Archimedean zeta integrals for 𝐺𝐿(3)×𝐺𝐿(2)-Reference-Cited by-同舟云学术

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

Published:2022-07 Issue:1366 Volume:278 Page:
ISSN:0065-9266
Container-title:Memoirs of the American Mathematical Society
language:en
Short-container-title:Memoirs of the AMS

Author:

Hirano Miki,Ishii Taku,Miyazaki Tadashi

Abstract

In this article, we give explicit formulas of archimedean Whittaker functions on G L ( 3 ) GL(3) and G L ( 2 ) GL(2) . Moreover, we apply those to the calculation of archimedean zeta integrals for G L ( 3 ) × G L ( 2 ) GL(3)\times GL(2) , and show that the zeta integral for appropriate Whittaker functions is equal to the associated L L -factors.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/memo/1366/memo1366.pdf

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4. Calculus of principal series Whittaker functions on 𝐺𝐿(3,𝐂);Hirano, Miki;J. Funct. Anal.,2009

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