CERTAIN IDENTITIES ASSOCIATED WITH EISENSTEIN SERIES, G\"{O}LLNITZ--GORDON IDENTITIES AND COMBINATORIAL PARTITION IDENTITIES FOR THE CONTINUED FRACTIONS OF ORDER SIXTEEN

M. P. Chaudhary; A. Vanitha

doi:https://doi.org/10.56827/JRSMMS.2024.1102.3

M. P. Chaudhary International Scientific Research and Welfare Organization (Albert Einstein Chair Professor of Mathematical Sciences) New Delhi - 110018, INDIA

A. Vanitha Department of Mathematics, St. Philomena s College (Autonomous)\ Bannimantap, Mysuru - 570015, INDIA

Volume 11, Issue 2 Pages 55-62 June 30, 2024 146 downloads

Article overview

Abstract

The objective of this paper is to establish six new identities which depict interrelationships between Eisenstein series identities, G\"{o}llnitz--Gordon identities and combinatorial partition identities.

Keywords and Phrases

Continued fractionEisenstein seriescombinatorial partition identities.

AMS Subject Classification

11A55, 11M36, 11P83.

Reference information

How to Cite

M. P. Chaudhary, A. Vanitha (2024). CERTAIN IDENTITIES ASSOCIATED WITH EISENSTEIN SERIES, G\"{O}LLNITZ--GORDON IDENTITIES AND COMBINATORIAL PARTITION IDENTITIES FOR THE CONTINUED FRACTIONS OF ORDER SIXTEEN. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 11(2), 55-62.

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