25 citations · 26 across the 3 of their papers we have counts for
3 papers
math.NT2005
Primes in Tuples I
D. A. Goldston, J. Pintz, C. Y. Yildirim
We introduce a method for showing that there exist prime numbers which are very close together. The method depends on the level of distribution of primes in arithmetic progressions…
math.NT2005★ 1 cited
Small Gaps between Primes Exist
D. A. Goldston, Y. Motohashi, J. Pintz +1
In the recent preprint [3], Goldston, Pintz, and Yıldırım established, among other things, $$ \liminf_{n\to\infty}{p_{n+1}-p_n\over\log p_n}=0,\leqno(0) $$ with the th pri…
math.NT2005★ 25 cited
Small Gaps Between Primes I
D. A. Goldston, C. Y. Yildirim
We use short divisor sums to approximate prime tuples and moments for primes in short intervals. By connecting these results to classical moment problems we are able to prove that…