most citedU-Invariants for forms of higher degree

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2007★ 1 cited

U-Invariants for forms of higher degree

S. Pumpluen

Both a general and a diagonal u-invariant for forms of higher degree are defined, generalizing the u-invariant of quadratic forms. Both old and new results on these invariants are…

math.RA2007

A condition for cyclic algebras to be split

S. Pumpluen

A simple sufficient condition for certain cyclic algebras of odd degree d to be split is presented. It employs certain binary forms of degree d and the values they represent. A sim…

math.RA2007

Norm principles for forms of higher degree permitting composition

R. W. Fitzgerald, S. Pumpluen

Let F be a field of characteristic 0 or greater than d. Scharlau's norm principle holds for separable field extensions K over F, for certain forms of degree d over F which perm…