Partitions with designated summands

DOI10.4064/aa105-1-5zbMath1004.05006OpenAlexW2079827143MaRDI QIDQ4548891

Jeremy Lovejoy, George E. Andrews, Richard P. Lewis

Publication date: 27 August 2002

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa105-1-5

zbMATH Keywords

partition functionsmodular relationsdivisibility properties

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (24)

Some results concerning partitions with designated summands ⋮ New infinite families of congruences for the number of tagged parts over partitions with designated summands ⋮ CONGRUENCES FOR k-REGULAR PARTITIONS WITH DESIGNATED SUMMANDS ⋮ Weighted forms of Euler's theorem ⋮ Infinitely many congruences for \(k\)-regular partitions with designated summands ⋮ The number of tagged parts over the partitions with designated summands ⋮ New congruences modulo 2, 4, and 8 for the number of tagged parts over the partitions with designated summands ⋮ Unnamed Item ⋮ CONGRUENCESFORBIPARTITIONSWITHODDDESIGNATED SUMMANDS ⋮ Unnamed Item ⋮ DIVISIBILITY OF THE PARTITION FUNCTION BY POWERS OF AND ⋮ A rank of partitions with overline designated summands ⋮ Arithmetic properties of bipartitions with designated summands ⋮ Congruences modulo 9 for bipartitions with designated summands ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the number of partitions with designated summands ⋮ Arithmetic properties of partitions with designated summands ⋮ A crank for bipartitions with designated summands ⋮ A crank of partitions with designated summands ⋮ Refinements of equalities and inequalities on \(d\)-cranks for partitions with designated summands ⋮ Unnamed Item ⋮ THE RESTRICTED 3-COLORED PARTITION FUNCTION MOD 3 ⋮ Combinatorial proofs of the Ramanujan type congruences modulo \(3\)

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