Voronoi summation formulae and multiplicative functions on permutations
Combinatorics
2011-04-08 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1004.3625,
title = {Voronoi summation formulae and multiplicative functions on permutations},
author = {Vytas Zacharovas},
journal= {arXiv preprint arXiv:1004.3625},
year = {2011}
}
Comments
43 pages. This paper is based on the material presented in chapters 1.1 and 1.2 of author's doctorial dissertation that was written and defended at Vilnius University in 2004 under supervision of prof. E. Manstavicius