C. Yıldırım

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20012006

most citedHigher correlations of divisor sums related to primes III: k-correlations

53 citations · 80 across the 6 of their papers we have counts for

collaborators

6 papers

math.NT2006

On small distances between ordinates of zeros of $ζ (s)$ and $ζ^{'} (s)$

M. Z. Garaev, C. Y. Yildirim

We prove that for any zero $β^{'} + i γ^{'}$ of $ζ^{'} (s)$ there exists a zero $β + iγ$ of $ζ (s)$ such that $∣ γ - γ^{'} ∣ ≪ ∣ β^{'} - \frac{1}{2} ∣,$ and we provide some other related results.

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★ 2 cited

Small gaps between primes or almost primes

D. A. Goldston, S. W. Graham, J. Pintz +1

Let $p_{n}$ denote the $n^{t h}$ prime. Goldston, Pintz, and Yildirim recently proved that $lim inf_{n \to \infty} \frac{( p _{n + 1} - p _{n} )}{l o g p _{n}} = 0.$ We give an alternative proof of…

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…

math.NT2002★ 53 cited

Higher correlations of divisor sums related to primes III: k-correlations

Daniel A. Goldston, Cem Yalcin Yildirim

We obtain the general k-correlations for a short divisor sum related to primes.

math.NT2001

Higher correlations of divisor sums related to primes I: triple correlations