COMBINATORIAL PROOF OF ONE CONGRUENCE FOR THE BROKEN 1-DIAMOND PARTITION AND A GENERALIZATION

DOI10.1142/S1793042111004022zbMath1225.11130OpenAlexW2149520574MaRDI QIDQ3085108

Shishuo Fu

Publication date: 28 March 2011

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042111004022

zbMATH Keywords

plane partitionbroken 1-diamond partitionRamanujan-like congruence

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (14)

New parity results for broken 11-diamond partitions ⋮ New congruences modulo powers of 2 for broken 3-diamond partitions and 7-core partitions ⋮ Congruence properties for a certain kind of partition functions ⋮ Ramanujan-type congruences for broken 2-diamond partitions modulo 3 ⋮ Congruences for broken 3-diamond and 7 dots bracelet partitions ⋮ CONGRUENCES MODULO POWERS OF 2 FOR FU’S 5 DOTS BRACELET PARTITIONS ⋮ Congruences modulo \(p^2\) and \(p^3\) for \(k\) dots bracelet partitions with \(k = m p^s\) ⋮ CONGRUENCES MODULO SQUARES OF PRIMES FOR FU'S k DOTS BRACELET PARTITIONS ⋮ Unnamed Item ⋮ Parity results for broken 5-diamond, 7-diamond and 11-diamond partitions ⋮ New congruences for broken \(k\)-diamond and \(k\) dots bracelet partitions ⋮ Arithmetic properties for Fu's 9 dots bracelet partitions ⋮ Elementary proofs of Radu and Sellers' results for broken 2-diamond partitions ⋮ CONGRUENCES FOR k DOTS BRACELET PARTITION FUNCTIONS

Cites Work

• MacMahon's partition analysis XI: Broken diamonds and modular forms

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