Pfister Numbers over Rigid Fields
Number Theory
2021-02-01 v1
Abstract
For certain types of quadratic forms lying in the n-th power of the fundamental ideal, we compute upper bounds and where possible exact values for the minimal number of general n-fold Pfister forms, that are needed to write the Witt class of that given form as the sum of the Witt classes of those n-fold Pfister forms. We restrict ourselves mostly to the case of so called rigid fields, i.e. fields in which binary anisotropic forms represent at most 2 square classes.
Cite
@article{arxiv.2101.12585,
title = {Pfister Numbers over Rigid Fields},
author = {Nico Lorenz},
journal= {arXiv preprint arXiv:2101.12585},
year = {2021}
}