English

Multiples of Pfister forms

Number Theory 2015-02-10 v1

Abstract

The isotropy of multiples of Pfister forms is studied. In particular, an improved lower bound on the values of their first Witt indices is obtained. A number of corollaries of this result are outlined. An investigation of generic Pfister multiples is also undertaken. These results are applied to distinguish between properties preserved by Pfister products.

Keywords

Cite

@article{arxiv.1502.02543,
  title  = {Multiples of Pfister forms},
  author = {James O'Shea},
  journal= {arXiv preprint arXiv:1502.02543},
  year   = {2015}
}

Comments

14 pages

R2 v1 2026-06-22T08:25:36.151Z