54 citations · 504 across the 52 of their papers we have counts for
3 papers · 2 filters
The two-point correlation function of the fractional parts of \sqrt{n} is Poisson
Daniel El-Baz, Jens Marklof, Ilya Vinogradov
Elkies and McMullen [Duke Math.J.~123 (2004) 95--139] have shown that the gaps between the fractional parts of \sqrt n for n=1,\ldots,N, have a limit distribution as N tends to inf…
The distribution of directions in an affine lattice: two-point correlations and mixed moments
Daniel El-Baz, Jens Marklof, Ilya Vinogradov
We consider an affine Euclidean lattice and record the directions of all lattice vectors of length at most . Strömbergsson and the second author proved in [Annals of Math.~173 (…
Gaps between logs
Jens Marklof, Andreas Strömbergsson
We calculate the limiting gap distribution for the fractional parts of log n, where n runs through all positive integers. By rescaling the sequence, the proof quickly reduces to an…