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May 2011 Two congruences involving Andrews-Paule’s broken 3-diamond partitions and 5-diamond partitions
Xinhua Xiong
Proc. Japan Acad. Ser. A Math. Sci. 87(5): 65-68 (May 2011). DOI: 10.3792/pjaa.87.65

Abstract

In this note, we will prove two congruences involving broken 3-diamond partitions and broken 5-diamond partitions. The two congruences were conjectured by Peter Paule and Silviu Radu in 2009.

Citation

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Xinhua Xiong. "Two congruences involving Andrews-Paule’s broken 3-diamond partitions and 5-diamond partitions." Proc. Japan Acad. Ser. A Math. Sci. 87 (5) 65 - 68, May 2011. https://doi.org/10.3792/pjaa.87.65

Information

Published: May 2011
First available in Project Euclid: 26 April 2011

zbMATH: 1256.11055
MathSciNet: MR2803892
Digital Object Identifier: 10.3792/pjaa.87.65

Subjects:
Primary: 11F33 , 11P83

Keywords: Broken diamond partitions , congruences , modular forms

Rights: Copyright © 2011 The Japan Academy

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Vol.87 • No. 5 • May 2011
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