Annihilating polynomials for quadratic forms and Stirling numbers of the second kind

Details Annihilating polynomials for quadratic forms and Stirling numbers of the second kind Annihilating polynomials for quadratic forms and Stirling numbers of the second kind

2007-02-27

arxiv.org/abs/math/0702817v1

Mathematics

Number Theory

13 pages, accepted by Mathematische Nachrichten

Scientific paper

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.

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