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Artículo
Estimates for exponential sums with a large automorphism group
(American Mathematical Society, 2012)
We prove some improvements of the classical Weil bound for one variable additive and multiplicative character sums associated to a polynomial over a finite field k = Fq for two classes of polynomials which are invariant ...
Artículo
Katz-Radon transform of l-adic representations
(Duke University Press, 2012)
We prove a simple explicit formula for the local Katz-Radon transform of an l-adic representation of the Galois group of the fraction field of a strictly henselian discrete valuation ring with positive residual characteristic, ...
Artículo
Rationality of trace and norm L-functions
(Duke University Press, 2012-06-15)
For a given l-adic sheaf F on a commutative algebraic group G over a finite field k and an integer r ≥ 1 we define the r-th local norm Lfunction of F at a point t ∈ G(k) and prove its rationality. This function ...