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math.NT2026
Finding New Limit Points of Mahler Measure by Methods of Missing Data Restoration
Jean-Marc Sac-Épée, Souad El Otmani, Armand Maul +1
It is well known that the set of Mahler measures of single variable polynomial has limit points of which a list established by D. Boyd and M. Mossinghoff has been extended through…
math.NT2026
On the existence of Newman and Littlewood multiples for certain integer polynomials
Musbahu Idris, Jean-Marc Sac-Épée
Newman polynomials have coefficients in {0, 1} and constant term 1, whereas Littlewood polynomials have coefficients in {-1, 1}. We study two questions concerning the existence of…
math.NT2026
Algorithmic aspects of Newman polynomials and their divisors
Musbahu Idris, Jean-Marc Sac-Épée
We study the problem of determining which integer polynomials divide Newman polynomials. In this vein, we first give results concerning the known polynomials with Mahler mea…