论文信息 - The number of sumsets in a finite field - 字舞流文

The number of sumsets in a finite field

We prove that there are 2p/2+o(p) distinct sumsets A + B in Fp where |A|, |B| → ∞ as p →∞.

Noga Alon | Andrew Granville | Adrián Ubis

[1] Noga Alon. Large sets in finite fields are sumsets , 2007 .

[2] Ben Green,et al. Counting sumsets and sum-free sets modulo a prime , 2004 .

[3] J. Pollard. A Generalisation of the Theorem of Cauchy and Davenport , 1974 .

[4] A. Cauchy. Oeuvres complètes: Recherches sur les nombres , 2009 .