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/2026-03-13/

1. On the 3-adic Valuation of a Cubic Binomial Sum
2. The M \"obius Disjointness Conjecture on infinite-dimensional torus
3. $p$-adic Principal Component Analysis
4. On the distribution of shapes of totally real multiquadratic number fields
5. Introduction to Dieudonn\'e modules and supersingular abelian varieties revisited
6. Iwasawa Main Conjecture for ordinary semistable elliptic curves over global function fields
7. On the discrete mean square of certain hybrid sum involving $a_{\mathbb{K}}(n)$
8. Badly approximable points on non-linear carpets
9. On the $2$-adic valuation of $\sigma_k(n)$
10. The distribution of large values of mixed character sums
11. Combinatorial designs and the Prouhet--Tarry--Escott problem
12. On an Overpartition Analogue of $SOME(n)$
13. Primitive-Root Determinant Densities over Prime Fields and Implications for PRIM-LWE
14. Exceptional theta correspondences via Plancherel formulas for rank one symmetric spaces
15. Construction of Local Arthur Packets for Metaplectic Groups and the Adams Conjecture