Eisenstein series and elliptic functions on \(\Gamma _{0}(10)\)

DOI10.1016/j.aam.2009.12.007zbMath1267.11037OpenAlexW1975652874MaRDI QIDQ534190

Shaun Cooper, Heung Yeung Lam

Publication date: 17 May 2011

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2009.12.007

zbMATH Keywords

modular formEisenstein seriestheta functionDedekind's eta-functionelliptic functionRamanujan's second notebook

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Elliptic functions and integrals (33E05)

Related Items (3)

Factorizations that involve Ramanujan's function \(k(q)=r(q)r^2(q^2)\) ⋮ Theta functions and Eisenstein series ⋮ \(L\)-values for conductor 32

Cites Work

• On Ramanujan's function \(k(q)=r(q)r^{2}(q^{2})\)
• Two modular equations for squares of the Rogers-Ramanujan functions with applications
• Elliptic functions to the quintic base
• Some theorems on the Rogers-Ramanujan continued fraction and associated theta function identities in Ramanujan's Lost Notebook
• Eisenstein series and theta functions to the septic base
• CONSTRUCTION OF EISENSTEIN SERIES FOR Γ₀(p)
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