Three-variable Mahler measures and special values of \(L\)-functions of modular forms

DOI10.1007/s11139-019-00209-1zbMath1468.11221OpenAlexW3006258651MaRDI QIDQ829867

Hourong Qin, Yuzhen Peng, Xue Jun Guo

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/s11139-019-00209-1

zbMATH Keywords

newformLaurent polynomialsmodular formsMahler measurespecial values of \(L\)-functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Generalized hypergeometric series, ({}_pF_q) (33C20) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (3)

Mahler measure of 3D Landau-Ginzburg potentials ⋮ The Mahler measure of \((x+1/x)(y+1/y)(z+1/z)+\sqrt{k}\) ⋮ On conjectures of Samart

Uses Software

• SageMath

Cites Work

• Three-variable Mahler measures and special values of modular and Dirichlet \(L\)-series
• The Mahler measure for \(K3\) hypersurfaces
• New \(_{5}F_{4}\) hypergeometric transformations, three-variable Mahler measures, and formulas for \(1/ \pi \)
• On the Mahler Measure of 1+X+1/X+Y +1/Y
• On Measures of Polynomials in Several Variables: Corrigendum
• 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
• On the singular values of Weber modular functions
• Mahler Measures as Linear Combinations ofL–values of Multiple Modular Forms
• Weber's class invariants
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