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 numberz P of solutions whose components have modulus <P.
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Partially supported by NSF contract NSF-MCS-8015356.
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Schmidt, W.M. On cubic polynomials. Monatshefte für Mathematik 93, 329–348 (1982). https://doi.org/10.1007/BF01295233
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DOI: https://doi.org/10.1007/BF01295233