A Mean Value Theorem in Geometry of Numbers

@article{Siegel1945AMV,
  title={A Mean Value Theorem in Geometry of Numbers},
  author={Carl Ludwig Siegel},
  journal={Annals of Mathematics},
  year={1945},
  volume={46},
  pages={340}
}
  • C. L. Siegel
  • Published 1 April 1945
  • Mathematics
  • Annals of Mathematics

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  • Yihan ZhangS. Vatedka
  • Computer Science
    2019 IEEE International Symposium on Information Theory (ISIT)
  • 2019
The goal of the present paper is to obtain a better understanding of the smallest achievable list size as a function of the gap to capacity, and shows a reduction from arbitrary codes to spherical codes, and derives a lower bound on the list size of typical random spherical codes.
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