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The primes contain arbitrarily long arithmetic progressions
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136

A NEW PROOF OF SZEMERÉDI’S THEOREM
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Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions
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On sets of integers containing no k elements in arithmetic progression
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On some sequences of integers
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78

Nonconventional ergodic averages and nilmanifolds
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An ergodic Szemer'edi theorem for commuting transformations
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107

A NEW PROOF OF SZEMERÉDI’S THEOREM FOR ARITHMETIC PROGRESSIONS OF LENGTH FOUR
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The dichotomy between structure and randomness, arithmetic progressions, and the primes
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46

UNIVERSAL CHARACTERISTIC FACTORS AND FURSTENBERG AVERAGES
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Polynomial extensions of van der Waerden’s and Szemerédi’s theorems
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A quantitative ergodic theory proof of Szemerédi’s theorem
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On sets of integers containing no four elements in arithmetic progression
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140

On certain sets of integers
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Additive Combinatorics
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On certain sets of positive density
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Restriction theory of Selberg’s sieve, with applications, to appear, Journal de Theorie de Nombres de Bordeaux
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A Szemeréditype regularity lemma in abelian groups
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225

Ergodic Theory and Combinatorial Number Theory
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