Sum-Product Estimates Applied to Waring's Problem over Finite Fields

DOI10.1515/integ.2011.109zbMath1264.11087OpenAlexW2064709692MaRDI QIDQ2898392

James Arthur Cipra, Todd Cochrane

Publication date: 11 July 2012

Published in: Integers (Search for Journal in Brave)

Full work available at URL: http://www.integers-ejcnt.org/vol11.html

zbMATH Keywords

finite fieldsWaring's problemsum-product estimatesadditive characters

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Polynomials over finite fields (11T06) Estimates on character sums (11L40) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (6)

Bounds for the diameters of orbital graphs of affine groups ⋮ Waring problem for matrices over finite fields ⋮ On the Odlyzko-Stanley enumeration problem and Waring's problem over finite fields ⋮ Counting compositions over finite abelian groups ⋮ Bounds for Waring's number mod \(\mathcal P^m\) in number fields ⋮ Sparse affine-invariant linear codes are locally testable

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