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Zbl 1005.11049
Nicolas, J.-L.; Sárközy, A.
On partitions without small parts. (English)
[J] J. Théor. Nombres Bordx. 12, No.1, 227-254 (2000). ISSN 1246-7405

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 $1\leq m\leq c_1n/ (\log n)^{c_2}$.
[Tom M.Apostol (Pasadena)]

MSC 2000:: *11P82 Analytic theory of partitions

Keywords: saddle point method; generating function; partition function; asymptotic estimate

Cited in: Zbl 1080.11075

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