Character sums, reciprocity and functional equations Institutional Repository Document uri icon

abstract

  • 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.

author list (cited authors)

  • Kwan, C., & Leung, W. H.

complete list of authors

  • Kwan, Chung-Hang||Leung, Wing Hong