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On average values of arithmetic functions

Published online by Cambridge University Press:  24 October 2008

E. Fogels
E. Fogels
Affiliation:
L.U. Matematikas SeminārsRaiņa bulv. 19Riga, Lativa
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Extract

The problem considered in this paper is that of finding the least possible h = h(x) such that a given arithmetic function a(n) should keep its average order in the interval x, x + h, i.e. that we have

and

as x → ∞.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 37 , Issue 4 , October 1941 , pp. 358 - 372
Copyright
Copyright © Cambridge Philosophical Society 1941

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References

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