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Sequences with Inequalities by Neuhauser, Bernhard Heim und Markus is a scholarly article available to read on EtoBox.

What is Sequences with Inequalities about?

We consider infinite sequences of positive numbers. The connection between log-concavity and the Bessenrodt--Ono inequality had been in the focus of several papers. This has applications in the white noise distribution theory and combinatorics. We improve a recent result of Benfield and Roy and show that for the sequence of partition numbers $\{p(n)\}$ Nicolas' log-concavity result implies the result of Bessenrodt and Ono towards $p(n) \, p(m) > p(n+m)$.

Author
Neuhauser, Bernhard Heim und Markus
Published
2024
Language
EN

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