Japanese journal of mathematics. New series
Online ISSN : 1861-3624
Print ISSN : 0289-2316
Asymptotically exact heuristics for (near) primitive roots. II
Pieter MOREE
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JOURNAL FREE ACCESS

2003 Volume 29 Issue 2 Pages 143-157

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Abstract
Let g ∈_??_ be a rational number. Let Ng, t(x) denote the number of primes p<x for which the subgroup of (Z/pZ)* generated by g mod p is of residual index t. In [7] an heuristic for Ng, t (x) was set up, under the assumption of the Gen-eralized Riemann Hypothesis (GRH), and shown to be asymptotically exact. In this paper we provide an alternative and rather shorter proof of this result.
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