Abstract

The variance of the number of lattice points inside the dilated bounded set rD with random position in ℝ d has asymptotics ∼ r d−1 if the rotational average of the squared modulus of the Fourier transform of the set is O(ϰ −d−1). The asymptotics follow from Wiener’s Tauberian theorem.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.