Hyuga Yoshizaki

activity

20202025

most citedThe

p

-adic limits of class numbers in

Z_{p}

-towers

1 citations · 2 across the 7 of their papers we have counts for

collaborators

8 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.NT2022

Weber's class number problem and its variants

Hyuga Yoshizaki

We survey Weber's class number problem and its variants in the spirit of arithmetic topology; we recollect some history, present a relation to certain units and generalized Pell's…

math.NT2022★ 1 cited

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…

math.NT2022

Some periodic integer continued fraction expansions of $m$ and application to the Pell equations

Yoshinori Kanamura, Hyuga Yoshizaki

Periodic integer continued fractions (PICFs) are generalization of the regular periodic continued fractions (RPCFs). It is classical that a RPCF expansion of an irrational number i…

math.CO2021

Bijective enumerations for symmetrized poly-Bernoulli polynomials

Minoru Hirose, Toshiki Matsusaka, Ryutaro Sekigawa +1

Recently, Bényi and the second author introduced two combinatorial interpretations for symmetrized poly-Bernoulli polynomials. In the present study, we construct bijections between…

math.NT2021

Minimal relative units of the cyclotomic $Z_{2}$ -extension

Tomokazu Kashio, Hyuga Yoshizaki

Let $B_{n} := Q (cos (π / 2^{n + 1}))$ . For the relative norm map $N_{n / n - 1} : O_{B_{n}}^{\times} \to O_{B_{n - 1}}^{\times}$ …

math.NT2020★ 1 cited

Generalized Pell's equations and Weber's class number problem

Hyuga Yoshizaki

We study a generalization of Pell's equation, whose coefficients are certain algebraic integers. Let $X_{0} = 0$ and $X_{n} = 2 + X_{n - 1}$ for each $n \in Z_{\geq 1}$ . We study…

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

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

Weber's class number problem and its variants

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

Some periodic integer continued fraction expansions of m​ and application to the Pell equations

Bijective enumerations for symmetrized poly-Bernoulli polynomials

Minimal relative units of the cyclotomic Z2​-extension

Generalized Pell's equations and Weber's class number problem

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

Some periodic integer continued fraction expansions of $m$ and application to the Pell equations

Minimal relative units of the cyclotomic $Z_{2}$ -extension