Asymptotic expansion of the difference of two Mahler measures

DOI10.1016/j.jnt.2012.02.022zbMath1281.11094arXiv1111.0241OpenAlexW2963925374MaRDI QIDQ432468

John D. Condon

Publication date: 4 July 2012

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

Full work available at URL: https://arxiv.org/abs/1111.0241

zbMATH Keywords

polylogarithmasymptotic expansionMahler measurepolynomiallimit point

Mathematics Subject Classification ID

Polynomials (irreducibility, etc.) (11R09) Polylogarithms and relations with (K)-theory (11G55)

Related Items

Unnamed Item ⋮ THE MAHLER MEASURE OF TRINOMIALS OF HEIGHT 1 ⋮ Mahler's measure for polynomials in several variables

Uses Software

• Mathematica
• PARI/GP
• SageMath

Cites Work

• PARI/GP
• A problem of Boyd concerning geometric means of polynomials
• On the differences and sums of periodic measurable functions
• Factorization of certain cyclotomic functions
• On Some Inequalities for Polynomials in Several Variables
• Speculations Concerning the Range of Mahler's Measure
• Deligne periods of mixed motives, $K$-theory and the entropy of certain $\mathbb {Z}^n$-actions
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