Color Partition Identities Arising from Ramanujan’s Theta-Functions
M. S. Mahadeva Naika
,
B. Hemanthkumar
,
H. S. Sumanth Bharadwaj
Abstract
We establish several partition identities with distinct colors that arise from Ramanujan’s theta-function identities and formulas for multipliers in the theory of modular equations. Also, we deduce few partition congruences as a corollary of some partition identities.