On Waring's problem in finite fields

DOI10.4064/aa-87-2-171-177zbMath0924.11083OpenAlexW825458747MaRDI QIDQ4236023

Arne Winterhof

Publication date: 15 November 1999

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/207212

zbMATH Keywords

finite fieldsWaring problemextension of Chowla-Mann-Straus bound

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Finite fields and commutative rings (number-theoretic aspects) (11T99)

Related Items (11)

Sums of commuting potent and nilpotent elements in rings ⋮ On Existence (Based on an Arithmetical Problem) and Constructions of Bent Functions ⋮ The Waring's problem over finite fields through generalized Paley graphs ⋮ Waring problem for matrices over finite fields ⋮ Waring numbers over finite commutative local rings ⋮ An analogue of Furstenberg-Sárközy's theorem and an alternative solution to Waring's problem over finite fields ⋮ On systems of linear and diagonal equation of degree \(p^i+1\) over finite fields of characteristic \(p\) ⋮ Waring's problem in finite rings ⋮ On the Waring problem with Dickson polynomials in finite fields ⋮ Polynomial quotients: Interpolation, value sets and Waring's problem ⋮ A reduction formula for Waring numbers through generalized Paley graphs

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