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Ω theorems for the complex divisor function

Published online by Cambridge University Press:  24 October 2008

R. R. Hall
R. R. Hall
Affiliation:
University of York, Heslington, York, YOl 5DD
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Extract

This paper is a sequel to [6] and concerns the complex divisor function

which has had a number of applications in the analytic theory of numbers. Thus Hooley's Δ-function [8] defined by

satisfies the inequality

and Erdös' τ+-function, defined by

satisfies

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 115 , Issue 1 , January 1994 , pp. 145 - 157
Copyright
Copyright © Cambridge Philosophical Society 1994

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References

REFERENCES

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