Congruences for \(\ell\)-regular partitions and bipartitions
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Publication:2188444
DOI10.1216/rmj.2020.50.513zbMath1450.11108OpenAlexW3030435733MaRDI QIDQ2188444
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
Ramanujan's theta functionspartition congruences\(\ell\)-regular partitions\(\ell\)-regular bipartitions
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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