プレプリどんどん: math.NT

ガロア群と有限体と対数関数 - 2026/5/1の論文11本

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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/

  1. An $O_K$-basis for the image of a Lubin-Tate logarithm on $\pi$-regular extensions of $K$
  2. Mod p Monodromy of Cyclic Covers of the Projective Line
  3. Simple Lie Groups of type An as Galois groups over Q
  4. On the difference between perfect powers and integral $S$-units
  5. An improved non-linear Roth-type theorem in finite fields
  6. A divisor function of Wigert and higher degree forms
  7. Frobenius Traces for Rank-2 Drinfeld Modules, Higher-Dimensional Galois Representations, and a Strong Multiplicity One Theorem in Positive Characteristic
  8. A torsion-intersection proof of perfect-cuboid nonexistence on 1,072 explicit master-tuple fibers
  9. Asymptotic Vanishing of Stiefel--Whitney Classes for $\mathrm{GL}_n(\mathbb{F}_q)$
  10. Polynomial Maps with Constants on Matrix Algebra
  11. The proportion of permutations fixing a $k$-set