arXiv math.NTの新着論文7本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-12/

1. On the discrete convolution of the Liouville and M\"obius functions
2. On the Existence of Integers with at Most 3 Prime Factors Between Every Pair of Consecutive Squares
3. Algebra Structures of Multiple Eisenstein Series in Positive Characteristic
4. Transcendence of $p$-adic continued fractions and a quantitative $p$-adic Roth theorem
5. $p$-adic $L$-functions for elliptic curves over global function fields
6. Toroidal families and averages of $L$-functions, II: cubic moments
7. Hook Length Biases in $t$-Core Partitions