Lower bounds for heights in cyclotomic extensions

DOI10.1016/j.jnt.2010.01.014zbMath1203.11072OpenAlexW2017107324MaRDI QIDQ977131

Benjamin Wiles, M. I. M. Ishak, Michael J. Mossinghoff, Christopher G. Pinner

Publication date: 18 June 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.01.014

zbMATH Keywords

Mahler measureheightsLehmer's problem

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (3)

Lehmer's conjecture for polynomials satisfying a congruence divisibility condition and an analogue for elliptic curves ⋮ Heights of roots of polynomials with odd coefficients ⋮ ON A THEOREM OF GARZA REGARDING ALGEBRAIC NUMBERS WITH REAL CONJUGATES

Cites Work

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• A result of Schinzel
• A lower bound for the height in abelian extensions
• Lehmer's problem for polynomials with odd coefficients
• On a question of Lehmer and the number of irreducible factors of a polynomial
• A uniform relative Dobrowolski's lower bound over abelian extensions
• On the height of algebraic numbers with real conjugates
• Auxiliary polynomials for some problems regarding Mahler's measure
• The Mahler measure of dihedral extensions

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