Positivity and tails of pentagonal number series

IF 0.9 2区数学 Q2 MATHEMATICS

Journal of Combinatorial Theory Series A Pub Date : 2024-07-04 DOI:10.1016/j.jcta.2024.105933

Nian Hong Zhou

引用次数: 0

Abstract

In this paper, we refine a result of Andrews and Merca on truncated pentagonal number series. Subsequently, we establish some positivity results involving Andrews–Gordon–Bressoud identities and d-regular partitions. In particular, we prove several conjectures of Merca and Krattenthaler–Merca–Radu on truncated pentagonal number series.

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五角数列的正数和尾数

在本文中，我们完善了安德鲁斯和梅尔卡关于截断五角数列的一个结果。随后，我们建立了一些涉及安德鲁斯-戈登-布列苏德同位式和 d 不规则分区的实在性结果。特别是，我们证明了 Merca 和 Krattenthaler-Merca-Radu 关于截断五角数列的几个猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Combinatorial Theory Series A 数学-数学

CiteScore

2.90

自引率

9.10%

发文量

审稿时长

12 months

期刊介绍： The Journal of Combinatorial Theory publishes original mathematical research concerned with theoretical and physical aspects of the study of finite and discrete structures in all branches of science. Series A is concerned primarily with structures, designs, and applications of combinatorics and is a valuable tool for mathematicians and computer scientists.