New Eisenstein series identities for the Ramanujan-Göllnitz-Gordon
continued fraction and combinatorial partition identities
Mahendra Mal Chaudhary\,^1 and Ananda Rathna Kumara Vanitha\,^2
\,^{1} International Scientific Research and Welfare Organization, New Delhi, India.
\,^{2} Department of Mathematics, The National Institute of Engineering, Mysuru 570008, Karnataka, India.
Pages 198-206 | Received 29 August 2024, Accepted 09 March 2025, Published 26 January 2026
Abstract
In this paper, we establish several new Eisenstein series identities associated with Ramanujan-Göllnitz-Gordon continued fraction. We further derive inter relationships between Eisenstein series identities and combinatorial partition identities.
Keywords: Continued fraction, Eisenstein series, combinatorial partition identities.
MSC numbers: Primary 11A55, 11M36; Secondary 11P83.
Downloads: Full-text PDF