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Color Partition Identities Arising from Ramanujan’s Theta-Functions

$icon-email$ 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.

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Color Partition Identities Arising from Ramanujan’s Theta-Functions

Abstract