The Gaussian Law of Errors in the Theory of Additive Number Theoretic Functions

@article{Erds1940TheGL,
title={The Gaussian Law of Errors in the Theory of Additive Number Theoretic Functions},
author={Paul Erd{\"o}s and Mark Kac},
journal={American Journal of Mathematics},
year={1940},
volume={62},
pages={738}
}
• Published 1940
• Mathematics
• American Journal of Mathematics
The present paper concerns itself with the applications of statistical methods to some number-theoretic problems. Recent inrestigations of Erdiis and Wintrier ? have shown the importance of the notion of statistical independence in number theory ; the purpose of this paper is to emphasize this fact once again. It may be mentioned here that we get as a particular case of our main theorem the following result : If v(m) denotes the number of prime divisors of ~1, and En the number of those…
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