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Full-Text Articles in Number Theory
Isotropy And Factorization In Reduced Witt Rings, Robert W. Fitzgerald
Isotropy And Factorization In Reduced Witt Rings, Robert W. Fitzgerald
Articles and Preprints
We consider reduced Witt rings of finite chain length. We show there is a bound, in terms of the chain length and maximal signature, on the dimension of anisotropic, totally indefinite forms. From this we get the ascending chain condition on principal ideals and hence factorization of forms into products of irreducible forms.
Norms Of Sums Of Squares, Robert W. Fitzgerald
Norms Of Sums Of Squares, Robert W. Fitzgerald
Articles and Preprints
For a finite separable extension K/F of fields of characteristic not 2, the norm of a sum of 2n squares in K is a sum of 2n squares in F. We find explicit identities.