Taku Ishii

activity

20112021

most citedWhittaker functions on orthogonal groups of odd degree

4 citations · 6 across the 4 of their papers we have counts for

collaborators

4 papers

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.NT2011★ 4 cited

Whittaker functions on orthogonal groups of odd degree

Taku Ishii

We give explicit formulas for Whittaker functions for the class one principal series representations of the orthogonal groups $S O_{2 n + 1} (R)$ of odd degree. Our formulas are simi…

math.NT2011★ 1 cited

Archimedean zeta integrals on $G L_{n} \times G L_{m}$ and $S O_{2 n + 1} \times G L_{m}$

Taku Ishii, Eric Stade

In this paper, we evaluate archimedean zeta integrals for automorphic $L$ -functions on $G L_{n} \times G L_{n - 1 + ℓ}$ and on $S O_{2 n + 1} \times G L_{n + ℓ}$ , for $ℓ = - 1$ , $0$ , and $…

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

Calculus of archimedean Rankin--Selberg integrals with recurrence relations

Whittaker functions on orthogonal groups of odd degree

Archimedean zeta integrals on GLn​×GLm​ and SO2n+1​×GLm​

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

Archimedean zeta integrals on $G L_{n} \times G L_{m}$ and $S O_{2 n + 1} \times G L_{m}$