<p>An explicit upper bound is established for the least non-trivial integer zero of an arbitrary cubic form <i>C</i> ∈ ℤ[<i>X</i><sub>1</sub>,…,<i>X</i><sub><i>n</i></sub>], provided that <i>n</i> ≥ 14.</p>

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Least Zero of a Cubic Form

  • Yixiu Xiao,
  • Hongze Li

摘要

An explicit upper bound is established for the least non-trivial integer zero of an arbitrary cubic form C ∈ ℤ[X1,…,Xn], provided that n ≥ 14.