On a sphere that passes through n lattice points

  • Authors:

  • H. Maehara

  • Affiliations:

  • College of Education, Ryukyu University, Okinawa, Japan

  • Venue:
  • European Journal of Combinatorics
  • Year:
  • 2010

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Abstract

We prove that for every nd=m=2, there is a sphere in R^d that passes through exactly n lattice points, and moreover these n lattice points span an m-dimensional flat.