Article ID Journal Published Year Pages File Type
6415327 Journal of Number Theory 2016 19 Pages PDF
Abstract

We find arbitrarily large configurations of irreducible polynomials over finite fields that are separated by low degree polynomials. Our proof adapts an argument of Pintz from the integers, in which he combines the methods of Goldston-Pintz-Yıldırım and Green-Tao to find arbitrarily long arithmetic progressions of generalized twin primes.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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