Conditional expanding bounds for two-variable functions over prime fields

A sum-product estimate in finite fields, and applications

Jean Bourgain, Nets Hawk Katz, Terence Tao · Geometric and Functional Analysis · 2004 · 377 citations

Natural Sciences, Mathematics, Number Theory +7

MORE ON THE SUM-PRODUCT PHENOMENON IN PRIME FIELDS AND ITS APPLICATIONS

Jean Bourgain · International Journal of Number Theory · 2005 · 261 citations

Natural Sciences, Mathematics, Algebra +8

Additive combinatorics

Choice Reviews Online · 2007 · 212 citations

Bounding multiplicative energy by the sumset

József Solymosi · Advances in Mathematics · 2009 · 148 citations

Natural Sciences, Mathematics, Thermodynamics +2

The Szemerédi–Trotter type theorem and the sum-product estimate in finite fields

Lê Anh Vinh · European Journal of Combinatorics · 2011 · 94 citations

Natural Sciences, Mathematics, Algebra +5