New relations for the number of partitions with distinct even parts

DOI10.1016/j.jnt.2016.12.015zbMath1386.11110OpenAlexW2586109928WikidataQ60692242 ScholiaQ60692242MaRDI QIDQ518063

Mircea Merca

Publication date: 28 March 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.12.015

zbMATH Keywords

integer partitionsoverpartitionspartition congruences

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)

Related Items (8)

Jacobi's four and eight squares theorems and partitions into distinct parts ⋮ A partition statistic for partitions with even parts distinct ⋮ Generalized Lambert series and Euler's pentagonal number theorem ⋮ On 5-regular bipartitions with even parts distinct ⋮ On some infinite families of congruences for \([j, k\)-partitions into even parts distinct] ⋮ Unnamed Item ⋮ On relations for the partitions of numbers ⋮ PED and POD partitions: combinatorial proofs of recurrence relations

Uses Software

• OEIS

Cites Work

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• Arithmetic properties of \(\ell\)-regular partitions
• New infinite families of congruences modulo 8 for partitions with even parts distinct
• On the number of partitions with distinct even parts
• Arithmetic properties of partitions with even parts distinct
• A short note on the overpartition function
• Gordon's theorem for overpartitions.
• Overpartitions and real quadratic fields
• Recurrences for the partition function and its relatives
• The overpartition function modulo small powers of 2
• Singular overpartitions
• Partitions With Distinct Evens
• Overpartitions
• Overpartition Theorems of the Rogers–Ramanujan Type

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