Andrews-Beck Type Congruences Modulo 2 and 4 for Beck's Partition Statistics

被引：7
|
作者：
Xuan, Yu [1 ]
Yao, Olivia X. M. [1 ]
Zhou, Xinyuan [1 ]
机构：
[1] Suzhou Univ Sci & Technol, Sch Math Sci, Suzhou 215009, Jiangsu, Peoples R China
来源：
RESULTS IN MATHEMATICS | 2023年 / 78卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Partitions; rank; crank; Beck's partition statistics; Andrews-Beck type congruences; CRANK; RANKS;
D O I：
10.1007/s00025-023-01980-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, Andrews and Chern established a number of congruences modulo 5, 7, 11 and 13 on Beck's partition statistics NT (r, m, n) and M-?(r, m, n), which count the total number of parts in the partitions of n with rank congruent to r modulo m and the total number of ones in the partitions of n with crank congruent to r modulo m, respectively. Motivated by their work, we prove several Andrews-Beck type congruences modulo 2 and 4 for NT (r, m, n) and M-? (r, m, n) in this paper.
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页数：15
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