/ Supersingular isogeny graphs and Hecke modules with level structure The Lang-Trotter conjecture on average for genus-$2$ curves with $S_3$ reduced automorphism group One-loop $p$-adic string theory and the N\'eron local height function Solutions of Calabi-Yau Differential Ope...

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/2026-04-01/ Truncated Plethystic Exponentials Preserve Power Sum Constraints On Eisenstein series identities and new identities connecting Ramanujan-G\"ollnitz-Gordon continued fraction and Ramanujan's continued fraction of order four On non-Archimedean and motivic distributions defined...

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/2026-03-31/ A categorical p-adic Langlands correspondence for GL_2(Q_p) Tempered vs generic automorphic functions and the canonical filtration on automorphic functions Asymptotic Universal Koszulity in Galois Cohomology Improved Bounds for 3-Progressions A note on the multiple zeta func...

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/2026-03-30/ On bilinear sums with modular square roots and applications III On nonconvex constellations among primes I Examples of Quadratic Polynomials over $\mathbb{Q}$ with Surjective Arboreal Galois Representations Surviving Eratosthenes sieve I: quadratic density and Legendre's con...

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/2026-03-27/ On $\frac{1}{n!}$ in Cantor sets 2- and 3-Dissections of Second-, Sixth-, and Eighth-Order Mock Theta Functions On the Density of Coprime Reductions of Elliptic Curves Igusa Stacks and the Cohomology of Shimura Varieties II Arithmetic exceptionality of Latt\`{e}s maps Weak a...

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/2026-03-26/ Period integrals of distinguished polarised strongly tempered hyperspherical varieties Notes on Cyclotomic Function Fields with Quadratic Modulus On Selmer complexes, Stark systems and derived $p$-adic heights The average number of representations of an integer as a sum of t...