The absolute trace of totally positive algebraic integers
Copyright policy )The absolute trace of totally positive algebraic integers
Thanks to our recursive algorithm developed in [Trace of totally positive algebraic integers and integer transfinite diameter, Math. Comp. 78(266) (2009) 1119–1125], we prove that, if [Formula: see text] is a totally positive algebraic integer of degree [Formula: see text] with minimum conjugate [Formula: see text] then, with a finite number of explicit exceptions, [Formula: see text]
recursive algorithm, PV-numbers and generalizations; other special algebraic numbers; Mahler measure, Totally real fields, Algebraic number theory computations, trace, [MATH] Mathematics [math], special algebraic numbers, totally positive algebraic integers, Polynomials in number theory, Trace, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
recursive algorithm, PV-numbers and generalizations; other special algebraic numbers; Mahler measure, Totally real fields, Algebraic number theory computations, trace, [MATH] Mathematics [math], special algebraic numbers, totally positive algebraic integers, Polynomials in number theory, Trace, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
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