Kenji Sakugawa

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math.NT2026

Symmetric multiple Eisenstein series

Takashi Hara, Kenji Sakugawa, Koji Tasaka

In this paper, we introduce the symmetric multiple Eisenstein series, a variant of the multiple Eisenstein series. As a fundamental result, we show that they satisfy the linear shu…

math.NT2024

The depth-weight compatibility on the motivic fundamental Lie algebra and the Bloch-Kato conjecture for modular forms

Kenji Sakugawa

Let $p$ be a prime number and let $V$ be a continuous representation of $Gal (Q / Q)$ on a finite dimensional $Q_{p}$ -vector space, which is…

math.NT2024

Integrality of Hecke eigenvalues and the growth of Hecke fields

Kenji Sakugawa, Shingo Sugiyama

We prove that Hecke eigenvalues for any Hilbert and Siegel modular forms are algebraic integers. Our method does not rely on cohomologicality nor Galois representations. We apply t…