Volume no :17, Issue no: 1, February (2017)

Journal of Pure and Applied Mathematics: Advances and Applications

A SHORT NOTE ON THE MAHLER MEASURE AND LEHMER'S CONJECTURE

Author's: Ali H. Hakami
Pages: [47] - [60]
Received Date: February 5, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100121768

Abstract

Let k be an algebraic number field and be a polynomial in In this short paper, we shall consider the problem of the equivalence between best possible upper bounds for the number of non-cyclotomic factors of a polynomial in and optimal lower bounds for the Mahler measure of an irreducible, non-cyclotomic polynomials in

Keywords

non-cyclotomic polynomials, heights, Mahler measure, Lehmer’s problem.