プレプリどんどん: math.NT

ディオファントス方程式とガロア群 - 2026/4/22の論文14本

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arXiv math.NTの新着論文14本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-22/

  1. Optimal Shifting Method in Dirichlet's divisor problem
  2. Characterizing monogenic trinomials $\boldsymbol{x^{12}+ax^6+b}$ according to their Galois groups
  3. Algebraic numbers and Fourier analysis: Salem's third problem
  4. Sums of Hecke eigenvalues along polynomial sequences and base change for $\text{GL}(2)$
  5. Classification of Rational Functions of Degree Three over Finite Fields
  6. Handling some Diophantine equation via Euclidean algorithm and its application to purely exponential equations
  7. Beyond the square-root barrier: cubic forms of Perazzo type
  8. Quartic Rational Diophantine Quadruples and the Euler Surface
  9. Division algorithms for norm-Euclidean imaginary quadratic fields
  10. Representations of binary quadratic forms by quaternary quadratic forms
  11. Pseudometrics and preorders on sets of integer sequences induced by arithmetic functions functions
  12. Explicit counting of ideals in number fields of arbitrary degree
  13. Global Product Intersection Sets in Semigroups
  14. Independent Sets and Continued Fractions