Hyuga Yoshizaki

collaborators

3 papers

math.NT2025

On some periodic continued fractions along the $Z_{2}$ extension over $Q$

Yoshinori Kanamura, Hyuga Yoshizaki

In 2021, Brock, Elkies, and Jordan generalized the theory of periodic continued fractions (PCFs) over $Z$ to the ring of integers in a number field. In particular, they co…

math.NT2025

The $p$ -adic limits of iterated $p$ -power cyclic resultants of multivariable polynomials

Hyuga Yoshizaki

Let $p$ be a prime number. The $p$ -power cyclic resultant of a polynomial is the determinant of the Sylvester matrix of $t^{p^{n}} - 1$ and the polynomial. It is known that the sequenc…

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…

On some periodic continued fractions along the Z2​ extension over Q

The p-adic limits of iterated p-power cyclic resultants of multivariable polynomials

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

On some periodic continued fractions along the $Z_{2}$ extension over $Q$

The $p$ -adic limits of iterated $p$ -power cyclic resultants of multivariable polynomials

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