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Uniform distribution of polynomial-generated sequences in \(\mathrm{GF}[q,x]\). (English) Zbl 0192.39902

MSC:

11T99 Finite fields and commutative rings (number-theoretic aspects)
11K06 General theory of distribution modulo \(1\)
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References:

[1] Carlitz, L., Diophantine approximation in fields of characteristic p, Trans. Amer. Math. Soc., 72, 187-208 (1952) · Zbl 0046.04801 · doi:10.2307/1990751
[2] Cavior, Stephan R., Uniform distribution of polynomials modulo m, Amer. Math. Monthly, 73, 171-172 (1966) · Zbl 0144.04103 · doi:10.2307/2313553
[3] – –,Constructing polynomials which are uniformly distributed (mod m), to appear.
[4] Hodges, John H., Uniform distribution of sequences in GF[q, x], Acta Arith., XII, 55-75 (1966) · Zbl 0146.06304
[5] Nagell, T., Introduction to number theory (1951), New York: Wiley, New York · Zbl 0042.26702
[6] Niven, Ivan, Uniform distribution of sequences of integers, Trans. Amer. Math. Soc., 98, 52-61 (1961) · Zbl 0096.03102 · doi:10.2307/1993512
[7] Niven, I.; Zuckerman, H. S., An introduction to the theory of numbers (1960), New York: Wiley, New York · Zbl 0098.03602
[8] Zane, Burke, Uniform distribution modulo m of monomials, Amer. Math. Monthly, 71, 162-164 (1964) · Zbl 0122.06001 · doi:10.2307/2311746
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