Some Congruences for the Coefficients of Rogers–Ramanujan Type Identities

Vasudha Gupta and Meenakshi Rana ()
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Vasudha Gupta: School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, Punjab, India
Meenakshi Rana: School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, Punjab, India

Mathematics, 2022, vol. 10, issue 19, 1-23

Abstract: We examine a few mathematical characteristics of Rogers–Ramanujan type identities as a follow-up work. Recently authors interpreted Rogers–Ramanujan type identities combinatorially using signed color partitions. In the present study, we discovered several congruences for the coefficients of powers of q that are in arithmetic progressions modulo powers of 2 and 3.

Keywords: combinatorics; combinatorial congruences; Rogers–Ramanujan type identities (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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