A Formula for the Partition Function That “Counts”
نویسندگان
چکیده
منابع مشابه
A formula for the partition function that “counts”
We derive a combinatorial multisum expression for the number D(n, k) of partitions of n with Durfee square of order k. An immediate corollary is therefore a combinatorial formula for p(n), the number of partitions of n. We then study D(n, k) as a quasipolynomial. We consider the natural polynomial approximation D̃(n, k) to the quasipolynomial representation of D(n, k). Numerically, the sum ∑ 1≤k...
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ژورنال
عنوان ژورنال: Annals of Combinatorics
سال: 2016
ISSN: 0218-0006,0219-3094
DOI: 10.1007/s00026-016-0305-1