Voronoi summation formulae and multiplicative functions on permutations

被引：0
作者：
Vytas Zacharovas
机构：
[1] Vilnius University,Department of Mathematics and Informatics
来源：
The Ramanujan Journal | 2011年 / 24卷
关键词：
Tauberian theorems; Divergent series; Voronoi summability; Nörlund summability; Symmetric group; Random permutations; Additive functions; Multiplicative functions; Berry–Esseen bound; 60C05; 40G05; 40E05; 20P05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove a Tauberian theorem for the Voronoi summation method of divergent series with an estimate of the remainder term. The results on the Voronoi summability are then applied to analyze the mean values of multiplicative functions on random permutations.
引用
收藏
页码：289 / 329
页数：40
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