Prerequisites to understand Green-Tao Theorem? My aim is to understand Green-Tao theorem and all the related works. There is a question about understanding Green-Tao theorem but I seek for more broad references including the theorem and all other works.

Understand Szemeredi's relative theorem, the principle of transference, the norms of gowers and some results of analytical number theory. The W trick is fundamental


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*Primes in tuples I http://annals.math.princeton.edu/wp-content/uploads/annals-v170-n2-p10-p.pdf

*A new proof of szemeredi theorem https://pdfs.semanticscholar.org/8861/7c3db354a943a9a6e2515d82797b6662f2c5.pdf

*A quantitative ergodic theory proof of Szemerédi's theorem.
https://arxiv.org/abs/math/0405251

*THE ERGODIC AND COMBINATORIAL APPROACHES TO SZEMEREDI’S THEOREM
https://arxiv.org/pdf/math/0604456.pdf

*The primes contain arbitrarily long arithmetic progressions
https://arxiv.org/abs/math/0404188
there is an extension of this theorem is for the Chen Primes and the prime numbers of the form $x ^ 2 + y^ 2 + 1$. They are the ones I know
Sun, Yu-Chen; Pan, Hao (2017). "The Green-Tao theorem for primes of the form $x^2+y^2+1$
https://arxiv.org/pdf/1708.08629.pdf
The Chen primes contain arbitrarily long arithmetic progressions.  B Zhou 2009
https://eudml.org/doc/278366
