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

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 40

Volume : 11 , Issue : 2
DOI: https://doi.org/10.56827/JRSMMS.2024.1102.3
Author :
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)

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 fraction, Eisenstein series, combinatorial partition identities.

A.M.S. subject classification

11A55, 11M36, 11P83.

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