RELATIONS BETWEEN MOCK THETA FUNCTIONS AND COMBINATORIAL PARTITION IDENTITIES

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 146

Volume : 10 , Issue : 1
DOI: https://doi.org/10.56827/JRSMMS.2022.1001.6
Author :
M. P. Chaudhary (International Scientific Research and Welfare Organization, (Albert Einstein Chair Professor of Mathematical Sciences), New Delhi - 110018, INDIA)
Salem Guiben (Faculty of Science of Monastir, Department of Mathematics, 5000 Monastir, TUNISIA)
Kamel Mazhouda (University of Sousse, Higher Institute of Applied Sciences and Technology, 4003 Sousse, Tunisia, and, Universite Polytechnique Hauts-De-France, Labora)

Abstract

The main object of this paper is to present 6 new interrelationships between mock theta functions and combinatorial partition identities. The results presented in this paper are motivated by some recent works by M.P.Chaudhary [6].

Keywords and Phrases

Mock theta functions, q-product identities, q-series.

A.M.S. subject classification

Primary 11P82, 11P84; Secondary 05A17.

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