Explicit values of multi-dimensional Kloosterman sums for prime powers, II

DOI10.1090/S0025-5718-07-02011-XzbMath1130.11043MaRDI QIDQ5429509

Stanley J. Gurak

Publication date: 30 November 2007

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

Gauss sumsKloosterman sums

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Other character sums and Gauss sums (11T24)

Related Items (4)

Explicit values of multi-dimensional Kloosterman sums for prime powers, II ⋮ POLYNOMIALS FOR HYPER-KLOOSTERMAN SUMS ⋮ Kloosterman sums for prime powers in \(p\)-adic fields ⋮ On the minimal polynomial of Gauss periods for prime powers

Cites Work

• On \(n\)-dimensional Kloosterman sums
• Upper bounds on \(n\)-dimensional Kloosterman sums
• Über die Kloostermanschen Summen \(S(u,v;q)\)
• Exponential sum estimates over subgroups of \(\mathbb Z^*_q\), \(q\) arbitrary
• Exponential sum estimates over subgroups and almost subgroups of \(\mathbb Z_Q^*\), where \(Q\) is composite with few prime factors
• On the minimal polynomial of Gauss periods for prime powers
• POLYNOMIALS FOR HYPER-KLOOSTERMAN SUMS
• On Multiple Salie Sums
• New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum
• Pure and mixed exponential sums
• Explicit values of multi-dimensional Kloosterman sums for prime powers, II
• Minimal polynomials for Gauss periods with f=2
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