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math.AG1999
Gamma-functions of representations and lifting
Alexander Braverman, David Kazhdan, V. Vologodsky
Let G be the group of points of a quasi-split reductive algebraic group over a local field F. It follows from the local Langlands conjectures that to every non-trivial additive cha…
math.AG1999
Generalized character sums associated to regular prehomogeneous vector spaces
David Kazhdan, Alexander Polishchuk
In this paper we consider the analogue of the Sato's functional equation for the prehomogeneous vector spaces over finite fields. The corresponding character sums depend on a relat…