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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2003 年 29 巻 2 号 p. 143-157

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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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© The Mathematical Society of Japan
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