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arXiv math.NTの新着論文17本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-06/

  1. Sign changes of the Liouville function in arithmetic progressions
  2. Monogenity of pure quintic fields: the power of sieving
  3. Behaviour of Certain Crystalline Representations modulo $2$
  4. Infinitesimal characters for the completed cohomology of $\mathrm{GL}_n$ over CM fields
  5. Lectures on Condensed Mathematics
  6. Optimal embeddings for maximal orders of central simple algebras of degree 3 over number fields
  7. Joint extreme values of $L$-functions on and off the critical line
  8. A multivariate Strassmann theorem
  9. Congruence rigidity of algebraic groups
  10. Real approximation for homogeneous spaces with finite stabilizers
  11. On the largest Sidon subset in a finite subset of $\mathbb{R}^N$
  12. Analytic summation of series involving higher-order derivatives of Chebyshev polynomials of the second kind and their applications to convolved linear recurrent sequences
  13. Table-Based Encodings for Conway's Doomsday Algorithm: Vectorized Doomsdays and Doomyears
  14. Signed sumsets and restricted signed sumsets in groups and fields
  15. Characteristic-free approaches around Yu's construction
  16. Lectures on Analytic Geometry
  17. Small Matrices with Small Inverses: Unimodular Zerofree Cases