Sums of quaternion squares and a theorem of Watson
Copyright policy )Sums of quaternion squares and a theorem of Watson
We use a representability theorem of G. L. Watson to examine sums of squares in Quaternion rings with integer coefficients. This allows us to determine a large family of such rings where every element expressible as the sum of squares can be written as the sum of 3 squares.
- McDaniel College United States
quaternions, Mathematics - Number Theory, FOS: Mathematics, Waring's problem, Hilbert-Waring theorem, Waring's problem and variants, Quaternion and other division algebras: arithmetic, zeta functions, Number Theory (math.NT), 11P05 (Primary) 11E25, 11R52 (Secondary), Sums of squares and representations by other particular quadratic forms
quaternions, Mathematics - Number Theory, FOS: Mathematics, Waring's problem, Hilbert-Waring theorem, Waring's problem and variants, Quaternion and other division algebras: arithmetic, zeta functions, Number Theory (math.NT), 11P05 (Primary) 11E25, 11R52 (Secondary), Sums of squares and representations by other particular quadratic forms
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