T. Miyazaki

activity

19942023

most citedThe

(g, K)

-module structures of principal series representations of

S p (3, R)

5 citations · 18 across the 15 of their papers we have counts for

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math.NT2023

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…

math.NT2021★ 1 cited

Archimedean zeta integrals for $G L (3) \times G L (2)$

Miki Hirano, Taku Ishii, Tadashi Miyazaki

In this article, we give explicit formulas of archimedean Whittaker functions on $G L (3)$ and $G L (2)$ . Moreover, we apply those to the calculation of archimedean zeta integrals for…

math.NT2020

Calculus of archimedean Rankin--Selberg integrals with recurrence relations

Taku Ishii, Tadashi Miyazaki

Let $n$ and $n^{'}$ be positive integers such that $n - n^{'} \in {0, 1}$ . Let $F$ be either $R$ or $C$ . Let $K_{n}$ and $K_{n^{'}}$ be maximal compact subgroups of $\mathrm{G…

math.NT2020

Automorphic pairs of distributions on $R$ , and Maass forms of real weights

Tadashi Miyazaki

We give a correspondence between automorphic pairs of distributions on $R$ and Dirichlet series satisfying functional equations and some additional analytic conditions. Mo…

math.NT2019★ 2 cited

Converse theorems for automorphic distributions and Maass forms of level N

Tadashi Miyazaki, Fumihiro Sato, Kazunari Sugiyama +1

We investigate the relations for $L$ -functions satisfying certain functional equation, summationa formulas of Voronoi-Ferrar type and Maass forms of integral and half-integral weig…

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

Archimedean zeta integrals for GL(3)×GL(2)

Calculus of archimedean Rankin--Selberg integrals with recurrence relations

Automorphic pairs of distributions on R, and Maass forms of real weights

Converse theorems for automorphic distributions and Maass forms of level N

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

Archimedean zeta integrals for $G L (3) \times G L (2)$

Automorphic pairs of distributions on $R$ , and Maass forms of real weights