Chung-Hang Kwan, Wing Hong Leung
Published 2024-10-15Version 1
In this article, we examine the role of the recent banner of Spectral Reciprocity within the Langlands Beyond Endoscopy and Braverman-Kazhdan programmes. We present a novel four-variable character sum identity, which serves as a pivotal arithmetic input for the functional equations of automorphic L-functions. This identity can also be interpreted as a twisted, non-archimedean counterpart to Weber-type integrals from the theory of special functions.
Functional Equations of $L$-Functions for Symmetric Products of the Kloosterman Sheaf
Trace formula and functional equation
$L^p$-Norm Bounds for Automorphic Forms via Spectral Reciprocity
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