Inequalities for the broken \(k\)-diamond partition functions
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Publication:2700684
DOI10.1016/j.jnt.2023.02.013OpenAlexW4360603944MaRDI QIDQ2700684
Publication date: 27 April 2023
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2023.02.013
finite differenceJensen polynomialshigher order Turán inequalitiesthe broken \(k\)-diamond partition functions
Combinatorial aspects of partitions of integers (05A17) Combinatorial inequalities (05A20) Elementary theory of partitions (11P81) Analytic theory of partitions (11P82)
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- Congruences for broken \(k\)-diamond partitions
- Ramanujan-type congruences for broken 2-diamond partitions modulo 3
- Infinite families of strange partition congruences for broken 2-diamonds
- Broken 2-diamond partitions modulo 5
- Two congruences involving Andrews-Paule's broken 3-diamond partitions and 5-diamond partitions
- Log-concavity of the partition function
- Inequalities for the overpartition function
- Jensen polynomials and the Turán and Laguerre inequalities
- Necessary and sufficient conditions and the Riemann hypothesis
- Some congruences for Andrews-Paule's broken 2-diamond partitions
- Sur les entiers n pour lesquels il y à beaucoup de groupes abéliens d'ordre \(n\)
- Log-concavity of the overpartition function
- Turán inequalities for the plane partition function
- Hyperbolicity of the partition Jensen polynomials
- Finite differences of the logarithm of the partition function
- MacMahon's partition analysis XI: Broken diamonds and modular forms
- On recent congruence results of Andrews and Paule for broken k-diamonds
- Normalized Symmetric Functions, Newton's Inequalities, and a New Set of Stronger Inequalities
- The Riemann Hypothesis and the Turan Inequalities
- Higher order Turán inequalities
- Higher order Turán inequalities for the partition function
- Fractional partitions and conjectures of Chern–Fu–Tang and Heim–Neuhauser
- Jensen polynomials for the Riemann zeta function and other sequences
- The spt-function of Andrews
- MacMahon's partition analysis. VIII: Plane partition diamonds
- Turán inequalities for the broken \(k\)-diamond partition functions
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