Explicit constructions of Diophantine tuples over finite fields

DOI10.1007/S11139-024-00888-5MaRDI QIDQ6612392

Semin Yoo, Chi Hoi Yip, Seo Young Kim

Publication date: 30 September 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

zbMATH Keywords

character sumcyclotomic polynomialDiophantine tuples

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Other character sums and Gauss sums (11T24) Special sequences and polynomials (11B83) Diophantine equations in many variables (11D72)

Cites Work

• Diophantine \(m\)-tuples in finite fields and modular forms
• Topics in multiplicative number theory
• A survey on coefficients of cyclotomic polynomials
• On a problem of Diophantus
• On the size of Diophantine \(m\)-tuples
• CLIQUE NUMBERS OF PALEY GRAPHS
• There are only finitely many Diophantine quintuples
• There is no Diophantine quintuple
• Bounds for the size of sets with the property D(n)
• Conditional bounds for the least quadratic non-residue and related problems
• Diophantine tuples over $\mathbb {Z}_p$
• k-Diophantine m-tuples in finite fields
• On the number of Diophantine \(m\)-tuples in finite fields

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