ANNIHILATING POLYNOMIALS FOR QUADRATIC FORMS AND STIRLING NUMBERS OF THE SECOND KIND

@inproceedings{Wannemacker2007ANNIHILATINGPF,
  title={ANNIHILATING POLYNOMIALS FOR QUADRATIC FORMS AND STIRLING NUMBERS OF THE SECOND KIND},
  author={Stefan A. G. De Wannemacker},
  year={2007}
}
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 nonvanishing 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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