Arithmetic properties of partitions with even parts distinct
From MaRDI portal
Publication:618843
DOI10.1007/s11139-009-9158-0zbMath1218.05018OpenAlexW2138421150MaRDI QIDQ618843
James A. Sellers, George E. Andrews, Michael D. Hirschhorn
Publication date: 17 January 2011
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-009-9158-0
(q)-calculus and related topics (05A30) Partitions; congruences and congruential restrictions (11P83)
Related Items (59)
Parity results for 7-regular and 23-regular partitions ⋮ Congruences for (3,11)-regular bipartitions modulo 11 ⋮ An infinite family of congruences modulo 3 for 13-regular bipartitions ⋮ Ramanujan-type congruences modulo \(m\) for \((l, m)\)-regular bipartitions ⋮ Arithmetic properties for \((s,t)\)-regular bipartition functions ⋮ Arithmetic properties of a partition pair function ⋮ Congruences for \((s, t)\)-regular bipartition quadruples ⋮ GENERALISATION OF KEITH’S CONJECTURE ON 9-REGULAR PARTITIONS AND 3-CORES ⋮ New infinite families of congruences for Andrews’ (K, I)-singular overpartitions ⋮ The relations between \(N(a,b,c,d;n)\) and \(t(a,b,c,d;n)\) and (\(p,k\))-parametrization of theta functions ⋮ Congruences for some \(l\)-regular partitions modulo \(l\) ⋮ The number of tagged parts over the partitions with designated summands ⋮ Congruences for the coefficients of the powers of the Euler product ⋮ Congruences for the number of \(k\)-tuple partitions with distinct even parts ⋮ Arithmetic properties of \(\ell\)-regular partitions ⋮ Generalized Frobenius partitions with 6 colors ⋮ On 9-regular bipartitions with distinct even parts ⋮ Truncated sums for certain restricted partition functions and transformation formulas for basic hypergeometric series ⋮ New parity results for 3-regular partitions ⋮ Congruences for \(\ell\)-regular partitions and bipartitions ⋮ New congruences modulo powers of 2 and 3 for 9-regular partitions ⋮ 4-regular partitions and the pod function ⋮ 6-regular partitions: new combinatorial properties, congruences, and linear inequalities ⋮ On congruence properties of the restricted partition functions \(p_{\omega}(n,k)\) and \(p_{\nu}(n,k)\) ⋮ Ramanujan type identities and congruences for partition pairs ⋮ A partition statistic for partitions with even parts distinct ⋮ Congruences for 3-core cubic partitions ⋮ Ramanujan-type congruences for ℓ-regular partitions modulo 3, 5, 11 and 13 ⋮ Congruences modulo powers of 5 for two restricted bipartitions ⋮ Parity results for 13-regular partitions and broken 6-diamond partitions ⋮ On \(\ell \)-regular bipartitions modulo \(\ell \) ⋮ Parity of sums of partition numbers and squares in arithmetic progressions ⋮ Congruences modulo 9 for singular overpartitions ⋮ Parity results for 9-regular partitions ⋮ New infinite families of congruences modulo 8 for partitions with even parts distinct ⋮ OVERPARTITIONS RELATED TO THE MOCK THETA FUNCTION ⋮ Congruences for \(\ell\)-regular partition functions modulo 3 ⋮ Elementary proofs of two theta function identities of Ramanujan and corresponding Lambert series identities ⋮ Quadratic forms and congruences for \(\ell\)-regular partitions modulo 3, 5 and 7 ⋮ Arithmetic of the 7-regular bipartition function modulo 3 ⋮ Congruences for 5-regular partitions modulo powers of 5 ⋮ Congruences for 9-regular partitions modulo 3 ⋮ A PROOF OF KEITH'S CONJECTURE FOR 9-REGULAR PARTITIONS MODULO 3 ⋮ Arithmetic properties of 7-regular partitions ⋮ New relations for the number of partitions with distinct even parts ⋮ Arithmetic properties of overpartition triples ⋮ Congruences for bipartitions with odd parts distinct ⋮ Congruences for 9-regular partitions modulo 3 ⋮ On 5-regular bipartitions with even parts distinct ⋮ Some new congruences for Andrews' singular overpartitions ⋮ Arithmetic properties of bipartitions with even parts distinct ⋮ On \((\ell,m)\)-regular bipartition triples ⋮ On some infinite families of congruences for \([j, k\)-partitions into even parts distinct] ⋮ Generalizing inplace multiplicity identities for integer compositions ⋮ Congruences modulo powers of 11 for some partition functions ⋮ On relations for the partitions of numbers ⋮ ON THE EXPANSION OF A CONTINUED FRACTION OF ORDER TWELVE ⋮ ARITHMETIC PROPERTIES OF -REGULAR BIPARTITIONS ⋮ On 3-divisibility of 9- and 27-regular partitions
Cites Work
- Unnamed Item
- \(l\)-divisibility of \(l\)-regular partition functions
- Divisibility of certain partition functions by powers of primes
- ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS
- Partitions With Distinct Evens
- Partition identities involving gaps and weights
- Defect zero blocks for finite simple groups
- ON SOME PARTITIONS WHERE EVEN PARTS DO NOT REPEAT
- Euler’s “De Partitio Numerorum”
This page was built for publication: Arithmetic properties of partitions with even parts distinct
