RELATIONS BETWEEN MOCK THETA FUNCTIONS AND COMBINATORIAL PARTITION IDENTITIES

M. P. . Chaudhary; Salem . Guiben; Kamel . Mazhouda

doi:10.56827/JRSMMS.2022.1001.6

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, Laboratoire CERAMATHS, FR CNRS 2037, Le Mont Houy, 59313 Valenciennes Cedex 9, FRANCE

DOI: https://doi.org/10.56827/JRSMMS.2022.1001.6

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

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].