Variations of Andrews-Beck type congruences

被引：20
|
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.
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页数：14
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