A Gauss sum estimate in arbitrary finite fields

DOI10.1016/j.crma.2006.01.022zbMath1127.11081OpenAlexW2017760303MaRDI QIDQ2499664

Mei-Chu Chang, Jean Bourgain

Publication date: 14 August 2006

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.01.022

zbMATH Keywords

Exponential sums over finite fields

Mathematics Subject Classification ID

Exponential sums (11T23)

Related Items (12)

Exponential sums in prime fields for modular forms ⋮ The recurrence formula for the number of solutions of a equation in finite field ⋮ On minimum norm of representatives of residue classes in number fields ⋮ Index bounds for character sums of polynomials over finite fields ⋮ Filament plots for data visualization ⋮ On a problem of Arnold on uniform distribution ⋮ Extremal values for the sum \(\sum^\tau_{r=1} e(a2^r/q)\) ⋮ Distribution questions for trace functions with values in cyclotomic integers and their reductions ⋮ Exponential sum estimates in finite commutative rings and applications ⋮ The sum-product theorem in \(\mathbb Z_q\) with \(q\) arbitrary ⋮ Improved bounds on Gauss sums in arbitrary finite fields ⋮ Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition

Cites Work

• A sum-product estimate in finite fields, and applications
• Exponential sum estimates over subgroups and almost subgroups of \(\mathbb Z_Q^*\), where \(Q\) is composite with few prime factors
• Bounds of Gauss sums in finite fields
• ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER
• Unnamed Item

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