Archiv der Mathematik New Erdős - Kac type theorems
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چکیده
Assuming a quasi Generalized Riemann Hypothesis (quasi-GRH for short) for Dedekind zeta functions over Kummer fields of the type Q(ζq , q √ a), we prove the following prime analogue of a conjecture of Erdős & Pomerance (1985) concerning the exponent function fa(p) (defined to be the minimal exponent e for which ae ≡ 1 modulo p): (‡) lim x→∞ Fa(x;A,B) π(x) = 1 √ 2π B ∫
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تاریخ انتشار 2005