Annihilating polynomials for quadratic forms and Stirling numbers of the second kind
Number Theory
2007-05-23 v1 Rings and Algebras
Abstract
We present a set of generators of the full annihilator ideal for the Witt ring of an arbitrary field of characteristic unequal to two satisfying a non-vanishing condition on the powers of the fundamental ideal in the torsion part of the Witt ring. This settles a conjecture of Ongenae and Van Geel. This result could only be proved by first obtaining a new lower bound on the 2-adic valuation of Stirling numbers of the second kind.
Keywords
Cite
@article{arxiv.math/0702817,
title = {Annihilating polynomials for quadratic forms and Stirling numbers of the second kind},
author = {Stefan A. G. De Wannemacker},
journal= {arXiv preprint arXiv:math/0702817},
year = {2007}
}
Comments
13 pages, accepted by Mathematische Nachrichten