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代数幾何と算術的構造の解析 - 2026/10/15の論文39本
プレプリどんどん: math.NT · 15 октября 2026 г. · 1 ч 18 мин
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 Index Elliptic curves attached to Jacobians with imaginary multiplication A new way integral for the $n$-fold cover of $SL_2$ An algebro-geometric approach to profinite iterated monodromy groups A Bounded-Defect Construction for the Mondrian Art Problem Reductions of Galois representations of slope $2$ Zero-cycles and Brauer groups on certain Enriques surfaces Ternary polynomial relations and periods of cusp forms Shapes of tame abelian number fields A folklore conjecture on multiplicative exponential sums Arithmetic Visibility in Polygons: Curved Sight in the Art Gallery On a problem on partitions into distinct primes The Density and Quantitative Upper Bound of Integers Not Expressible as the Sum of a Prime and a Zumkeller Number On the Erd\H{o}s--Odlyzko--S\'ark\"ozy conjecture for prime-power moduli Divisibility Estimates for Gaussian Norms and Almost-Prime Orders of a CM Elliptic Curve Primes between 8th powers? Conguences for Odd Unimodal Sequences and a Problem of Bringmann And Lovejoy Integral Specializations of Polynomials: Hilbert Irreducibility, Coprimality, and Density New bounds for $\mathrm{GL}(3)\times\mathrm{GL}(2)$ shifted convolution sums Genus character $L$-functions of orders in quadratic function fields On the Hardy--Littlewood--Chowla conjecture An upper bound for valuations of elliptic nets at primes of bad reduction Quantitative lower bound for Pythagorean pairs in boxes of prime powers S-squareful values of binary quadratic forms GCD and ABC inequalities for abelian varieties over function fields Universal norms of partially de Rham $B$-pairs and perfectness in Lubin--Tate Iwasawa theory The large sieve inequality and additive decompositions of sums of squares Arithmetic Siegel--Weil formula on the product of modular curves <a href="https://arxiv.org/abs/2610.