Abstract
We study the Fourier transforms of indicator functions of some special high-dimensional finite type domains and obtain estimates of the associated lattice point discrepancy.
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This work was partially supported by the NSFC Grant No. 11501535 and the Research Foundation of the University of Science and Technology of China No. KY0010000027. I thank the referee for various suggestions towards improving this exposition.
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Guo, J. A note on lattice points in model domains of finite type in \({\mathbb{R}^d}\) . Arch. Math. 108, 45–53 (2017). https://doi.org/10.1007/s00013-016-0988-x
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DOI: https://doi.org/10.1007/s00013-016-0988-x