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ON THE SOLVABILITY OF SYSTEMS OF SUM–PRODUCT EQUATIONS IN FINITE FIELDS
Published online by Cambridge University Press: 01 August 2011
Abstract
In an earlier paper, for ‘large’ (but otherwise unspecified) subsets ,
,
,
of
q, Sárközy showed the solvability of the equations a + b = cd with a ∈
, b ∈
, c ∈
, d ∈
. This equation has been studied recently by many other authors. In this paper, we study the solvability of systems of equations of this type using additive character sums.
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 2011
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