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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

LE ANH VINH
LE ANH VINH*
Affiliation:
Mathematics Department, Harvard University, Cambridge, MA 02138, USA e-mail: vinh@math.harvard.edu
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Abstract

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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.

Keywords

05C3505C3805C55
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 53 , Issue 3 , September 2011 , pp. 427 - 435
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

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