Further explorations of Boyd's conjectures and a conductor 21 elliptic curve

DOI10.1112/jlms/jdv073zbMath1337.11072arXiv1507.08743OpenAlexW2147415203WikidataQ123353347 ScholiaQ123353347MaRDI QIDQ2801736

Wadim Zudilin, Detchat Samart, Matilde N. Lalín

Publication date: 21 April 2016

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08743

zbMATH Keywords

elliptic curve\(L\)-functionMahler measureelliptic integralBoyd's conjecture

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) Elliptic functions and integrals (33E05) Elliptic and modular units (11G16) Elliptic integrals as hypergeometric functions (33C75)

Related Items (5)

Identities of Mahler measures of certain polynomials defining curves of arbitrary genus ⋮ Mahler's measure for polynomials in several variables ⋮ Mahler measures of a family of non-tempered polynomials and Boyd's conjectures ⋮ Mahler measure of a non-tempered Weierstrass form ⋮ A functional identity for Mahler measures of non-tempered polynomials

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mahler measure and elliptic curve \(L\)-functions at \(s = 3\)
• Functional equations for Mahler measures of genus-one
• Properties of bases of some Köthe spaces and their subspaces
• Ramanujan's modular equations and Atkin-Lehner involutions
• On the Mahler Measure of 1+X+1/X+Y +1/Y
• ON A CONJECTURE BY BOYD
• 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
• FromL-series of elliptic curves to Mahler measures
• Regulator of modular units and Mahler measures

This page was built for publication: Further explorations of Boyd's conjectures and a conductor 21 elliptic curve