Hyuga Yoshizaki

activity

20212025

collaborators

4 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.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…

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

Bijective enumerations for symmetrized poly-Bernoulli polynomials

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