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Fourier methods and non degenerate polynomials
We use Fourier methods to give a shorter proof of Vu's result and extend it to a more general setting, namely: For any non-degenerate polynomials f(x,y)∈Fq[x,y] and A,B,C,D⊂Fq, either we have|A+C||B+D||f(A,B)|≳|A||B|q, or|A+C||B+D||f(A,B)|2≳|A|2|B|2|C||D|q.
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Published in: | Finite fields and their applications 2018-09, Vol.53, p.140-143 |
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Main Author: | |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites |
Online Access: | Get full text |
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Summary: | We use Fourier methods to give a shorter proof of Vu's result and extend it to a more general setting, namely: For any non-degenerate polynomials f(x,y)∈Fq[x,y] and A,B,C,D⊂Fq, either we have|A+C||B+D||f(A,B)|≳|A||B|q, or|A+C||B+D||f(A,B)|2≳|A|2|B|2|C||D|q. |
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ISSN: | 1071-5797 1090-2465 |
DOI: | 10.1016/j.ffa.2018.06.002 |