Parity results for 13-regular partitions and broken 6-diamond partitions

DOI10.1007/s11139-016-9832-yzbMath1383.05021OpenAlexW2539129627MaRDI QIDQ1694379

Donna Q. J. Dou, Litao Guo, Bernard L. S. Lin

Publication date: 1 February 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-016-9832-y

zbMATH Keywords

congruencebroken \(k\)-diamond partitionregular partition

Mathematics Subject Classification ID

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

Related Items (1)

ARITHMETIC PROPERTIES OF 3-REGULAR PARTITIONS IN THREE COLOURS

Cites Work

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• Arithmetic properties of \(\ell\)-regular partitions
• New congruences modulo powers of 2 and 3 for 9-regular partitions
• Parity results for 9-regular partitions
• Quadratic forms and congruences for \(\ell\)-regular partitions modulo 3, 5 and 7
• Arithmetic of the 7-regular bipartition function modulo 3
• On the number of partitions with distinct even parts
• Arithmetic of the 13-regular partition function modulo 3
• Arithmetic properties of partitions with even parts distinct
• Congruences for \(\ell\)-regular partition functions modulo 3
• The \(p^{a}\)-regular partition function modulo \(p^{j}\)
• Infinite families of infinite families of congruences for \(k\)-regular partitions
• \(l\)-divisibility of \(l\)-regular partition functions
• Divisibility of certain partition functions by powers of primes
• The 2-adic behavior of the number of partitions into distinct parts
• The Rogers-Ramanujan continued fraction and its level 13 analogue
• An infinite family of congruences modulo 3 for 13-regular bipartitions
• GENERALISATION OF KEITH’S CONJECTURE ON 9-REGULAR PARTITIONS AND 3-CORES
• Parity results for broken k-diamond partitions and (2k+1)-cores
• MacMahon's partition analysis XI: Broken diamonds and modular forms
• ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS
• THE NUMBER OF PARTITIONS INTO DISTINCT PARTS MODULO POWERS OF 5
• The arithmetic of partitions into distinct parts
• ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS
• A PROOF OF KEITH'S CONJECTURE FOR 9-REGULAR PARTITIONS MODULO 3
• Congruences for 9-regular partitions modulo 3
• Congruences for 9-regular partitions modulo 3
• Divisibility and distribution of partitions into distinct parts

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