ON A CONJECTURE BY BOYD

DOI10.1142/S1793042110003174zbMath1201.11098arXiv0908.1435WikidataQ123001432 ScholiaQ123001432MaRDI QIDQ3566647

Matilde N. Lalín

Publication date: 8 June 2010

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

Full work available at URL: https://arxiv.org/abs/0908.1435

zbMATH Keywords

elliptic curveMahler measureregulatorelliptic dilogarithm

Mathematics Subject Classification ID

Polynomials (irreducibility, etc.) (11R09) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Related Items

Equations for Mahler measure and isogenies ⋮ Mahler Measure of Families of Polynomials Defining Genus 2 and 3 Curves ⋮ The Mahler measure of a Weierstrass form ⋮ A shifted Mahler measure identity for Boyd’s family ⋮ Identities of Mahler measures of certain polynomials defining curves of arbitrary genus ⋮ Regulator of modular units and Mahler measures ⋮ Mahler measure of a non-tempered Weierstrass form ⋮ Further explorations of Boyd's conjectures and a conductor 21 elliptic curve ⋮ A functional identity for Mahler measures of non-tempered polynomials ⋮ Mahler measure and the WZ algorithm

Cites Work

• Functional equations for Mahler measures of genus-one
• Mahler's Measure and Special Values of L-functions
• Deligne periods of mixed motives, $K$-theory and the entropy of certain $\mathbb {Z}^n$-actions
• Higher Regulators, Algebraic 𝐾-Theory, and Zeta Functions of Elliptic Curves

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