• Corpus ID: 244799354

A multi-linear geometric estimate

  title={A multi-linear geometric estimate},
  author={Charlotte Aten and Alex Iosevich},
Abstract. We give a generalization of the geometric estimate used by Hart and the second author in their 2008 work on sums and products in finite fields. Their result concerned level sets of non-degenerate bilinear forms over finite fields, while in this work we prove that if E ⊂ Fq is sufficiently large and ̟ is a non-degenerate multi-linear form then ̟ will attain all possible nonzero values as its arguments vary over E, under a certain quantitative assumption on the extent to which E is… 


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