幾何構造と数論的解析 - 2026/10/30の論文61本

arXiv math.NTの新着論文61本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-30/The View-Obstruction Problem for Spheres in Dimensions Six and SevenJacob's ladders and wander from Hardy-Littlewood integral (1918) to the $\zeta$-Platonic cube form of equivalent of the Fermat-Wiles theoremOn the convexity of the fundamental domain of binary cyclotomic formsNovel properties of polynomialsA complete classification of minimal value set polynomialsVan der Waerden's Problem for Cubic SurfacesA Kohnen-Zagier Formula in Level 1Determining norm-Euclidean complex cubic fieldsGeometric properties of the analytic Emerton-Gee stackA note on a problem of Ma and ChenThe Borisov--Nuer conjecture and root decompositions in even unimodular Lorentzian latticesLifting mod $p$ Galois representations over local fieldsRepresentations and $n$-universality of hermitian lattices over local and number fieldsAn asymptotic Jensen-Polya criterion for GRHSerre's conjectures for $\Q(\sqrt{13})$Reciprocity formulas for generalized Dedekind character sumsCA2 numbers and the Riemann hypothesis: a numerical investigation of Ramanujan's inequalitiesFree modules of vector-valued modular forms and applications to Jacobi formsCentres of mass, Steiner's theorem, and equations of Erd\H{o}s-Moser typeThe trace distribution of $r$-primitive $k$-normal elements of finite fieldsAn introduction to the strategy of transcendence proofsOn short averages of the Fibonacci partition functionRational points of exact period three for the quadratic familyMoments of characteristic polynomials at random matrix Gram pointsLow-rank matrices with three prescribed off-diagonal values over $\mathbb{F}_p$Least common multiples of polynomial values: averaging, ray classes, and Galois statisticsVanishing near the virtual cohomological dimension of $\mathrm{SL}_n(\mathbb Z)$Hilbertian Fields and Profinite Iterated Monodromy Groups Over Transcendental Elements with Specializations of Infinite IndexQuasimodularity of $q$-series associated to root latticesAn Arithmetic Property of Intertwining Operators for Real Reductive GroupsExtreme values of Artin $L$-functions at $s=1$Geometric Proofs of Riemann-Type Theta RelationsShifted convolutions of divisor functionsMultiple representations in difference sets under polynomial density constraintsPetersson-rigid lattices of signature (2,1) and their harmonic weak Maass formsSpecial cycles and Picard groups of Baily--Borel compactificationsArchimedean Asai Zeta Integrals and Cohomological Test VectorsThe 120-Cell Dissected by the Hyperplanes of Its Final Stellation: the golden ring Z[phi] as foundation, from Kramer's seven cells to 2,455,201 cells in 338 orbitsA logarithmic error te