On the distribution of the order over residue classes
作者： Pieter Moree
DOI: 10.1090/S1079-6762-06-00168-5
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摘要: For a fixed rational number g ∈ {−1, 0, 1} and integers d we consider the set Ng(a, d) of primes p such that order modulo is congruent to (mod d). Under Generalized Riemann Hypothesis (GRH), it can be shown has natural density δg(a, Arithmetical properties are described, compared with δ(a, d): average elements in field prime characteristic having It transpires strong tendency equal d), or at least close it.
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