Bounds of Gauss sums in finite fields

DOI10.1090/S0002-9939-04-07133-3zbMath1195.11108MaRDI QIDQ4813701

Igor E. Shparlinski

Publication date: 13 August 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Recurrences (11B37) Gauss and Kloosterman sums; generalizations (11L05) Other character sums and Gauss sums (11T24)

Related Items (6)

Exponential sums in prime fields for modular forms ⋮ Index bounds for character sums of polynomials over finite fields ⋮ Configurations of rectangles in \(\mathbb{F}_q^2\) ⋮ A note on character sums with polynomial arguments. ⋮ A Gauss sum estimate in arbitrary finite fields ⋮ Improved bounds on Gauss sums in arbitrary finite fields

Cites Work

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• Estimates of Gaussian sums
• Character sums and abelian Ramanujan graphs (with an appendix by Keqin Feng and Wen-Ch'ing Winnie Li)
• On the correlation of binary \(M\)-sequences
• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
• New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum
• On the statistical properties of Diffie-Hellman distributions

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