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Least zero of a cubic form

Number Theory 2024-07-02 v2
Authors: Yixiu Xiao , Hongze Li
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Abstract

An explicit upper bound is established for the least non-trivial integer zero of an arbitrary cubic form C∈Z[X1,...,Xn],C \in \mathbb{Z}[X_1,...,X_n], provided that n≥14.n \geq 14.

Keywords

upper bounds number theory cubic fourfolds

Cite

@article{arxiv.2404.00518,
  title  = {Least zero of a cubic form},
  author = {Yixiu Xiao and Hongze Li},
  journal= {arXiv preprint arXiv:2404.00518},
  year   = {2024}
}

Comments

25 pages, comments welcome

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R2 v1 2026-06-28T15:39:20.707Z