Asymptotic formulas for M2-ranks of partitions without repeated odd parts

被引：2

作者：

Mao, Renrong ^{[1
]}

机构：

[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China

来源：

JOURNAL OF NUMBER THEORY | 2016年 / 166卷

基金：

中国国家自然科学基金;

关键词：

Asymptotics; M-2-rank; Partitions without repeated odd parts; Circle Method; DYSONS CRANK; SYMMETRIES;

D O I：

10.1016/j.jnt.2016.02.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently, K. Bringmann, Dousse and Mertens established asymptotic formulas for ranks and cranks of partitions which were first conjectured by Dyson. Motivated by their works, we prove asymptotic formulas for M-2-ranks of partitions without repeated odd parts. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：324 / 343

页数：20

共 25 条

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[25] The M2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$M_{2}$$\end{document}-rank of partitions without repeated odd parts modulo 6\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$6$$\end{document} and 10\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$10$$\end{document}
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