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

✍ Scribed by Stefan De Wannemacker

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 144 KB
Volume: 280
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200410551

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✦ Synopsis

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. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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