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The distribution of rational points on varieties defined over a finite field

Published online by Cambridge University Press:  26 February 2010

Gerald Myerson
Gerald Myerson
Affiliation:
Department of Mathematics, State University of New York at Buffalo, Buffalo, New York, U.S.A.
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Extract

Let h1(x1, …, xn), …, hs(x1, …, xn) be polynomials with integer coefficients. We give conditions on these polynomials which guarantee the existence, for all sufficiently large primes p, of small solutions to the system of congruences

Previous investigations of this problem include those of Mordell [10], Chalk and Williams [5], and Smith [14]. Smith's main result, which encompasses the other results, can be stated as follows.

Type
Research Article
Information
Mathematika , Volume 28 , Issue 2 , December 1981 , pp. 153 - 159
Copyright
Copyright © University College London 1981

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