Identities involving partitions with distinct even parts and 4-regular partitions

George E. Andrews; Mohamed El Bachraoui

doi:10.1007/s13398-024-01670-4

Identities involving partitions with distinct even parts and 4-regular partitions

George E. Andrews
, Mohamed El Bachraoui

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

It is well known that the number of partitions into distinct even parts equals the number of 4-regular partitions. In this paper we prove identities relating certain restricted partitions into distinct even parts with restricted 4-regular partitions.

Original language	English
Article number	4
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Volume	119
Issue number	1
DOIs	https://doi.org/10.1007/s13398-024-01670-4
Publication status	Published - Jan 2025

Keywords

05A17
11D09
11P81
Bailey lemma
Integer partitions
Overpartition pairs
q-series

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology
Computational Mathematics
Applied Mathematics

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10.1007/s13398-024-01670-4

Cite this

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KW - Overpartition pairs

KW - q-series

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Identities involving partitions with distinct even parts and 4-regular partitions

Abstract

Keywords

ASJC Scopus subject areas

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