Combinatorial problems in finite fields and Sidon sets

Details Combinatorial problems in finite fields and Sidon sets Combinatorial problems in finite fields and Sidon sets

2010-03-18

arxiv.org/abs/1003.3576v2

Mathematics

Number Theory

13 pages

Scientific paper

We use Sidon sets to present an elementary method to study some combinatorial
problems in finite fields, such as sum product estimates, solubility of some
equations and distribution of sequences in small intervals. We obtain classic
and more recent results avoiding the use of exponential sums, the usual tool to
deal with these problems.

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