13 citations · 24 across the 14 of their papers we have counts for
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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…