Add to ORKGsummary:The main result of this paper implies that for every positive integer $d\geqslant 2$ there are at least $(d-3)^2/2$ nonconjugate algebraic numbers which have their Mahler measures lying in the interval $(1,2)$. These algebraic numbers are constructed as roots of certain nonreciprocal quadrinomials
International audienceLet α be a nonzero algebraic integer of degree d whose all conjugates α 1 = α,...
summary:We prove that every cyclic cubic extension $E$ of the field of rational numbers contains al...
summary:We prove that every cyclic cubic extension $E$ of the field of rational numbers contains al...
summary:The main result of this paper implies that for every positive integer $d\geqslant 2$ there a...
summary:The main result of this paper implies that for every positive integer $d\geqslant 2$ there a...
This paper proves the existence of an universal nontrivial minorant of the set of the Mahler measure...
This paper proves the existence of an universal nontrivial minorant of the set of the Mahler measure...
We determine the minimal Mahler measure of a primitive, irreducible, noncyclotomic polynomial with i...
Abstract. We investigate upper and lower bounds on the minimal Mahler measure of an irrational numbe...
summary:We prove that every cyclic cubic extension $E$ of the field of rational numbers contains al...
AbstractGiven a rational functionRand a real numberp⩾1, we definehp(R) as theLpnorm of max{log|R|, 0...
In this paper we show that the relative normalised size with respect to a number field K of an algeb...
AbstractLet R=OQ(d) for d<0, squarefree, d≠−1,−3. We prove Lehmerʼs conjecture for associated recipr...
International audienceLet α be a nonzero algebraic integer of degree d whose all conjugates α 1 = α,...
Abstract. We consider upper and lower bounds on the minimal height of an irrational number lying in ...
International audienceLet α be a nonzero algebraic integer of degree d whose all conjugates α 1 = α,...
summary:We prove that every cyclic cubic extension $E$ of the field of rational numbers contains al...
summary:We prove that every cyclic cubic extension $E$ of the field of rational numbers contains al...
summary:The main result of this paper implies that for every positive integer $d\geqslant 2$ there a...
summary:The main result of this paper implies that for every positive integer $d\geqslant 2$ there a...
This paper proves the existence of an universal nontrivial minorant of the set of the Mahler measure...
This paper proves the existence of an universal nontrivial minorant of the set of the Mahler measure...
We determine the minimal Mahler measure of a primitive, irreducible, noncyclotomic polynomial with i...
Abstract. We investigate upper and lower bounds on the minimal Mahler measure of an irrational numbe...
summary:We prove that every cyclic cubic extension $E$ of the field of rational numbers contains al...
AbstractGiven a rational functionRand a real numberp⩾1, we definehp(R) as theLpnorm of max{log|R|, 0...
In this paper we show that the relative normalised size with respect to a number field K of an algeb...
AbstractLet R=OQ(d) for d<0, squarefree, d≠−1,−3. We prove Lehmerʼs conjecture for associated recipr...
International audienceLet α be a nonzero algebraic integer of degree d whose all conjugates α 1 = α,...
Abstract. We consider upper and lower bounds on the minimal height of an irrational number lying in ...
International audienceLet α be a nonzero algebraic integer of degree d whose all conjugates α 1 = α,...
summary:We prove that every cyclic cubic extension $E$ of the field of rational numbers contains al...
summary:We prove that every cyclic cubic extension $E$ of the field of rational numbers contains al...