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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/2026-02-19/

  1. On the Lagarias Inequality and Superabundant Numbers
  2. On the Jacobian of $\overline{{{\rm Spec}\,\mathbb Z}}$
  3. On the Mean Value of a Weighted Composite Arithmetic Function
  4. Binomial sums and properties of the Bernoulli transform
  5. Quantum modularity of signatures in TQFT and generalized Dedekind sums
  6. Intersections of special cycles on Shimura curves and Siegel Maass forms
  7. A zero-one law for improvements to Dirichlet's theorem in arbitrary dimension
  8. On coefficients, potentially abelian quotients, and residual irreducibility of compatible systems
  9. Remarks on the inverse Littlewood conjecture
  10. Hensel minimality, $p$-adic exponentiation and Tate uniformization
  11. Anticoncentration of Random Sums in $\mathbb{Z}_p$