CONGRUENCES MODULO 2 FOR CERTAIN PARTITION FUNCTIONS

DOI10.1017/S0004972715001367zbMath1346.11057OpenAlexW2282356371MaRDI QIDQ2814338

H. S. Sumanth Bharadwaj, B. Hemanthkumar, Megadahalli S. Mahadeva Naika

Publication date: 21 June 2016

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972715001367

zbMATH Keywords

theta functionparityregular partition functions

Mathematics Subject Classification ID

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

Related Items (4)

On \((\ell , m)\)-regular partitions with distinct parts ⋮ On \((4, 5)\)-regular bipartitions with odd parts distinct ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Arithmetic properties of \(\ell\)-regular partitions
• New parity results for broken 11-diamond partitions
• Parity results for 9-regular partitions
• Congruences for \(\ell\)-regular partition functions modulo 3
• Elementary proofs of parity results for broken 3-diamond partitions
• Partition identities and Ramanujan's modular equations
• Parity results for broken k-diamond partitions and (2k+1)-cores
• MacMahon's partition analysis XI: Broken diamonds and modular forms
• ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS
• Parity results for broken 5-diamond, 7-diamond and 11-diamond partitions
• Congruences for 9-regular partitions modulo 3

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