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arXiv · 1004.3625

Voronoi summation formulae and multiplicative functions on permutations

Vytas Zacharovas
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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.

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Vytas Zacharovas. 2010-07-27. Voronoi summation formulae and multiplicative functions on permutations. https://doi.org/10.1007/s11139-010-9263-0

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