Voronoi summation formulae and multiplicative functions on permutations

Details Voronoi summation formulae and multiplicative functions on permutations Voronoi summation formulae and multiplicative functions on permutations

2010-04-21

arxiv.org/abs/1004.3625v2

The Ramanujan Journal, 24 (2011), no. 3, 289-329

Mathematics

Combinatorics

43 pages. This paper is based on the material presented in chapters 1.1 and 1.2 of author's doctorial dissertation that was wr

Scientific paper

10.1007/s11139-010-9263-0

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.

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