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

De Wannemacker Stefan | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

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

Author(s) -

De Wannemacker Stefan

Publication year - 2007

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200410551

Subject(s) - mathematics , annihilator , conjecture , quadratic equation , ideal (ethics) , pure mathematics , ring (chemistry) , maximal ideal , torsion (gastropod) , discrete mathematics , algebra over a field , geometry , law , chemistry , medicine , surgery , organic chemistry , political science

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)

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research