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arXiv · 2509.07169

On a pair of three-colored (mod 10) partition identities

Matthew C. Russell
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Abstract

We prove a pair of (mod 10) partition identities. The sum sides involve three-colored partitions into distinct parts, while the product sides are the generating functions for distinct partitions times the Rogers-Ramanujan products. Our proofs make heavy use of Maple to verify that functional equations are satisfied.

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Matthew C. Russell. 2025-09-08. On a pair of three-colored (mod 10) partition identities. https://arxiv.org/abs/2509.07169

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