CONGRUENCES FOR SUMS OF POWERS OF KLOOSTERMAN SUMS

DOI10.1142/S1793042107000821zbMath1127.11054MaRDI QIDQ3435264

H. Timothy Choi, Ronald J. Evans

Publication date: 25 April 2007

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

CongruencesMoments of Kloosterman sums

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05)

Related Items

\(L\)-functions of symmetric powers of Kloosterman sums (unit root \(L\)-functions and \(p\)-adic estimates) ⋮ Trivial factors for \(L\)-functions of symmetric products of Kloosterman sheaves ⋮ Twisted Kloosterman sums ⋮ \(L\)-functions of symmetric products of the Kloosterman sheaf over \(Z\) ⋮ A new identity involving the classical Kloosterman sums and 2-dimensional Kloosterman sums ⋮ Galois representations attached to moments of Kloosterman sums and conjectures of Evans ⋮ Functional equations of $L$-functions for symmetric products of the Kloosterman sheaf ⋮ Seventh power moments of Kloosterman sums

Cites Work

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• Über die Kloostermanschen Summen \(S(u,v;q)\)
• Motivic orthogonal two-dimensional representations of \(\text{Gal}(\overline\mathbb{Q}/\mathbb{Q})\)