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Proof of a conjecture of Heath-Brown concerning quadratic residues

Published online by Cambridge University Press:  20 January 2009

R. R. Hall
R. R. Hall
Affiliation:
Department of Mathematics, University of York, Heslington, York YO1 5DDEngland
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Abstract

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The conjecture in question is that the proportion of the first n positive integers which are quadratic residues of an arbitrary prime p is bounded below by a positive. δ. This is established here as a corollary of a more general result concerning multiplicative functions; the problem of the sharp δ is left open.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 3 , October 1996 , pp. 581 - 588
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

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