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Hasse's principle on quaternionic anti-hermitian forms

Hasse's principle on quaternionic anti-hermitian forms

In this paper we consider so called Hasse's principle concerning quater- nionic anti-hermitian forms over an algebraic number field.Our main result will show that, when the number of variables is different from two, a quater- nionic anti-hermitian form over an algebraic number field represents zero if and only if it …