GENERALISATION OF KEITH’S CONJECTURE ON 9-REGULAR PARTITIONS AND 3-CORES
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Publication:2922931
DOI10.1017/S0004972714000343zbMath1302.05011WikidataQ122980648 ScholiaQ122980648MaRDI QIDQ2922931
Andrew Y. Z. Wang, Bernard L. S. Lin
Publication date: 15 October 2014
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)
Related Items (9)
Congruences for (3,11)-regular bipartitions modulo 11 ⋮ An infinite family of congruences modulo 3 for 13-regular bipartitions ⋮ Congruences for some \(l\)-regular partitions modulo \(l\) ⋮ New parity results for 3-regular partitions ⋮ 4-regular partitions and the pod function ⋮ Parity results for 13-regular partitions and broken 6-diamond partitions ⋮ New infinite families of congruences modulo 8 for partitions with even parts distinct ⋮ Quadratic forms and congruences for \(\ell\)-regular partitions modulo 3, 5 and 7 ⋮ On 3-divisibility of 9- and 27-regular partitions
Cites Work
- Arithmetic properties of \(\ell\)-regular partitions
- 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 \(p^{j}\)
- \(l\)-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
- ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS
- ELEMENTARY PROOFS OF VARIOUS FACTS ABOUT 3-CORES
- THE NUMBER OF PARTITIONS INTO DISTINCT PARTS MODULO POWERS OF 5
- The arithmetic of partitions into distinct parts
- Defect zero blocks for finite simple groups
- ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS
- Some results on $3$-cores
- A PROOF OF KEITH'S CONJECTURE FOR 9-REGULAR PARTITIONS MODULO 3
- Divisibility and distribution of partitions into distinct parts
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