Small gaps between configurations of prime polynomials

@article{Parshall2015SmallGB,
  title={Small gaps between configurations of prime polynomials},
  author={Hans Parshall},
  journal={arXiv: Number Theory},
  year={2015}
}
  • Hans Parshall
  • Published 2015
  • Mathematics
  • arXiv: Number Theory
  • 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-Y\i ld\i r\i m and Green-Tao to find arbitrarily long arithmetic progressions of generalized twin primes. 

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    GAPS BETWEEN PRIMES

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    The twin prime conjecture

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