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Unbalanced quadratic residues and non-residues

Published online by Cambridge University Press:  24 October 2008

R. C. Baker  and
G. Harman
R. C. Baker
Affiliation:
Royal Holloway College, Egham and University College, Cardiff
G. Harman
Affiliation:
Royal Holloway College, Egham and University College, Cardiff
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Let p be an odd prime. We write g(p) for the least positive integer z such that

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 98 , Issue 1 , July 1985 , pp. 9 - 17
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

REFERENCES

[1]Davenport, H.. Multiplicative Number Theory, 2nd ed., revised by Montgomery, H. L. (Springer-Verlag, 1980).Google Scholar
[2]Gallagher, P. X.. A large sieve density estimate near σ= 1. Inventiones Math. 11 (1970), 329–339.Google Scholar
[3]HIldebrand, A.. On the local behaviour of Ψ(x, y). (Preprint.)Google Scholar
[4]Wolke, D.. Eine Bemerkung über das Legendre-Symbol. Monatsh. Math. 77 (1973), 267–275.Google Scholar