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arXiv · 0908.2642

Green-Tao theorem in function fields

Thai Hoang Le
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Abstract

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 $\{f+ Pg : \d(P)<k \}, g \neq 0$.

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Thai Hoang Le. 2009-09-02. Green-Tao theorem in function fields. https://arxiv.org/abs/0908.2642

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