Certain families of elliptic functions defined by \(q\)-series

DOI10.1007/S11139-005-3503-8zbMath1151.11044OpenAlexW1964407206MaRDI QIDQ850505

Nobushige Kurokawa, Masato Wakayama

Publication date: 3 November 2006

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-005-3503-8

zbMATH Keywords

algebraic differential equationsEisenstein serieselliptic functionsWeierstrass \(\wp\)-function

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Elliptic functions and integrals (33E05)

Related Items (1)

Non-linear algebraic differential equations satisfied by a certain family of elliptic functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(q\)-gamma function for \(q>1\)
• Generalized zeta regularizations, quantum class number formulas, and Appell's \(O\)-functions
• Multiple sine functions
• On 𝑞-analogues of the Euler constant and Lerch’s limit formula
• A VARIATION OF EULER′S APPROACH TO VALUES OF THE RIEMANN ZETA FUNCTION
• ZETA REGULARIZATIONS AND <i>q</i>-ANALOGUE OF RING SINE FUNCTIONS

This page was built for publication: Certain families of elliptic functions defined by \(q\)-series