A note on the distribution of some additive functions

Gérald Tenenbaum

Type: Article

Publication Date: 2012-04-01

Citations: 0

DOI: https://doi.org/10.1134/s0081543812010221

Abstract

Let f denote an additive arithmetical function with continuous limiting distribution F on the integers. Then f also has a limiting distribution G on shifted primes. Under some growth conditions on the values of f at primes, we provide optimal lower bounds for the modulus of continuity of F and G, at all points from a specified infinite set.

Locations

Proceedings of the Steklov Institute of Mathematics - View
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

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