On the class of dominant and subordinate products (Q401769)
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scientific article; zbMATH DE number 6334776
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the class of dominant and subordinate products |
scientific article; zbMATH DE number 6334776 |
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On the class of dominant and subordinate products (English)
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27 August 2014
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Summary: In this paper we provide proofs of two new theorems that provide a broad class of partition inequalities and that illustrate a naïve version of \textit{G. E. Andrews}' anti-telescoping technique quite well [in: From Fourier analysis and number theory to Radon transforms and geometry. In Memory of Leon Ehrenpreis. Berlin: Springer. Developments in Mathematics 28, 1--20 (2013; Zbl 1318.11130)]. In addition, we prove (as a lemma to one of the theorems) a rather nontrivial class of rational functions of three variables has entirely nonnegative power series coefficients.
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\(q\)-series
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generating functions
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partition inequalities
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anti-telescoping
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rational functions with nonnegative coefficients
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