On polynomials with only rational roots

Lajos Hajdu, Robert Tijdeman, Nóra Varga

Type: Article

Publication Date: 2023-06-09

Citations: 0

DOI: https://doi.org/10.1112/mtk.12209

Abstract

Abstract In this paper, we study upper bounds for the degrees of polynomials with only rational roots. First, we assume that the coefficients are bounded. In the second theorem, we suppose that the primes 2 and 3 do not divide any coefficient. The third theorem concerns the case that all coefficients are composed of primes from a fixed finite set.

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Mathematika - View - PDF

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