DOI

We introduce a crank-like statistic for a different class of partitions. In [AP], Andrews and Paule initiated the study of broken k-diamond partitions. Their study of the respective generating functions led to an infinite family of modular forms, about which they were able to produce interesting arithmetic theorems and conjectures for the related partition functions. Here we establish a crank-like statistic for the broken 1-diamond partition and discuss its role in congruence properties.
Язык оригиналаанглийский
Страницы (с-по)199-218
Число страниц20
ЖурналInternational Journal of Number Theory
Том4
Номер выпуска2
DOI
СостояниеОпубликовано - 1 апр 2008

ID: 126317340