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An improvement of Artin's conjecture on average for composite moduli

Part of: Multiplicative number theory

Published online by Cambridge University Press:  26 February 2010

Shuguang Li
Shuguang Li
Affiliation:
Department of Mathematics, Natural Sciences Division, University of Hawaii at Hilo, 200 W. Kawili Street, Hilo. HI 96720–4091, USA. E-mail: shuguang@hawaii.edu
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Extract

Let q be a natural number. When the multiplicative iroup (ℤ/qℤ)* is a cyclic group, its generators are called primitive roots. Note that the generators are also elements with the maximum order if (ℤ/qℤ)* is cyclic. Thus, when (ℤ–qℤ)* is not a cyclic goup, we then call an element with: he maximal possible order a primitive root, which was initially introduced by R. Carmichael [1].

MSC classification

Secondary: 11N37: Asymptotic results on arithmetic functions
Type
Research Article
Information
Mathematika , Volume 51 , Issue 1-2 , December 2004 , pp. 97 - 109
Copyright
Copyright © University College London 2004

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