Class numbers of positive definite ternary quaternion Hermitian forms (Q793770)

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scientific article; zbMATH DE number 3857215
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Class numbers of positive definite ternary quaternion Hermitian forms
scientific article; zbMATH DE number 3857215

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    Class numbers of positive definite ternary quaternion Hermitian forms (English)
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    1983
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    The author uses his formula for the traces of Brandt matrices associated with positive definite quaternion Hermitian forms [J. Fac. Sci., Univ. Tokyo, Sect. I A 27, 227-245 (1980; Zbl 0433.10017)] to work out explicit formulas for the class numbers of genera of ternary quaternion Hermitian lattices of prime discriminant. The proofs will appear elsewhere.
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    traces of Brandt matrices
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    quaternion Hermitian forms
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    explicit formulas
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    class numbers of genera
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    ternary quaternion Hermitian lattices of prime discriminant
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