Modular Arithmetic Analysis of Rogers-Ramanujan Identities: Modulo 9, 11, 18 and 22

Authors

  • Hafiz Umar Assistant Professor, Department of Mathematics, F. A. Ahmed College, Garoimari, Kamrup, Assam, India

DOI:

https://doi.org/10.53469/jerp.2026.08(03).09

Keywords:

Rogers-Ramanujan Type Identities, Jacobi’s Triple Product Identity, Bailey Pairs

Abstract

In this paper, some identities of Rogers_Ramanujan Type related to modulo 9, 11, 18 and 22 is derived with the incorporation of generalized Bailey pairs and some standard results established by Andrew V. Sills [1] using some q − difference relations.

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Published

2026-03-30

How to Cite

Umar, H. (2026). Modular Arithmetic Analysis of Rogers-Ramanujan Identities: Modulo 9, 11, 18 and 22. Journal of Educational Research and Policies, 8(3), 44–49. https://doi.org/10.53469/jerp.2026.08(03).09

Issue

Vol. 8 No. 3 (2026)

Section

Articles

License

Copyright (c) 2026 Hafiz Umar

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.


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