Sums of heights of algebraic numbers

DOI10.1090/S0025-5718-02-01481-3zbMath1013.11066MaRDI QIDQ4806400

Gregory Dresden

Publication date: 14 May 2003

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

Weil heightalgebraic numbers

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Algebraic numbers; rings of algebraic integers (11R04) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Totally real fields (11R80)

Cites Work

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• Zhang-Zagier heights of perturbed polynomials
• On the length of totally positive algebraic integers
• Positive line bundles on arithmetic surfaces
• Algebraic Numbers Close to Both 0 and 1
• Orbits of algebraic numbers with low heights
• On the spectrum of the Zhang-Zagier height
• Two new points in the spectrum of the absolute Mahler measure of totally positive algebraic integers
• On the Mahler measure of the composition of two polynomials