Affiliation:
1. East China Normal University
Abstract
Abstract
Broken k-diamond partitions were introduced by Andrews and Paule. Let Δk(n) denote the number of broken k-diamond partitions of n. In 2015, By using the throey of Ramanujan’s theta function, Ahmed and Baruah established some congruences modulo 2 for Δ7(n). In this note, we continue to study the congruence properties of Δ7(n). By using the theory of modular forms, we generalize the congruences proved by Ahmed and Baruah. In addition, we also find two congruences modulo 2 for Δ23(n).
Publisher
Research Square Platform LLC
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