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On General Polynomials

Published online by Cambridge University Press:  20 November 2018

Kenneth S. Williams
Kenneth S. Williams*
Affiliation:
Carleton University, Ottawa
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Let d denote a fixed integer > 1 and let GF(q) denote the finite field of q = pn elements. We consider q fixed ≥ A(d), where A(d) is a (large) constant depending only on d. Let

1

where each aiεGF(q). Let nr(r = 2, 3, …, d) denote the number of solutions in GF(q) of

for which x1, x2, …, xr are all different.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 10 , Issue 4 , October 1967 , pp. 579 - 583
Copyright
Copyright © Canadian Mathematical Society 1967

References

1. Birch, B. J. and Swinnerton-Dyer, H. P. F., Note on a problem of Chowla, Act a Arithmetica 5 (1955), 417-423.Google Scholar
2. Uchiyama, S., Note on the mean value of V(f) III.Proc. Japan Acad., 32(1955), 97-98.Google Scholar