On partitions without small parts. (English) Zbl 1005.11049

Nicolas, J.-L.; Sárközy, A.

J. Théor. Nombres Bordx. 12, No. 1, 227-254 (2000).

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 \(1\leq m\leq c_1n/ (\log n)^{c_2}\).

Reviewer: Tom M.Apostol (Pasadena)

MSC:

11P82

Analytic theory of partitions

Keywords:

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

References:

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