Monatshefte für Mathematik

, Volume 93, Issue 4, pp 329–348

On cubic polynomials

IV. systems of rational equations
  • Wolfgang M. Schmidt
Article

Abstract

It is shown that a system ofr homogeneous cubic equations with rational coefficients has a nontrivial solution in rational integers if the number of variables is at least (10r)5. For most such systems, an asymptotic formula holds for the numberzPof solutions whose components have modulus <P.

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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Wolfgang M. Schmidt
    • 1
  1. 1.Mathematics DepartmentUniversity of ColoradoBoulderUSA

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