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Equidistribution of values of rational functions (mod p)
Published online by Cambridge University Press: 14 November 2011
Extract
Let R1(x),…, Rd(x) be rational functions in Iℚ(x), such that 1, R1(x),…, Rd(x) are linearly independent over Iℚ. For almost all primes p, their mod p reductions, are well-defined rational functions over Fp and are linearly independent over Fp We show that asymptotically the points
are uniformly distributed in [0, l)d.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 5 , 1995 , pp. 911 - 929
- Copyright
- Copyright © Royal Society of Edinburgh 1995