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The average order of magnitude of least primitive roots in algebraic number fields

Published online by Cambridge University Press:  26 February 2010

Jürgen G. Hinz
Jürgen G. Hinz
Affiliation:
Department of Mathematics, University of Marburg, Lahnberge, D-3550 Marburg, Federal Republic of Germany
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Extract

One of the oldest questions concerning primitive roots is that of the actual order df magnitude of the least positive primitive root m(p) to a large prime modulus p. During the last sixty years the interest of several mathematicians has been attracted by this problem. The history of the major results is too well known to need elaboration. The best known bound for m(p) is due to Wang [8] and Burgess [1] who independently obtained

Type
Research Article
Information
Mathematika , Volume 30 , Issue 1 , June 1983 , pp. 11 - 25
Copyright
Copyright © University College London 1983

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References

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