Congruences for Broken k-Diamond Partitions
Marie Jameson
TL;DR
This paper proves two conjectures related to broken k-diamond partitions, advancing the understanding of their mathematical properties and structure.
Contribution
It provides formal proofs for two conjectures previously posed by Paule and Radu regarding broken k-diamond partitions.
Findings
Confirmed conjectures of Paule and Radu
Enhanced understanding of broken k-diamond partition properties
Established new mathematical identities
Abstract
We prove two conjectures of Paule and Radu from their recent paper on broken k-diamond partitions.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Analytic Number Theory Research