Summary
Analogs are proved for sequences in Φ=GF[q, x], the ring of polynomials in x over a finite field of q elements, of results of Niven, Zane, and Cavior concerning uniform distribution of sequences of integers generated by polynomials with integer coefficients. The uniform distribution (mod m), m an integer, in these papers is replaced here by a concept called weak uniform distribution (mod M), M ε Φ.
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References
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Additional information
Supported byNSF Research GrantGP 6515.
Entrata in Redazione il 21 settembre 1968.
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Hodges, J.H. Uniform distribution of polynomial-generated sequences inGF[q, x] . Annali di Matematica 82, 135–142 (1969). https://doi.org/10.1007/BF02410794
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DOI: https://doi.org/10.1007/BF02410794