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

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