Green-Tao theorem in function fields

Details Green-Tao theorem in function fields Green-Tao theorem in function fields

2009-08-18

arxiv.org/abs/0908.2642v2

Mathematics

Number Theory

31 pages, unabridged version. Corrected typos and minor mistakes

Scientific paper

We adapt the proof of the Green-Tao theorem on arithmetic progressions in
primes to the setting of polynomials over a finite field, to show that for
every $k$, the irreducible polynomials in $\mathbf{F}_q[t]$ contain
configurations of the form $\{f+ Pg : \d(P)

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