A relative trace formula approach to the Kuznetsov formula on $GSp_4$
F\'elicien Comtat
TL;DR
This paper develops an explicit Kuznetsov formula for GSp_4 using a relative trace formula approach, advancing tools for studying automorphic forms on this group.
Contribution
It introduces a new explicit Kuznetsov formula for GSp_4 derived via relative trace formulas, a novel approach in this context.
Findings
Derived an explicit Kuznetsov formula for GSp_4
Enhanced understanding of automorphic forms on GSp_4
Provided a foundation for future applications
Abstract
Relative trace formulas play a central role in studying automorphic forms. In this paper, we use a relative trace formula approach to derive a Kuznetsov type formula for the group . We focus on giving a final formula that is as explicit as possible, and we plan on returning to applications elsewhere.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Finite Group Theory Research · Algebraic Geometry and Number Theory