Congruences for \(\ell\)-regular partitions and bipartitions

DOI10.1216/rmj.2020.50.513zbMath1450.11108OpenAlexW3030435733MaRDI QIDQ2188444

Nancy S. S. Gu, Su-Ping Cui

Publication date: 11 June 2020

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1590739286

zbMATH Keywords

Ramanujan's theta functionspartition congruences\(\ell\)-regular partitions\(\ell\)-regular bipartitions

Mathematics Subject Classification ID

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

Cites Work

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• Arithmetic properties of \(\ell\)-regular partitions
• Congruences for the number of partitions and bipartitions with distinct even parts
• Quadratic forms and congruences for \(\ell\)-regular partitions modulo 3, 5 and 7
• On the number of partitions with distinct even parts
• Arithmetic properties of partitions with even parts distinct
• Arithmetic properties of bipartitions with even parts distinct
• Divisibility of certain partition functions by powers of primes
• The 2-adic behavior of the number of partitions into distinct parts
• New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions
• 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

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