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ANNALES Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae
Sectio Computatorica

Volumes » Volume 54 (2023)

https://doi.org/10.71352/ac.54.143

Comparing the Prime Number Theorem and the sum of the Moebius function

Harold G. Diamond

Abstract. In classical analytic number theory, the Prime Number Theorem and the asymptotic estimate for the sum of the Moebius function can easily be deduced from one another. We show that the analogues of these relations do not necessarily imply one another in Beurling generalized number systems, and we give an explanation for this different behavior.

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