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WEAK PROPER DISTRIBUTION OF VALUES OF MULTIPLICATIVE FUNCTIONS IN RESIDUE CLASSES
Published online by Cambridge University Press: 04 February 2013
Abstract
For a class of multiplicative integer-valued functions $f$ the distribution of the sequence
$f(n)$ in restricted residue classes modulo
$N$ is studied. We consider a property weaker than weak uniform distribution and study it for polynomial-like multiplicative functions, in particular for
$\varphi (n)$ and
$\sigma (n)$.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 93 , Issue 1-2 , October 2012 , pp. 173 - 188
- Copyright
- Copyright ©2013 Australian Mathematical Publishing Association Inc.
References
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