Divisibility of sums of partition numbers by multiples of 2 and 3
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Publication:6666568
DOI10.1017/S0004972723001351MaRDI QIDQ6666568
Publication date: 20 January 2025
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)
Cites Work
- Title not available (Why is that?)
- Congruences for Andrews' singular overpartitions
- Congruences for \(\ell \)-regular overpartitions and Andrews' singular overpartitions
- Gordon's theorem for overpartitions.
- Collected papers of Srinivasa Ramanujan. Edited by G. H. Hardy, P. V. Seshu Aiyar, B. M. Wilson.
- Distribution of the partition function modulo composite integers \(M\)
- Parity of sums of partition numbers and squares in arithmetic progressions
- Distribution of the partition function modulo \(m\)
- Divisibility of Andrews' singular overpartitions by powers of 2 and 3
- Congruences modulo 16, 32, and 64 for Andrews's singular overpartitions
- Arithmetic properties of \(l\)-regular overpartitions
- Arithmetic properties of Andrews' singular overpartitions
- Singular overpartitions
- Congruences modulo 9 for singular overpartitions
- A proof of Subbarao's conjecture
- New parity results of sums of partitions and squares in arithmetic progressions
- New congruences for Andrews' singular overpartitions
- Overpartitions
- New infinite families of congruences for Andrews’ (K, I)-singular overpartitions
- Parity of the partition function in arithmetic progressions.
- On 3- and 9-regular overpartitions modulo powers of 3
- On the number of l-regular overpartitions
- New congruences for $\ell$-regular overpartitions
- Some Remarks on the Partition Function
- Some properties of \(p(n),\) the number of partitions of \(n\).
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