A complete solution to the polynomial 3-primes problem

DOI10.1090/S0273-0979-1991-16035-0zbMath0724.11065MaRDI QIDQ5202276

David R. Hayes, Gove Effinger

Publication date: 1991

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite fieldPolynomial 3-Primes Theoremsum of three irreducible monic polynomialsVinogradov's Theorem

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (4)

REPRESENTING AN ELEMENT IN AS THE SUM OF TWO IRREDUCIBLES ⋮ David R. Hayes: some remarks on his life and work ⋮ Irreducibility of a polynomial shifted by a power of another polynomial ⋮ The Goldbach \(3\)-primes property for polynomial rings over certain infinite fields

Cites Work

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• A Goldbach 3-primes theorem for polynomials of low degree over finite fields of characteristic 2
• A Goldbach theorem for polynomials of low degree over odd finite fields
• Sur l'approximation du nombre de solutions de certaines équations diophantiennes
• The Distribution of Irreducibles in GF [ q,x ]
• The expression of a polynomial as a sum of three irreducibles

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