arXiv:1201.2783 Abstract | arXiv Analytics

arXiv:1201.2783 [math.NT]Abstract References Reviews Resources

On the degree five L-function for GSp(4)

Published 2012-01-13, updated 2012-01-27Version 2

I give a new integral representation for the degree five (standard) L-function for automorphic representations of GSp(4) that is a refinement of integral representation of Piatetski-Shapiro and Rallis. The new integral representation unfolds to produce the Bessel model for GSp(4) which is unique. The local unramified calculation uses an explicit formula for the Bessel model and differs completely from Piatetski-Shapiro and Rallis.

Comments: 28 pages

Categories: math.NT

Subjects: 11F66

Keywords: l-function, bessel model, integral representation unfolds, piatetski-shapiro, automorphic representations

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