arXiv subjects

Yuto Tsuruta

Publications and source records attributed to Yuto Tsuruta.

3 recordsLinked to original sources

arXiv2026

Applications of a formula of Maesaka-Seki-Watanabe type for multiple harmonic $q$-sums

Maesaka, Seki and Watanabe proved a formula for multiple harmonic sums. Yamamoto generalized it to Schur-type multiple harmonic sums, and the second author proved a $q$-analogue of this generalization. In this paper, we give two applications of the $q$-analogue formula. The first is an alternative proof of the duality of a $q$-analogue of multiple zeta values. The second is a proof of an identity for a $q$-analogue of the Kawashima function.

math.NT↗

arXiv2026

On the finite transcendence of Frobenius traces for abelian varieties over $\mathbb{Q}$

The first purpose of this paper is to give the fnite transcendence of Frobenius traces for elliptic curves over $\mathbb{Q}$ without the assumption of complex multiplication (CM). This result generalizes the previous work by Luca and Zudilin, who obtained similar transcendence results specifically for the CM case. The second purpose is to give the finite transcendence of Frobenius traces for several principally polarized abelian varieties over $\mathbb{Q}$, by using Luca--Zudilin's method.

math.NT↗

arXiv2024

Maesaka-Seki-Watanabe's formula for multiple harmonic $q$-sums

Maesaka, Seki, and Watanabe recently discovered an equality called the MSW formula. This paper provides a $q$-analogue of the MSW formula. It discusses the new proof of the duality relation for finite multiple harmonic $q$-series at primitive roots of unity via $q$-analogue of the MSW formula. This paper also gives a $q$-analogue of Yamamoto's generalization of the MSW formula for Schur type.

math.NT↗