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On additive properties of product sets in an arbitrary finite field

โœ Scribed by ALexey Glibichuk; Misha Rudnev

Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
110 KB
Volume
108
Category
Article
ISSN
0021-7670

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Let be a finite subset of the Cartesian product W 1 ร— โ€ข โ€ข โ€ข ร— W n of n sets. For A โŠ‚ {1, 2, . . . , n}, denote by A the projection of onto the Cartesian product of W i , i โˆˆ A. Generalizing an inequality given in an article by Shen, we prove that , 2, . . . , n}. This inequality is applied to give s