Voronoi summation formulae and multiplicative functions on permutations

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.

Saved in:
Bibliographic Details
Published inThe Ramanujan journal Vol. 24; no. 3; pp. 289 - 329
Main Author Zacharovas, Vytas
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.04.2011
Subjects
Online AccessGet full text

Cover

Loading…
More Information
Summary: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.
ISSN:1382-4090
1572-9303
DOI:10.1007/s11139-010-9263-0