Title of article
ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER
Author/Authors
J. BOURGAIN، نويسنده , , A. A. GLIBICHUK and S. V. KONYAGIN، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
19
From page
380
To page
398
Abstract
Our first result is a ‘sum-product’ theorem for subsets A of the finite field Fp, p prime, providing
a lower bound on max(|A + A|, |A · A|). The second and main result provides new bounds on
exponential sums
x1,...,xk
∈A
exp(2πix1 . . . xkξ/p),
where A ⊂ Fp.
Journal title
journal of the london mathematical society
Serial Year
2006
Journal title
journal of the london mathematical society
Record number
708379
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