ON THE SOLVABILITY OF SYSTEMS OF SUM–PRODUCT EQUATIONS IN FINITE FIELDS

DOI10.1017/S0017089511000425zbMath1229.11058MaRDI QIDQ3094631

Le Anh Vinh

Publication date: 25 October 2011

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

non-linear diophantine equations

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Diophantine equations (11D99)

Related Items (2)

The sovability of norm, bilinear and quadratic equations over finite fields via spectra of graphs ⋮ A Szemerédi-Trotter type theorem, sum-product estimates in finite quasifields, and related results

Cites Work

• Equations in finite fields with restricted solution sets. II: Algebraic equations
• Ubiquity of simplices in subsets of vector spaces over finite fields
• Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture
• On the solvability of systems of bilinear equations in finite fields
• The sum-product estimate for large subsets of prime fields

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