On divisors of sums of polynomials

On divisors of sums of polynomials

Let A and B be sets of polynomials of degree n over a finite field. We show, that if A and B are large enough, then A+B has an irreducible divisor of large degree for some A∈A and B∈B.

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Veröffentlicht in:Finite fields and their applications 2022-10, Vol.83, p.102090, Article 102090
1. Verfasser: Mérai, László
Format: Artikel
Sprache:eng
Schlagworte:
Exponential sums
Finite field
Polynomial
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Zusammenfassung:Let A and B be sets of polynomials of degree n over a finite field. We show, that if A and B are large enough, then A+B has an irreducible divisor of large degree for some A∈A and B∈B.
ISSN:1071-5797
1090-2465
DOI:10.1016/j.ffa.2022.102090