プレプリどんどん: math.NT

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/2026-10-16/ 86 unknowns for Hilbert's tenth problem over the rationals Mixed moment and joint non-vanishing of $\mathrm{GL}(3)\times\mathrm{GL}(1)$ and $\mathrm{GL}(1)$ $L$-functions Ehrhart Polynomials of Triangles in $\mathbb{R}^3$ On the Diophantine equation $X^2+p^m=p_1^{n_1}p_2^{n_...

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/2026-10-15/ On digit-appending walks along linear recurrences Large value estimates for Dirichlet polynomials and trilinear sums over short intervals Orthogonality relation between $GL(3)$ coefficients and additive characters with linear and non-linear phases Some Bounds on the Lehmer I...

arXiv math. NTの新着論文117本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-14/ Counting quaternion extensions by multi-heights Geometric bounds on norms of signed indecomposable integers Wendt's determinant and finiteness of prime characteristics for permutation binomials Linking numbers and special differential characters in arithmetic hyperbolic man...

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/2026-10-12/ On $m$-fullness in number fields Properness of the Cuspidal Hilbert Eigenvariety A cyclotomic gluing construction for lattice sphere packings Hankel Matrix Decompositions and Digital Sequences over Function Fields Polynomial parametrization of $\text{SL}_2$ over global funct...

arXiv math. NTの新着論文52本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-09/ The Integer Values of $\sum_{i=1}^{n}\frac{1}{\gcd(n,i)}$ The structure of irreducible cuspidal eta quotients Logarithmic moments of the Rogers Ramanujan continued fraction and odd zeta values Multiplicity Constants for Rough Numbers in Prime Gaps Finite-radius Jensen and re...

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/2026-10-08/ Mean Estimates for Short Polynomial Exponential Sums over Primes Consecutive Cycle Sums More than 83.9% of the zeros of the Riemann zeta function are distinct and more than 67.35% are simple and on the critical line Automorphisms of general modular curves Affine Coordinate S...

arXiv math. NTの新着論文31本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-07/ Densities of Picard Rank Jumps for K3 Surfaces Over Global Fields CUDA-MPQS: A GPU-Resident Self-Initializing Quadratic Sieve, and the Factorization of RSA-155 On the class number of real multiquadratic fields The One-Power Erd\H{o}s Conjecture for Primes $p \equiv 7 \pmod{3...

arXiv math. NTの新着論文55本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-06/ The Riemann-Siegel remainder as a fractional summand Gaps, isolated points, and the origin of the ray in the one-dimensional Dirichlet spectrum Exponential generating functions for Apostol-Dedekind and related sums Nonvanishing of special $L$-values of cusp forms on $\mathrm...

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/2026-10-05/ Arithmetic growth in partially commutative semigroups of endomorphisms The proportion of polynomials over F_2 with positive orthogonal multiplicity Shimura Reciprocity for Real Quadratic Fields Counterexamples for Rational Points Near Curves The Prime Wavelet Tree: Compressi...

arXiv math. NTの新着論文35本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-02/ Two-Line Elimination and the Weierstrass Group Law in Arbitrary Characteristic PageRank on Lubotzky--Phillips--Sarnak graphs Some Methods to Solve the Diophantine Equation ay^2=b(x^k-c^k) An explicit family of twists of the Carlitz module with unbounded analytic rank New bou...

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/2026-10-01/ A Romanoff-type theorem for a multiset of products of powers Strong Artin Conjecture for Generalized Octahedral Representations in $\mathrm{GL}_3$ Large gaps between Romanoff numbers Euclidean Triangles Associated with Diophantine $D(4)$-triples Zeta elements for $p$-ordinar...

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/2026-09-30/ Proofs of some conjectures by Bringmann, Han, Heim, and Kane on periodic sign changes in eta-quotients Primes in arithmetic progressions and Siegel zeroes p-adic Rigidity and Supercongruences at Rank Two Attractors Strongly Pseudoperfect Numbers A $q$-analogue of a binomial...

arXiv math. NTの新着論文67本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-29/ Tamagawa numbers and torsion of elliptic curves over function fields Efficient Computation and Congruences for Colored Partition Functions Quasimodular Forms, Partitions, and Primes in Intervals Conductors and Quadratic base change Factorizations in algebraic monogenic semid...

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/2026-09-28/ A Congruence Conjecture of Z.-W. Sun for Reciprocal Central Binomial Sums Supercharacter theory and applications to Ramanujan sums over a finite Frobenius ring On the Langlands--Kottwitz--Scholze method Congruence obstructions in the refined Koblitz conjecture Local Weak Maa...

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/2026-09-25/ Rank-two Nahm sums, modularity obstructions, and the McKay--Thompson series $T_{31A}$ Noncongruence cusp forms, Veech groups and enumeration Effective logarithmic two-point Chowla bounds in every window Permutation binomials of the form $X^r(X^{q-1}+a)$ over finite fields St...

arXiv math. NTの新着論文41本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-24/ A new upper bound for the irrationality exponent of zeta(3) The Primitive Generalized Fermat Equation x^3+y^5=z^7: A computer-assisted proof Galois-Orbit Structure, Ramanujan Sums, and Stable-Range Collapse for Cyclotomic Cosine Formulas $A_2$-frames, negacyclic glue, and ex...

arXiv math. NTの新着論文45本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-23/ Infinitely Many Binomial Coefficients of Deficiency One Carmichael numbers of the form $2^n p^m+1$ with odd exponent $m$: refinements of a theorem of Florian Luca, a general independence lemma, and a computational study An Integral Representation of the Generalized Fibonacci...

arXiv math. NTの新着論文62本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-22/ Superpolynomially Large Support in Every Irreducible Factor of Lacunary Polynomials Iwasawa theory of class field towers A quadratic-residue dichotomy for two partition functions modulo 3 On periods of the Tribonacci sequence modulo primes Monogenic Fields of Cryptographic S...

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/2026-09-21/ On permutation-invariant construction of glued lattices Extreme value laws for intrinsic Diophantine approximation on spheres Eigenvectors of $p$-Curvature for Geometric Difference Equations Galois deformation rings and modularity in the residually reducible case On The Cycl...

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/2026-09-18/ Asymptotic counting of integers with prime factors $p_{r^a s^b}$ Endoscopic description of the local Langlands correspondence for $\mathrm{G}_2$ A uniform proof approach for congruences modulo 3 for partitions with $k$-colored odd parts A new family of maximal curves not cov...

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/2026-09-17/ Distinct Consecutive Products Transcendence measure for the values of the logarithmic derivative of the Bessel function $J_0$ at algebraic arguments Lattice points close to a smooth curve and squarefull numbers in short intervals. II Effective Hecke eigenvalue equidistributi...

arXiv math. NTの新着論文38本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-16/ The Waring-Goldbach problem in short intervals under the Generalized Riemann Hypothesis Mean Lindel\"of Hypothesis and Prime Geodesic Theorem on Bianchi Manifolds A formula for the rank over $\mathbb{Q}(t)$ of the elliptic curve $y^2=x^3+At^6+Bt^3+C$ Number fields as curves...

arXiv math. NTの新着論文69本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-15/ The Strong 24-Conjecture Theta functions after Weil Dynamical uniform boundedness for unicritical polynomials and elliptic curves of large rank Arithmetic Siegel-Weil for the spherical Hecke algebra Galois representations and modularity for twisted moments of Kloosterman sum...

arXiv math. NTの新着論文25本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-14/ An adelic approach to the Kudla-Millson lifts over totally real number fields Local-global principles for visibility of lattice points on parameterized curves On the variation of slopes over moduli stacks of Galois representations Critical convergence and Hausdorff measures...

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/2026-09-11/ A New Sparse Algorithm for Polynomial GCD over Integers Sums of distinct divisors of factorials Ordinary 3-Isogeny Graphs and Improvement of Supersingularity Testing for Twisted Hessian Curves over Prime Fields Effective estimates for exponential sums with multiplicative coe...