More inequalities for the overpartition function

Finding truncated identities is an efficient way to derive inequalities for partition functions. This method was initiated by Andrews and Merca in 2012 and has flourished since then. In this paper, in view of a transformation formula due to Bailey, and combining two new Bailey pairs and an identity given by Wang and Yee, we find some new truncated identities which imply more inequalities for the overpartition function.

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Publication Details

Journal
International Journal of Number Theory
Published
2025-03-20
DOI
https://doi.org/10.1142/s1793042125500745
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

More inequalities for the overpartition function

Nancy S. S. Gu, Qian Wang, Su-Ping Cui
International Journal of Number Theory
Mathematical Inequalities and Applications
article

More inequalities for the overpartition function

Nancy S. S. Gu, Qian Wang, Su-Ping Cui
article en

Abstract

Finding truncated identities is an efficient way to derive inequalities for partition functions. This method was initiated by Andrews and Merca in 2012 and has flourished since then. In this paper, in view of a transformation formula due to Bailey, and combining two new Bailey pairs and an identity given by Wang and Yee, we find some new truncated identities which imply more inequalities for the overpartition function.

International Journal of Number TheoryVol. 21(07)
Qufu Normal University (CN), Nankai University (CN)
Reduced inequalities
Openalex Percentile: Top 92%
Mathematical Inequalities and Applications
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