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math.NT2001
A New Bound for Kloosterman Sums
Jason Fulman
We give generating functions for Gauss sums for finite general linear and unitary groups. For the general linear case only our method of proof is new, but we deduce a bound on Kloo…
math.NT1999
Cellini's descent algebra and semisimple conjugacy classes of finite groups of Lie type
Jason Fulman
By algebraic group theory, there is a map from the semisimple conjugacy classes of a finite group of Lie type to the conjugacy classes of the Weyl group. Picking a semisimple class…