プレプリどんどん: math.NT

格子と楕円曲線とp進体とガロア群 - 2026/6/2の論文36本

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arXiv math.NTの新着論文36本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-06-02/

  1. Perfect powers in the product of denominators of elliptic curves
  2. On $\mathbb{Z}_2$-extensions of real quadratic fields
  3. Prescribed realisation of longest runs in continued fractions
  4. Polylogarithmic Analogues of Euler's Constant
  5. On the $P(t)$-adic Littlewood conjecture in odd characteristics
  6. Locating a shortest vector in certain $2$-dimensional lattices
  7. On indecomposable elements in lattices
  8. The categorical local Langlands conjecture
  9. A further study of polynomial $g_{n,q}$ over finite fields
  10. Topological and Diophantine properties of lattice subset projections
  11. Tame Galois Groups, Linking Numbers and Mildness
  12. Piatetski-Shapiro Primes in short intervals
  13. Additive Rigidity for Images of Rational Points on Abelian Varieties II: The General Case
  14. A Sharp Reverse Minkowski Inequality for the Gaussian Mass of Integral Unimodular Lattices Through Rank $32$
  15. Sums of Apostol's M\"{o}bius functions of order $k$
  16. Distinguished defining polynomials for extensions of p-adic fields
  17. Geometrization of summation formulae for quadrics
  18. High moments of random multiplicative functions twisted by Fourier coefficients of modular forms
  19. Intrinsic Subgroups and the $\ell$-adic Galois image
  20. On a problem on a generalization of Euler's totient function
  21. On cyclotomic matrices related to Kloosterman sums over finite fields
  22. Infinite Moments of Class Groups for Solvable Fields with a Normal Abelian Subgroup
  23. Applications of a formula of Maesaka-Seki-Watanabe type for multiple harmonic $q$-sums
  24. Universality of the cokernels of random $p$-adic matrices with inhomogeneously balanced columns
  25. On the unit equation $\varepsilon+\delta=n$ in cubic fields
  26. On periods of Elliptic curves
  27. Arithmetic regularity as an alternative to transference
  28. Cyclotomic factors of rational necklace functions
  29. Analogues of the Lindel\"of Hypothesis for the Barnes multiple zeta function and related problems
  30. Finding the complement of an elliptic curve inside a Jacobian
  31. The Primes are $2$-Accessible
  32. Infinitely many holes in connectedness loci for collinear affine iterated function systems
  33. Non-Archimedean Massera-Schaffer-Maligranda-Pecaric-Rajic Inequality
  34. Hitting Arithmetic Progressions at the Square-Root Scale
  35. The 1/2-Conjecture for $q$-Binomial Coefficients with Fractional Index
  36. Three-color van der Waerden numbers grow super-exponentially