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On ther-rank Artin Conjecture, II

✍ Scribed by Leonardo Cangelmi; Francesco Pappalardi

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
138 KB
Volume
75
Category
Article
ISSN
0022-314X

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✦ Synopsis

For any finitely generated subgroup 1 of Q* we compute a formula for the density of the primes for which the reduction modulo p of 1 contains a primitive root modulo p. We use this to conjecture a characterization of ``optimal'' subgroups (i.e., subgroups that have maximal density). We also improve the error term in the asymptotic formula of Pappalardi's Theorem 1.1 (Math. Comp. 66 (1997), 853 868).

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