Small gaps between primes exist
Goldston, Daniel Alan ; Motohashi, Yoichi ; Pintz, János ; Yıldırım, Cem Yalçın
Proc. Japan Acad. Ser. A Math. Sci., Tome 82 (2006) no. 2, p. 61-65 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
In the preprint [3], Goldston, Pintz, and Yıldırım established, among other things, \begin{equation} \liminf_{n\to\infty}{p_{n+1}-p_n\over\log p_n}=0, \end{equation} with $p_n$ the $n$th prime. In the present article, which is essentially self-contained, we shall develop a simplified account of the method used in [3]. We include a short expository last section.
Publié le : 2006-04-14
Classification:  Prime number,  11N05,  11P32 
@article{1146576181,
     author = {Goldston, Daniel Alan and Motohashi, Yoichi and Pintz, J\'anos and Y\i ld\i r\i m, Cem Yal\c c\i n},
     title = {Small gaps between primes exist},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {82},
     number = {2},
     year = {2006},
     pages = { 61-65},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1146576181}
}

Goldston, Daniel Alan; Motohashi, Yoichi; Pintz, János; Yıldırım, Cem Yalçın. Small gaps between primes exist. Proc. Japan Acad. Ser. A Math. Sci., Tome 82 (2006) no. 2, pp.  61-65. http://gdmltest.u-ga.fr/item/1146576181/