Basis partitions and Rogers–Ramanujan partitions
نویسندگان
چکیده
منابع مشابه
Basis partitions and Rogers-Ramanujan partitions
Every partition has, for some d, a Durfee square of side d. Every partition π with Durfee square of side d gives rise to a “successive rank vector” r = (r1, · · · , rd). Conversely, given a vector r = (r1, · · · , rd), there is a unique partition π0 of minimal size called the basis partition with r as its successive rank vector. We give a quick derivation of the generating function for b(n, d),...
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Article history: Received 28 April 2014 Received in revised form 14 October 2014 Accepted 14 October 2014 Available online 31 October 2014 MSC: 54D20
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1999
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(99)00030-8