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Character sums, reciprocity and functional equations
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-...
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Published in: | arXiv.org 2024-10 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Online Access: | Get full text |
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Summary: | 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. |
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ISSN: | 2331-8422 |