A smoothed GPY sieve

@article{Motohashi2008ASG,
  title={A smoothed GPY sieve},
  author={Yoichi Motohashi and Janos Pintz},
  journal={Bulletin of the London Mathematical Society},
  year={2008},
  volume={40}
}
  • Y. Motohashi, J. Pintz
  • Published 27 February 2006
  • Mathematics
  • Bulletin of the London Mathematical Society
Combining the arguments developed in the works of D. A. Goldston, S. W. Graham, J. Pintz, and C. Y. Yildirim [Preprint, 2005, arXiv: math.NT/506067] and Y. Motohashi [Number theory in progress – A. Schinzel Festschrift (de Gruyter, 1999) 1053–1064] we introduce a smoothing device to the sieve procedure of Goldston, Pintz, and Yildirim (see [Proc. Japan Acad. 82A (2006) 61–65] for its simplified version). Our assertions embodied in Lemmas 3 and 4 of this article imply that a natural extension of… 
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E-mail: ymoto@math.cst.nihon-u.ac.jp János Pintz Rényi Mathematical Institute of the Hungarian Academy of Sciences, H-1364 Budapest
  • E-mail: ymoto@math.cst.nihon-u.ac.jp János Pintz Rényi Mathematical Institute of the Hungarian Academy of Sciences, H-1364 Budapest
Small gaps between primes or products of two primes
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