Notes for Neighborly Partitions

2023/07/13 by Kathleen M O'Hara, O'Hara, Kathleen, Dennis Stanton +1
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.2307.06786

Abstract

A proof of the first Rogers-Ramanujan identity is given using admissible neighborly partitions. This completes a program initiated by Mohsen and Mourtada. The admissible neighborly partitions involve an unusual mod 3 condition on the parts.

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