Taku Ishii

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20112024

most citedWhittaker functions on orthogonal groups of odd degree

4 citations · 6 across the 5 of their papers we have counts for

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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 $…

Whittaker functions on orthogonal groups of odd degree

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

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