Ramanujan's Eisenstein series of level 7 and 14

DOI10.1016/j.jnt.2015.07.019zbMath1400.11096OpenAlexW1472886232MaRDI QIDQ746929

R. G. Veeresha, K. R. Vasuki

Publication date: 21 October 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.07.019

zbMATH Keywords

Eisenstein seriesDedekind eta-functiontheta-functionsbilateral basic hypergeometric series

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items

On Ramanujan's incomplete elliptic integral identities, On Gosper's \(\mathit{\Pi}_q\) and Lambert series identities, EVALUATION OF CONVOLUTION SUMS AND FOR k = a · b = 21, 33, AND 35, Classical approach to Ramanujan's modular equations of septic degree, An elementary approach to Eisenstein series identities of Huber, Schultz and Ye, Analytical approach to Ramanujan type and Ramanujan’s modular equations of degree 7, Trigonometric sums through Ramanujan's theory of theta functions

Cites Work

• Some Eisenstein series identities related to modular equations of the seventh order.
• On Ramanujan's modular equation of degree 7
• Level 14 and 15 analogues of Ramanujan’s elliptic functions to alternative bases
• SERIES OF HYPERGEOMETRIC TYPE WHICH ARE INFINITE IN BOTH DIRECTIONS
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