论文标题
通用分区功能的鞍点方法
The saddle-point method for general partition functions
论文作者
论文摘要
我们将鞍点方法应用于从天然整数的分区数量中得出渐近估计或渐近级数,以从相关的dirichlet系列满足某些分析特性的一个积极整数中选择的部分。这使得在单个陈述中分组许多案例中的许多案例以及许多新案例。
We apply the saddle-point method to derive asymptotic estimates or asymptotic series for the number of partitions of a natural integer into parts chosen from a subset of the positive integers whose associated Dirichlet series satisfies certain analytic properties. This enables grouping in a single statement many cases studied in the literature, as well as a number of new ones.