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On obtaining zero-free regions for the zeta-function from estimates of M(x)

Published online by Cambridge University Press:  24 October 2008

D. Allison
D. Allison
Affiliation:
University of Cape Town
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Extract

We use some of the standard notation of analytic number theory; ψ(x) is defined in (1), page 12, and where μ(n) is the Möbius function.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 2 , March 1970 , pp. 333 - 337
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Ingham, A. E.The distribution of prime numbers (Cambridge Tracts in Mathematics and Mathematical Physics, No. 30; Cambridge, 1932).Google Scholar
(2)Prachar, K.Primzahlverteilung (Die Grundlehren der Mathematischen Wissenschaften, Band XCI; Springer; Berlin, 1957).Google Scholar
(3)Staś, W.Über die Umkehrung eines Satzes von Ingham. Acta Arith. 6 (1961), 435–446.CrossRefGoogle Scholar
(4)Walfisz, A.Weylsche Exponentialsummen in der neueren Zahlentheorie. (VEB Deutscher Verlag der Wissenschaften; Berlin, 1963).Google Scholar