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Journal

Uniform Distribution Theory (UDT)


Volume & Issue

UDT. Volume 13. Issue 2


Published on

December, 2018


Pages

93-101


DOI

https://doi.org/10.2478/udt-2018-0013

Article

Log-Like Functions and Uniform Distribution Modulo One


Authors

Martin Rehberg


Abstract

For a function f satisfying f (x) = o((log x) K), K > 0, and a sequence of numbers (qn) n, we prove by assuming several conditions on f that the sequence (αf (qn)) n≥n0 is uniformly distributed modulo one for any nonzero real number α. This generalises some former results due to Too, Goto and Kano where instead of (qn) n the sequence of primes was considered.


Citation

Rehberg, M. (2018). Log-Like Functions and Uniform Distribution Modulo One. Uniform distribution theory, 13(2), 93-101. https://doi.org/10.2478/udt-2018-0013