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arXiv:1306.4104 [math.NT]AbstractReferencesReviewsResources

Power moments of Kloosterman sums

Ke Gong, Willem Veys, Daqing Wan

Published 2013-06-18, updated 2016-02-19Version 2

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.

Comments: To appear in Journal of Number Theory, 25 pages
Categories: math.NT, math.AG
Subjects: 11L05, 11L07, 11S80
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