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

Debruyne, Gregory, Tenenbaum, Gérald

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.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源