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Vajaitu, M.
- Equidistribution of Rational Functions of Primes mod q
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1 Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, Bucharest 70700, RO
1 Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, Bucharest 70700, RO
Source
Journal of the Ramanujan Mathematical Society, Vol 16, No 1 (2001), Pagination: 63-73Abstract
Given a prime number q and r(X) = f(X)/g(X), f, g ∈ ℤ [X], denote Ρr,q = {p prime : p ⩽ q, g(p) ≠ 0 (mod q)}. For r(X) not a linear polynomial we prove that the finite sequence Ur,q := { r(p) (mod q)/q: p ∈ Pr,q } becomes equidistributed mod 1 as q ⟶ ∞.
AMS (2000) Subject Classification. 11N69,11L07.
- The Sequence n! (mod p)
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Authors
Affiliations
1 Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 70700 Bucharest, RO
2 Institute of Mathematics of the Romanian, Academy, P.O. Box 1-764, 70700 Bucharest, RO
1 Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 70700 Bucharest, RO
2 Institute of Mathematics of the Romanian, Academy, P.O. Box 1-764, 70700 Bucharest, RO