Mathematics – Number Theory
Scientific paper
2010-03-19
Mathematics
Number Theory
Scientific paper
We prove that the upper bound for the van der Corput property of the set of
perfect squares is O((log n)^{-1/3}), giving an answer to a problem considered
by Ruzsa and Montgomery. We do it by constructing non-negative valued, normed
trigonometric polynomials with spectrum in the set of perfect squares not
exceeding n, and a small free coefficient a_0=O((log n)^{-1/3}).
No associations
LandOfFree
On van der Corput property of squares does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On van der Corput property of squares, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On van der Corput property of squares will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-354515