On partitions without small parts.(English)Zbl 1005.11049

The authors apply the saddle point method to the generating function of the partition function $$r(n,m)$$, which counts the number of partitions of $$n$$ into parts, each of which is at least $$m$$. They obtain an asymptotic estimate which holds for large $$n$$ and $$1\leq m\leq c_1n/ (\log n)^{c_2}$$.

MSC:

 11P82 Analytic theory of partitions
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References:

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