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On the distribution of the order and index of over residue classes III

✍ Scribed by Pieter Moree

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
266 KB
Volume
120
Category
Article
ISSN
0022-314X

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On the distribution of the order and ind
On the distribution of the order and index of over residue classesβ€”I
✍ Pieter Moree πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 380 KB

For a fixed rational number g / ∈ {-1, 0, 1} and integers a and d we consider the set N g (a, d) of primes p for which the order of g (mod p) is congruent to a (mod d). For d = 4 and 3 we show that, under the generalized Riemann hypothesis (GRH), these sets have a natural density g (a, d) and comput