Turan inequalities for k-th power partition functions

被引：1

作者：

Benfield, Brennan ^{[1
]}

Paul, Madhumita ^{[2
]}

Roy, Arindam ^{[2
]}

机构：

[1] Univ Hawaii, Dept Math, 2565 McCarthy Mall, Honolulu, HI 96822 USA

[2] Univ North Carolina Charlotte, Dept Math & Stat, 9201 Univ City Blvd, Charlotte, NC 28223 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 529卷 / 01期

关键词：

Power partition functions; Log-concave sequence; Turan inequalities; Jensen polynomial; LOG-CONCAVITY;

D O I：

10.1016/j.jmaa.2023.127678

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The k-th power partition function counts the number of ways that an integer can be written as a sum of perfect k-th powers, a restriction of the well known partition function. Many restricted partition functions have recently been proven to satisfy the higher order the Turan inequalities. This paper shows that the k-th power partition function likewise satisfies these inequalities. In particular, we prove a conjecture by Ulas, improving the upper and lower bounds given in his inequality. Published by Elsevier Inc.

引用

页数：9

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