期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2004
卷号：2004
DOI：10.1155/S0161171204311439
出版社：Hindawi Publishing Corporation
摘要：Dyson defined the rank of a partition (as the first part minus
the number of parts) whilst investigating certain congruences in
the sequence p−1(n). The rank has been widely studied as
have been other statistics, such as the crank. In this paper a
“birank” is defined which relates to ordered pairs of
partitions, and is used in an elementary proof of a congruence in
p−2(n).
