The Mahler measure of a Weierstrass form

DOI10.1142/S1793042117501196zbMath1398.11133MaRDI QIDQ5357501

Frank Ramamonjisoa, Matilde N. Lalín

Publication date: 8 September 2017

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

zbMATH Keywords

elliptic curveMahler measurespecial values of \(L\)-functionselliptic regulator

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 (4)

The Mahler measure of x + 1/x + y + 1/y + 4 ± 42 and Beilinson’s conjecture ⋮ Identities of Mahler measures of certain polynomials defining curves of arbitrary genus ⋮ Mahler measures of a family of non-tempered polynomials and Boyd's conjectures ⋮ Mahler measure of a non-tempered Weierstrass form

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