Integer transfinite diameter and polynomials with small Mahler measure期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Integer transfinite diameter and polynomials with small Mahler measure

Authors:	Valé rie Flammang Georges Rhin Jean-Marc Sac-É pé e.

Affiliation:	UMR CNRS 7122, Département de Mathématiques, UFR MIM, Université de Metz, Ile du Saulcy, 57045 Metz Cedex 01, France ; UMR CNRS 7122, Département de Mathématiques, UFR MIM, Université de Metz, Ile du Saulcy, 57045 Metz Cedex 01, France ; UMR CNRS 7122, Département de Mathématiques, UFR MIM, Université de Metz, Ile du Saulcy, 57045 Metz Cedex 01, France

Abstract:	In this work, we show how suitable generalizations of the integer transfinite diameter of some compact sets in give very good bounds for coefficients of polynomials with small Mahler measure. By this way, we give the list of all monic irreducible primitive polynomials of of degree at most with Mahler measure less than and of degree and with Mahler measure less than .

Keywords:	Mahler measure integer transfinite diameter explicit auxiliary function

	点击此处可从《Mathematics of Computation》浏览原始摘要信息
	点击此处可从《Mathematics of Computation》下载全文