On the solvability of systems of bilinear equations in finite fields

DOI10.1090/S0002-9939-09-09947-XzbMath1185.11050arXiv0903.1156OpenAlexW2964228175MaRDI QIDQ3395559

Le Anh Vinh

Publication date: 11 September 2009

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

Full work available at URL: https://arxiv.org/abs/0903.1156

zbMATH Keywords

finite fieldscharacter sumsbilinear equations

Mathematics Subject Classification ID

Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Estimates on character sums (11L40) Bilinear and Hermitian forms (11E39)

Related Items (4)

The sovability of norm, bilinear and quadratic equations over finite fields via spectra of graphs ⋮ On the complexity of solving generic overdetermined bilinear systems ⋮ Simplices over finite fields ⋮ ON THE SOLVABILITY OF SYSTEMS OF SUM–PRODUCT EQUATIONS IN FINITE FIELDS

Cites Work

• On a Furstenberg-Katznelson-Weiss type theorem over finite fields
• Equations in finite fields with restricted solution sets. II: Algebraic equations
• Ubiquity of simplices in subsets of vector spaces over finite fields
• Heilbronn's conjecture on Waring's number (mod \(p\))
• Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture
• On k-simplexes in (2k-1)-dimensional vector spaces over finite fields
• ON THE SOLVABILITY OF BILINEAR EQUATIONS IN FINITE FIELDS
• Sums and products in finite fields: an integral geometric viewpoint
• Numbers of solutions of equations in finite fields
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