ガロア群と有限体と対数関数 - 2026/5/1の論文11本

arXiv math.NTの新着論文11本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-01/An $O_K$-basis for the image of a Lubin-Tate logarithm on $\pi$-regular extensions of $K$Mod p Monodromy of Cyclic Covers of the Projective LineSimple Lie Groups of type An as Galois groups over QOn the difference between perfect powers and integral $S$-unitsAn improved non-linear Roth-type theorem in finite fieldsA divisor function of Wigert and higher degree formsFrobenius Traces for Rank-2 Drinfeld Modules, Higher-Dimensional Galois Representations, and a Strong Multiplicity One Theorem in Positive CharacteristicA torsion-intersection proof of perfect-cuboid nonexistence on 1,072 explicit master-tuple fibersAsymptotic Vanishing of Stiefel--Whitney Classes for $\mathrm{GL}_n(\mathbb{F}_q)$Polynomial Maps with Constants on Matrix AlgebraThe proportion of permutations fixing a $k$-set