プレプリどんどん: math.NT

原始解 と ワリングゴールド と ラマヌジャン - 2026/3/9の論文15本

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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/2026-03-09/

  1. The fourth known primitive solution to $a^5 + b^5 + c^5 + d^5 = e^5$
  2. Waring-Goldbach problems for one square and higher powers
  3. Joint Linnik problems
  4. On an elementary method for solving $Ax^4-By^2=1$
  5. On indefinite integral ternary quadratic forms
  6. Cohen-Macaulayness of Local Models via Shellability of the Admissible Set
  7. On the spectrum of Diophantine exponents of lattices
  8. On The Hausdorff Dimension Of Two Dimensional Badly Approximable Vector
  9. Ramanujan Complexes from Unitary Groups over Number Fields
  10. Rational Preperiodic Points of Quadratic Rational Maps over $\mathbb{Q}$ with Nonabelian Automorphism Groups
  11. On the monogenicity and Galois groups of $\boldsymbol{x^{2p}+ax^p+b^p}$
  12. On the integer partitions recursive structure
  13. Uniform sum-product phenomenon for algebraic groups and Bremner's conjecture
  14. Reductification of parahoric group schemes
  15. A Note on Hodge theoretic anabelian geometry