On the r-rank Artin Conjecture
نویسنده
چکیده
We assume the generalized Riemann hypothesis and prove an asymptotic formula for the number of primes for which Fp can be generated by r given multiplicatively independent numbers. In the case when the r given numbers are primes, we express the density as an Euler product and apply this to a conjecture of Brown–Zassenhaus (J. Number Theory 3 (1971), 306–309). Finally, in some examples, we compare the densities approximated with the natural densities calculated with primes up to 9 · 104.
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عنوان ژورنال:
- Math. Comput.
دوره 66 شماره
صفحات -
تاریخ انتشار 1997