L-Functions for GSp(2) × GL(2): Archimedean Theory and Applications

Author:

Moriyama Tomonori

Abstract

Abstract. Let Π be a generic cuspidal automorphic representation of GSp(2) defined over a totally real algebraic number field k whose archimedean type is either a (limit of) large discrete series representation or a certain principal series representation. Through explicit computation of archimedean local zeta integrals, we prove the functional equation of tensor product L-functions L(s,Π × σ) for an arbitrary cuspidal automorphic representation σ of GL(2). We also give an application to the spinor L-function of Π.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Whittaker functions for generalized principal series representations of GSp(2,R);Journal of Functional Analysis;2019-01

2. Algebraic Cycles and Residues of Degree 8 L-functions of GSp(4) × GL(2);International Mathematics Research Notices;2018-06-12

3. A conditional construction of Artin representations for real analytic Siegel cusp forms of weight (2,1);Advances in the Theory of Automorphic Forms and Their -functions;2016

4. n-Level Densities of ArtinL-Functions;International Mathematics Research Notices;2014-10-19

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