A note on lattice points and optimal stretching
Volume 157 / 2019
Colloquium Mathematicum 157 (2019), 65-82
MSC: Primary 11P21, 42B10.
DOI: 10.4064/cm7615-5-2018
Published online: 27 February 2019
Abstract
We study the classical lattice point problem and its variant, an optimal stretching problem, associated with a special class of high-dimensional finite type domains. Our proofs rely on an explicit bound of the Fourier transform of indicator functions of domains under consideration.
