Spin 𝐿-functions on 𝐺𝑆𝑝₈ and 𝐺𝑠𝑝₁₀-Reference-Cited by-同舟云学术

Spin 𝐿-functions on 𝐺𝑆𝑝₈ and 𝐺𝑠𝑝₁₀

Published:1999-07-07 Issue:2 Volume:352 Page:875-899
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bump Daniel,Ginzburg David

Abstract

The “spin” L-function of an automorphic representation of G S p 2 n GSp_{2n} is an Euler product of degree 2 n 2^{n} associated with the spin representation of the L-group G S p i n ( 2 n + 1 ) \mathrm {GSpin}(2n+1) . If n = 4 n=4 or 5 5 , and the automorphic representation is generic in the sense of having a Whittaker model, the analytic properties of these L-functions are studied by the Rankin-Selberg method.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2000-352-02/S0002-9947-99-02174-1/S0002-9947-99-02174-1.pdf

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4. The unramified principal series of 𝑝-adic groups. II. The Whittaker function;Casselman, W.;Compositio Math.,1980

5. On spin 𝐿-functions for orthogonal groups;Ginzburg, David;Duke Math. J.,1995

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