奇单峰序列

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-08-27 DOI:10.1016/j.aim.2025.110458

Kathrin Bringmann , Jeremy Lovejoy

引用次数: 0

摘要

本文研究了奇单峰序列和奇强单峰序列。我们用q级数方法求出几个基本的生成函数。利用欧拉-麦克劳林求和公式，我们得到了这两类序列的渐近主项。我们还发现了奇数强单峰序列的模为4的同余族。

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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Odd unimodal sequences

In this paper we study odd unimodal and odd strongly unimodal sequences. We use q-series methods to find several fundamental generating functions. Employing the Euler–Maclaurin summation formula we obtain the asymptotic main term for both types of sequences. We also find families of congruences modulo 4 for the number of odd strongly unimodal sequences.

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.