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An exact mass formula for quadratic forms over number fields

2005
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Journal für die Reine und Angewandte Mathematik
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In this paper we give an explicit formula for the mass of a quadratic form in n ≥ 3 variables with respect to a maximal lattice over an arbitrary number field k, and use this to find the mass of many -maximal lattices. We make the minor technical assumption that locally the determinant of the form is a unit up to a square if n is odd. The corresponding formula for k totally real was recently computed by Shimura [Shi]. §0 Summary Our goal is to give an exact formula for the mass of the genus of

doi:10.1515/crll.2005.2005.584.1
fatcat:wo4y2ykzzzfjzoedtqcxrzmogm