Elliptic dilogarithms and parallel lines
From MaRDI portal
Publication:2315973
DOI10.1016/j.jnt.2019.03.019zbMath1464.11112arXiv1207.4722OpenAlexW2964021021MaRDI QIDQ2315973
Publication date: 26 July 2019
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1207.4722
Elliptic curves over global fields (11G05) Algebraic number theory computations (11Y40) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)
Related Items
The Mahler measure of a genus 3 family ⋮ On the Mahler measure of a family of genus 2 curves ⋮ Equations for Mahler measure and isogenies ⋮ A numerical approach toward the \(p\)-adic Beilinson conjecture for elliptic curves over \(\mathbb{Q}\) ⋮ Mahler Measure of Families of Polynomials Defining Genus 2 and 3 Curves ⋮ The Mahler measure of a Weierstrass form ⋮ Regulator proofs for Boyd’s identities on genus 2 curves ⋮ 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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Explicit version of Beilinson's theorem for the modular curve \(X_{1}(N)\)
- The Bloch-Wigner-Ramakrishnan polylogarithm function
- Functional equations for Mahler measures of genus-one
- Higher regulators and values of \(L\)-functions
- Zagier's conjecture on \(L(E,2)\)
- Hecke operators on \(\Gamma_0(m)\)
- On the Mahler Measure of 1+X+1/X+Y +1/Y
- Hypergeometric Formulas for Lattice Sums and Mahler Measures
- Deligne periods of mixed motives, $K$-theory and the entropy of certain $\mathbb {Z}^n$-actions
- Eta-quotients and elliptic curves
- 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
- Regulators of Siegel units and applications
