L関数と$p$進構造と幾何学的解析 - 2026/10/28の論文41本

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/2026-10-28/Counting Markov triples and simple geodesicsUniform local models of quasi-unipotent $p$-adic differential equationsHankel determinants for the $(n+2)$-shifted $q$-metallic numbersComputations in weight 3 of higher Bloch groupsInfinite families and sporadic solutions of the equation $\varphi(n)=c+\alpha\sum_{p\mid n}\varphi(p)$Retriangular numbers and affine maps between polygonal numbersPointwise to global good reduction problemsGross--Prasad conjecture in geometric LanglandsMetric Diophantine approximation with primes on irrational linesExact Generic Exponents of Approximation for the Action of the Integral Special Linear Group on the TorusMoment representations for generalized Lehmer polynomialsEffective Chebotarev-Sato-Tate distribution for Abelian varieties with applicationsArchimedean zeta integrals on $ {\rm SO}_{2n} \times {\rm GL}_n$ and $ {\rm Sp}_{2n} \times {\rm GL}_n $Resolvent Components of Completely Normal Elements and the Morgan-Mullen ConjectureSquare-root logarithmic bounds for the arithmetic complexity of factorial multiplesOn the interpolation property of Kupferer's Lubin-Tate regulator mapsArithmetic Poisson summation formulasOn extended interpolation properties of the Katz $p$-adic $L$-functionFinite Fields: Root Sets, Frobenius, and Algebraic StructureDensity and Defect Distribution of Reduced Ideals Missed by the Reduction Algorithm in Real Quadratic FieldsLarge values of Hardy's Function from the Selberg classNear-quadratic sum-product estimates in fixed number fieldsFactorization of Elliptic Divisibility Sequences via Modular CurvesExplicit Serre weights for modular Galois representations of $U(2)$Universality Criterion Sets for Definite Quadratic Lattices over Polynomial RingsOn $p$-Adic Valuation Trees Arising from Laplace Transform of Fibonacci PolynomialsA zero-density estimate for the symmetric square $L$-functions in the weight aspectClass numbers and finiteness of norm Euclidean quadratic lattices over algebraic number fieldsSpectral $L^2$-bounds on Eisenstein series and Diophantine properties of quadratic formsRank functions, $\mathbb{Z}_p$-extensions and class numbersCoprime matchings of divisor setsRe-Ordering the Generalized Hofstadter Functions G, H, and BeyondOuter Lipschitz Geometry of Unions of Tangential Nodal SetsOn the $d$-invariants of Brieskorn spheres and $\mathrm{GL}(2,\mathbb{Z})$Failure of the congruence Hasse principle for commutators in orientable surface groupsJack multiple zeta functionFractal transference principle for conformal iterated function systemsEnumeration of zero-sum subsequences: A proof of Bialostocki-Lotspeich conjecture<a href="https://arxiv.org/abs/