The Mahler measure of a genus 3 family
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Publication:829655
DOI10.1007/s11139-019-00241-1zbMath1468.11222OpenAlexW3034795274MaRDI QIDQ829655
Publication date: 6 May 2021
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-019-00241-1
Elliptic curves over global fields (11G05) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) 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)
Related Items (2)
Mahler Measure of Families of Polynomials Defining Genus 2 and 3 Curves ⋮ A shifted Mahler measure identity for Boyd’s family
Uses Software
Cites Work
- On the Mahler measure of a family of genus 2 curves
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- Factorization of certain cyclotomic functions
- Elliptic dilogarithms and parallel lines
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- On Measures of Polynomials in Several Variables: Corrigendum
- Speculations Concerning the Range of Mahler's Measure
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- 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
- Regulator proofs for Boyd’s identities on genus 2 curves
- FromL-series of elliptic curves to Mahler measures
- Regulator of modular units and Mahler measures
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