On the set of the difference of primes
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- by Wen Huang and XiaoSheng Wu PDF
- Proc. Amer. Math. Soc. 145 (2017), 3787-3793 Request permission
Abstract:
In this work we prove that the set of the difference of primes is a $\Delta _r^*$-set. The work is based on the recent dramatic new developments in the study of bounded gaps between primes, reached by Zhang, Maynard and Tao.References
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Additional Information
- Wen Huang
- Affiliation: School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, People’s Republic of China
- MR Author ID: 677726
- Email: wenh@mail.ustc.edu.cn
- XiaoSheng Wu
- Affiliation: School of Mathematics, Hefei University of Technology, Hefei 230009, People’s Republic of China
- Email: xswu@amss.ac.cn
- Received by editor(s): December 26, 2014
- Received by editor(s) in revised form: September 17, 2015, and October 18, 2016
- Published electronically: April 12, 2017
- Additional Notes: The first author was supported by NSFC (11225105 and 11431012)
The second author was supported by NSFC (11401550 and 11571335). Xiosheng Wu served as corresponding author for this paper. - Communicated by: Yingfei Yi
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 3787-3793
- MSC (2010): Primary 11N05, 37A45
- DOI: https://doi.org/10.1090/proc/13533
- MathSciNet review: 3665033