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The average of the least primitive root

Published online by Cambridge University Press:  26 February 2010

D. A. Burgess  and
P. D. T. A. Elliott
D. A. Burgess
Affiliation:
Department of Mathematics, The University, Nottingham
P. D. T. A. Elliott
Affiliation:
Department of Mathematics, The University, Nottingham
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Extract

The problem of estimating accurately the order of magnitude of the least primitive root g(p) to a large prime modulus p is as yet unsolved. The first non-trivial estimate was obtained by I. M. Vinogradov (see [5]) who in about 1919 showed that

Type
Research Article
Information
Mathematika , Volume 15 , Issue 1 , June 1968 , pp. 39 - 50
Copyright
Copyright © University College London 1968

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References

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