On the degree five L-function for GSp(4)
Daniel File
TL;DR
This paper introduces a novel integral representation for the degree five L-function associated with GSp(4), refining previous methods and utilizing a unique Bessel model for more explicit calculations.
Contribution
It presents a new integral representation that refines earlier work, providing explicit formulas and a unique Bessel model for GSp(4) L-functions.
Findings
New integral representation for degree five L-function
Explicit formula for the Bessel model
Unramified local calculation differs from prior work
Abstract
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.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Analytic Number Theory Research