Ubiquity of simplices in subsets of vector spaces over finite fields

The primes contain arbitrarily long arithmetic progressions

Benjamin Green, Terence Tao · Annals of Mathematics · 2008 · 822 citations · Full text

Natural Sciences, Mathematics, Number Theory +12

On sets of integers containing k elements in arithmetic progression

Endre Szemerédi · Acta Arithmetica · 1975 · 800 citations · Full text

Natural Sciences, Computer Science, Mathematics +10

On Some Exponential Sums

André Weil · Proceedings of the National Academy of Sciences · 1948 · 792 citations · Full text

Natural Sciences, Mathematics, Probability Theory +6

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

Erdös distance problem in vector spaces over finite fields

Alex Iosevich, M. Rudnev · Transactions of the American Mathematical Society · 2007 · 161 citations · Full text

Natural Sciences, Computer Science, Mathematics +9