Legendre theorems for certain overpartitions and overpartition pairs

Motivated by two Legendre-type formulas for overpartitions, we derive a variety of their companions as Legendre theorems for overpartition pairs. This leads to equalities of subclasses of overpartitions and overpartition pairs.

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Publication Details

Journal
International Journal of Number Theory
Published
2025-03-20
DOI
https://doi.org/10.1142/s179304212550085x
Citations
1
Primary Topic
advanced mathematical theories
Type
article
Field-Weighted Citation Impact
3.69
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article

Legendre theorems for certain overpartitions and overpartition pairs

George E. Andrews, Mohamed El Bachraoui
1 citations
International Journal of Number Theory
advanced mathematical theories
3.69
article

Legendre theorems for certain overpartitions and overpartition pairs

George E. Andrews, Mohamed El Bachraoui
article en
1 citations

Abstract

Motivated by two Legendre-type formulas for overpartitions, we derive a variety of their companions as Legendre theorems for overpartition pairs. This leads to equalities of subclasses of overpartitions and overpartition pairs.

International Journal of Number TheoryVol. 21(08)
Pennsylvania State University (US), United Arab Emirates University (AE)
Openalex Percentile: Top 12%
advanced mathematical theories
3.69
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