On the Solvability of Systems of Bilinear Equations in Finite Fields
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چکیده
can be solved with a ∈ A, b ∈ B, c ∈ C and d ∈ D. Gyarmati and Sárközy [3] generalized the results on the solvability of equation (1.1) to finite fields. They also study the solvability of other (higher degree) algebraic equations with solutions restricted to “large” subsets of Fq, where Fq denote the finite field of q elements. Using exponential sums, Hart and Iosevich [5] studied similar problem for any bilinear equation over Fq . They showed that for any two sets A,B ⊆ Fq , with |A||B| > Cq
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تاریخ انتشار 2009