An analogue of Furstenberg-Sárközy's theorem and an alternative solution to Waring's problem over finite fields

DOI10.1016/j.exmath.2022.10.003OpenAlexW4308560143WikidataQ121761786 ScholiaQ121761786MaRDI QIDQ2694999

Yeşim Demiroğlu Karabulut

Publication date: 30 March 2023

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2022.10.003

zbMATH Keywords

Waring's problemspectral graph theorySárközy's theorem

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Directed graphs (digraphs), tournaments (05C20)

Cites Work

• Unnamed Item
• Spectra of graphs
• Waring's problem in finite rings
• Sums of m-th powers in algebraic and Abelian number fields
• Sums of \(n\)-th powers in fields of prime characteristic
• Sums of Powers in Large Finite Fields
• Waring's Problem \opertornameMod n
• Solution of Waring's Problem \opertornameMod n
• On Waring's problem in finite fields
• Numbers of solutions of equations in finite fields

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