ARITHMETIC PROPERTIES OF -REGULAR BIPARTITIONS

DOI10.1017/S0004972716000964zbMath1369.05019MaRDI QIDQ5269712

Liuquan Wang

Publication date: 27 June 2017

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

zbMATH Keywords

partitionscongruencesmodular forms\((k,\ell)\)-regular bipartitions

Mathematics Subject Classification ID

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

Related Items (17)

Ramanujan-type congruences modulo \(m\) for \((l, m)\)-regular bipartitions ⋮ Arithmetic properties of cubic and overcubic partition pairs ⋮ PROOF OF SOME CONJECTURAL CONGRUENCES OF DA SILVA AND SELLERS ⋮ Congruences for k-elongated plane partition diamonds ⋮ Arithmetic density and new congruences for \(3\)-core partitions ⋮ Arithmetic density and congruences of \(t\)-core partitions ⋮ Congruences for the coefficients of the mock theta function \(\beta (q)\) ⋮ Congruences modulo \(4\) for the number of \(3\)-regular partitions ⋮ Congruences for the coefficients of a pair of third and sixth order mock theta functions ⋮ Unnamed Item ⋮ Arithmetic properties for two restricted partitions modulo powers of 5 ⋮ Some congruences for $(s,t)$-regular bipartitions modulo $t$ ⋮ Unnamed Item ⋮ Certain eta-quotients and \(\ell \)-regular overpartitions ⋮ On Andrews' integer partitions with even parts below odd parts ⋮ Divisibility of certain \(\ell\)-regular partitions by 2 ⋮ ARITHMETIC PROPERTIES OF 3-REGULAR PARTITIONS IN THREE COLOURS

Cites Work

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• Congruences for 5-regular partitions modulo powers of 5
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• An algorithmic approach to Ramanujan's congruences
• Divisibility of certain partition functions by powers of primes
• Congruences modulo powers of 5 for two restricted bipartitions
• The 2-adic behavior of the number of partitions into distinct parts
• An infinite family of congruences modulo 3 for 13-regular bipartitions
• CONGRUENCE PROPERTIES MODULO 5 AND 7 FOR THE pod FUNCTION
• ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS
• THE NUMBER OF PARTITIONS INTO DISTINCT PARTS MODULO POWERS OF 5
• ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS
• Divisibility and distribution of partitions into distinct parts

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