Jun Ueki

collaborators

4 papers

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.GT2026

Taut polynomials from finite quotients of fibered hyperbolic 3-manifold groups

Tam Cheetham-West, Biao Ma, Jun Ueki +1

We prove that the finite quotients of a fibered hyperbolic 3-manifold group detect the taut polynomials of fibered faces of the Thurston norm balls, whenever the monodromy map is f…

math.GT2025

The Iwasawa invariants of $Z_{p}^{d}$ -covers of links

Sohei Tateno, Jun Ueki

Let $p$ be a prime number and let $d \in Z_{> 0}$ . In this paper, following the analogy between knots and primes, we study the $p$ -torsion growth in a compatible system of $…

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

Taut polynomials from finite quotients of fibered hyperbolic 3-manifold groups

The Iwasawa invariants of Zpd​-covers of links

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

The Iwasawa invariants of $Z_{p}^{d}$ -covers of links

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