Variations of Andrews-Beck type congruences

被引：19

作者：

Chan, Song Heng ^{[1
]}

Mao, Renrong ^{[2
]}

Osburn, Robert ^{[3
]}

机构：

[1] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, 21 Nanyang Link, Singapore 637371, Singapore

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

[3] Univ Coll Dublin, Sch Math & Stat, Dublin 4, Ireland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 495卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Andrews-Beck type congruences; Rank for overpartition pairs; Dyson's rank for overpartitions; M-2-rank for overpartitions; M-2-rank for partitions without repeated odd parts; FROBENIUS REPRESENTATION; RANK; CONJUGATION; M-2-RANK; DYSONS;

D O I：

10.1016/j.jmaa.2020.124771

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove three variations of recent results due to Andrews on congruences for NT(m, k, n), the total number of parts in the partitions of n with rank congruent to m modulo k. We also conjecture new congruences and relations for NT(m,k,n) and for a related crank-type function. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：14

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