Gonii: Universal Quaternary Quadratic Forms

نویسندگان

  • Pete L. Clark
  • Jacob Hicks
  • Katherine Thompson
  • Nathan Walters
چکیده

We continue our study of quadratic forms using Geometry of Numbers methods by considering universal quaternary positive definite integral forms of square discriminant. We give a small multiple theorem for such forms and use it to prove universality for all nine universal diagonal forms. The most interesting case is x2 + 2y2 + 5z2 + 10w2, which required computer calculations.

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تاریخ انتشار 2011