A note on lattice points and optimal stretching

Jingwei Guo, Tao Jiang Colloquium Mathematicum MSC: Primary 11P21, 42B10. DOI: 10.4064/cm7615-5-2018 Opublikowany online: 27 February 2019

Streszczenie

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.

Autorzy

  • Jingwei GuoSchool of Mathematical Sciences
    University of Science and Technology of China
    Hefei, Anhui Province 230026
    People’s Republic of China
    e-mail
  • Tao JiangSchool of Mathematical Sciences
    University of Science and Technology of China
    Hefei, Anhui Province 230026
    People’s Republic of China
    e-mail

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