Power moments of Kloosterman sums

Published 18 Jun 2013 in math.NT and math.AG | (1306.4104v2)

Abstract: In this paper we give an essential treatment for estimating arbitrary integral power moments of Kloosterman sums over the residue class ring. For prime moduli we derive explicit estimates, and for prime-power moduli we prove concrete formulas using computations with Igusa zeta functions.

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