On the existence of infinite, non-trivial \(F\)-sets

DOI10.1016/j.jnt.2016.03.024zbMath1377.11008arXiv1602.06608OpenAlexW2285866452MaRDI QIDQ301404

Andrea Ferraguti, Giacomo Micheli

Publication date: 30 June 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.06608

zbMATH Keywords

finite fieldspolynomials\(F\)-sets

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Arithmetic theory of polynomial rings over finite fields (11T55) Primes (11A41)

Related Items (4)

On a conjecture on irreducible polynomials over finite fields with restricted coefficients ⋮ Full orbit sequences in affine spaces via fractional jumps and pseudorandom number generation ⋮ Irreducible polynomials over finite fields produced by composition of quadratics ⋮ On Sets of Irreducible Polynomials Closed by Composition

Cites Work

• Unnamed Item
• An iterative construction of irreducible polynomials reducible modulo every prime
• Settled polynomials over finite fields
• Primary cyclotomic units and a proof of Catalans conjecture
• Special Sets of Primes in Function Fields
• Unsolved problems in number theory

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