Value sets of polynomials and the Cauchy-Davenport theorem.

DOI10.1016/S1071-5797(03)00047-9zbMath1039.11089MaRDI QIDQ1418188

Pinaki Das

Publication date: 19 January 2004

Published in: Finite Fields and their Applications (Search for Journal in Brave)

zbMATH Keywords

Cauchy-Davenport theorempolynomials over finite fieldssum of setsfinite sequences of field elementsvalue sets of polynomials

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Congruences; primitive roots; residue systems (11A07) Special sequences and polynomials (11B83)

Related Items (1)

On value sets of polynomials over a field

Cites Work

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• Generalized derivations and additive theory
• The number of permutation polynomials of a given degree over a finite field
• The number of polynomials of a given degree over a finite field with value sets of a given cardinality
• The polynomial method and restricted sums of congruence classes
• Sums of Powers in Large Finite Fields
• Combinatorial Nullstellensatz
• Value Sets of Polynomials Over Finite Fields
• A note on Waring's problem in finite fields

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