置換三項式とフラクタルとp-射影楕円曲線 - 2026/3/5の論文17本

arXiv math.NTの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-05/On Permutation Trinomials and Complete Permutation Polynomials via Fiber Criteria over Finite FieldsAsymptotic Mean of Digits of the $Q_s$--representation of the Fractional Part of a Real Number and Related Problems of Fractal Geometry and Fractal AnalysisLinear fractals of the Bezikovitch--Eggleston typeTopological, metric and fractal properties of the set of real numbers with a given asymptotic mean of digits in their $4$--adic representation in the case when the digit frequencies existThree Questions of Erd\H{o}s-Nathanson on Asymptotic Bases of Order 2Semistable intrinsic reduction loci for the iterations of non-archimedean quadratic rational functionsPolarized superspecial abelian varieties over $\mathbb{F}_p$ via hermitian latticesLubin's conjecture for height-one $p$-adic dynamical systems over $(p^2-p)$-tame extensionsExplicit p-adic Hodge theory for elliptic curves and non-split Cartan imagesStrong Approximation for the Character Variety of the Four-Times Punctured SphereA trick to ensure positive Mordell-Weil rankOn the defect in the generalized Grunwald--Wang problemSums of four generalized polygonal numbers of almost prime lengthThe Geometric Unitary Kudla ConjectureOn the maximal run-length function in the L\"uroth expansionSome remarks about q-Narayana polynomials for q=-1Abelian-normal decimal expansions