K. Kina

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math.NT2026

Zeros of Quasimodular Forms Defined by Iterated Sums

Katsumi Kina, Gyucheol Shin

We study the zeros of the quasimodular forms $G_{{2}^{n}}$ defined by iterated sums. We first show that, for every $n > 0$ , $G_{{2}^{n}}$ has exactly $n$ simple zeros on each of the…

math.NT2026

An Explicit Expression for MZVs in Terms of Symmetric MZVs

Katsumi Kina

We provide a simpler proof of the fact, originally proved by Seidai Yasuda, that symmetric multiple zeta values generate the entire space of multiple zeta values. Furthermore, base…

math.NT2025

Multiple $℘$ -Functions and Their Applications

Hayato Kanno, Katsumi Kina

In this paper, we introduce and study multiple $℘$ -functions, which generalize the classical Weierstrass $℘$ -function to iterated sums over lattice points, and we establish exp…

math.NT2024

Double Eisenstein series and modular forms of level $4$

Katsumi Kina

We study the $\mthbb{Q}$-vector space generated by the double zeta values with character of conductor $4$ . For this purpose, we define associated double Eisenstein series and inves…

Zeros of Quasimodular Forms Defined by Iterated Sums

An Explicit Expression for MZVs in Terms of Symmetric MZVs

Multiple ℘-Functions and Their Applications

Double Eisenstein series and modular forms of level 4

Multiple $℘$ -Functions and Their Applications

Double Eisenstein series and modular forms of level $4$