T. Hara

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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

Uniform Integrality of critical values of the Rankin-Selberg $L$ -function for $GL_{n} \times GL_{n - 1}$

Takashi Hara, Tadashi Miyazaki, Kenichi Namikawa

After introducing the notion of uniform integrality of critical values of the Rankin-Selberg $L$ -functions for $GL_{n} \times GL_{n - 1}$ , we study it when the base…

Symmetric multiple Eisenstein series

Uniform Integrality of critical values of the Rankin-Selberg L-function for GLn​×GLn−1​

Uniform Integrality of critical values of the Rankin-Selberg $L$ -function for $GL_{n} \times GL_{n - 1}$