25 citations · 27 across the 3 of their papers we have counts for
4 papers
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…
Small gaps between primes or almost primes
D. A. Goldston, S. W. Graham, J. Pintz +1
Let denote the prime. Goldston, Pintz, and Yildirim recently proved that We give an alternative proof of…
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…
Higher correlations of divisor sums related to primes I: triple correlations
Daniel A. Goldston, Cem Yalcin Yildirim
We obtain the triple correlations for a truncated divisor sum related to primes. We also obtain the mixed correlations for this divisor sum when it is summed over the primes, and g…