3-adicとMöbiusとIwasawa - 2026/3/13の論文15本

arXiv math.NTの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-13/On the 3-adic Valuation of a Cubic Binomial SumThe M \"obius Disjointness Conjecture on infinite-dimensional torus$p$-adic Principal Component AnalysisOn the distribution of shapes of totally real multiquadratic number fieldsIntroduction to Dieudonn\'e modules and supersingular abelian varieties revisitedIwasawa Main Conjecture for ordinary semistable elliptic curves over global function fieldsOn the discrete mean square of certain hybrid sum involving $a_{\mathbb{K}}(n)$Badly approximable points on non-linear carpetsOn the $2$-adic valuation of $\sigma_k(n)$The distribution of large values of mixed character sumsCombinatorial designs and the Prouhet--Tarry--Escott problemOn an Overpartition Analogue of $SOME(n)$Primitive-Root Determinant Densities over Prime Fields and Implications for PRIM-LWEExceptional theta correspondences via Plancherel formulas for rank one symmetric spacesConstruction of Local Arthur Packets for Metaplectic Groups and the Adams Conjecture