Parity results for broken 11-diamond partitions

DOI10.1515/math-2019-0031zbMath1464.11108OpenAlexW2945102407WikidataQ127862610 ScholiaQ127862610MaRDI QIDQ2278371

Yun Jian Wu

Publication date: 5 December 2019

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2019-0031

zbMATH Keywords

congruencebroken \(k\)-diamond partitionparity results

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Cites Work

• Infinite families of congruences modulo 7 for broken 3-diamond partitions
• More infinite families of congruences modulo 5 for broken 2-diamond partitions
• New parity results for broken 11-diamond partitions
• New congruences modulo powers of 2 for broken 3-diamond partitions and 7-core partitions
• Note on the parity of broken 11-diamond partitions
• Infinite families of strange partition congruences for broken 2-diamonds
• An extensive analysis of the parity of broken 3-diamond partitions
• Modular forms whose coefficients possess multiplicative properties
• Congruences modulo 64 and 1024 for overpartitions
• Newman's identity and infinite families of congruences modulo 7 for broken 3-diamond partitions
• Parity results for broken k-diamond partitions and (2k+1)-cores
• MacMahon's partition analysis XI: Broken diamonds and modular forms
• Proofs of some conjectures of Sun on the relations between sums of squares and sums of triangular numbers
• Parity results for broken 5-diamond, 7-diamond and 11-diamond partitions

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