p-アディックとReLUと楕円曲線 - 2026/3/3の論文37本

arXiv math.NTの新着論文37本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-03/The minimal width of universal $p$-adic ReLU neural networksZolotarev's Magical Proof of Quadratic ReciprocityUnconditional Density Bounds for Quadratic Norm-Form Energies via Lorentzian Spectral WeightsOn log crystalline higher direct imageThe Bombieri--van der Poorten Formula for Partial Quotients of Higher Degree Algebraic IrrationalsA Deterministic Fractal Set Derived from the Sequence of Prime NumbersOn the quadratic Waring-Goldbach problem with primes in Piatetski-Shapiro setsAnother proofs of Zagier's formula for multiple zeta values and Murakami's formula for multiple $t$-valuesAlmost prime numbersOn bilinear sums with modular square roots and applications IIEquidistribution in shrinking sets for arithmetic spherical harmonicsThe 2-term DilogarithmAutomatic convergence for holomorphic modular formsInequalities for the number of $t$-hooks in two partition classes arising from sum-product identitiesWeighted averages of $p$-adic hypergeometric functions and traces of Frobenius of elliptic curvesRegulator Constants and CohomologyOn a theorem of Schmidt's subspace theory with moving targetsRelative integral spinor norm groups over dyadic local fieldsThe overconvergence of multivariable $(\varphi_q,\mathcal{O}_K^{\times})$-modules at the perfectoid levelLower bounds for the large deviations and moments of the Riemann zeta function on the critical lineJacob's ladders and the equivalent of the Fermat-Wiles theorem generated by the Hardy-Littlewood formula (1921)Transfer principles and the Kato-Kuzumaki conjectureMass equidistribution for lifts on hyperbolic $4$-manifoldsPartial weight one modularity for Galois representations associated to mod $p$ Hilbert modular formsAn estimate for incomplete mixed character sums and applicationsTorsion cycles on Fermat varietiesA note on the M\"obius uncertainty principle for posetsProofs of some conjectures of Okazaki and Smith on line defect half-indices of ${\rm SU}(N)$ Chern-Simons theoriesModularity of special cycles on Shimura varieties: a surveyCovers of curves, Ceresa cycles, and Unlikely intersectionsNon-Archimedean Tarski-Maligranda InequalitiesA lift of the colored Jones polynomial of a knotOvercolored Partition Restricted by Parity of the PartsA Dynamical Fekete-Szeg\H{o} TheoremBerkovich $2$-motives and normed ring stacksCoexact $1$-form spectral gaps of hyperbolic rational homology spheresHorizontal Kakeya maximal operators in finite Heisenberg groups: Exact exponents and applications