Asymptotically exact heuristics for (near) primitive roots. 2

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  • Asymptotically exact heuristics for (near) primitive roots. II

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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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