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The prime divisors in every class contain arbitrary large truncated classes

2012/12/20 by Chunlei Liu, Liu, Chunlei
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1212.4948

This is a function-field analogue of Green-Tao's theorem on prime arithmetic progressions. arXiv admin note: substantial text overlap with arXiv:1212.0089

arxiv created 2012/12/20 · arxiv updated 2012/12/21

Abstract

We show that the prime divisors in every class on a projective curve over a finite field contain arbitrary large truncated generalized classes of finite effective divisors.

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