# 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} }

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…

## 27 Citations

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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

Small gaps between primes or products of two primes

- Small gaps between primes or products of two primes