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arXiv · 1108.3580

The Structure of Masses of rank $n$ Quadratic Lattices of varying determinant over number fields

Jonathan Hanke
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Abstract

In this paper we establish a fundamental structural result for formal series encoding the total non-archimedean masses of quadratic lattices of varying determinant squareclasses, but with fixed rank $n$ and signature over any fixed number field. We conclude with some local computations for $n=2$, and use these to derive an analytic class number formula for CM extensions.

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Jonathan Hanke. 2011-08-17. The Structure of Masses of rank $n$ Quadratic Lattices of varying determinant over number fields. https://arxiv.org/abs/1108.3580

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