Jun Ueki

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math.NT2026

Positive characteristic analogues of finite algebraic numbers

Daichi Matsuzuki, Honami Sakamoto, Jun Ueki

J.~Rosen introduced the ring $P_{A}^{0}$ of so-called finite algebraic numbers, which may be seen as an analogue of certain periods in the ring $\mathcal{A}=\prod…

math.NT2025

The $p$ -adic limits of class numbers in $Z_{p}$ -towers

Jun Ueki, Hyuga Yoshizaki

This article discusses variants of Weber's class number problem in the spirit of arithmetic topology to connect the results of Sinnott--Kisilevsky and Kionke. Let $p$ be a prime nu…

Positive characteristic analogues of finite algebraic numbers

The p-adic limits of class numbers in Zp​-towers

The $p$ -adic limits of class numbers in $Z_{p}$ -towers