Some examples of Mahler measures as multiple polylogarithms

DOI10.1016/S0022-314X(03)00101-XzbMath1032.11029arXivmath/0308075OpenAlexW2054404939MaRDI QIDQ1415369

Matilde N. Lalín

Publication date: 3 December 2003

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

Full work available at URL: https://arxiv.org/abs/math/0308075

zbMATH Keywords

\(L\)-functionsMahler measurepolylogarithms

Mathematics Subject Classification ID

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

Related Items (12)

Zeta Mahler measures ⋮ A study of inverse trigonometric integrals associated with three-variable Mahler measures, and some related identities ⋮ On the Mahler measure of resultants in small dimensions ⋮ Multiple \(q\)-Mahler measures and zeta functions ⋮ Hasse-Weil zeta functions of \(\mathrm{SL}_2\)-character varieties of arithmetic two-bridge link complements ⋮ Mahler measures and computations with regulators ⋮ Mahler's measure for polynomials in several variables ⋮ -adic Mahler measure and -covers of links ⋮ A new method for obtaining polylogarithmic Mahler measure formulas ⋮ Volume function and Mahler measure of exact polynomials ⋮ The Mahler measure for arbitrary tori ⋮ Mahler measure of some \(n\)-variable polynomial families

Cites Work

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• A formula for the Mahler measure of \(axy+bx+cy+d\)
• Mahler’s Measure and the Dilogarithm (I)
• On Measures of Polynomials in Several Variables: Corrigendum
• Speculations Concerning the Range of Mahler's Measure
• Mahler's Measure and Special Values of L-functions
• Géométrie d'Arakelov des variétés toriques et fibrés en droites intégrables

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