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

Пт, 08/19/2011 - 15:01 — SomNambul
Authors: Jonathan Hanke
Subjects: Number Theory
link: http://arxiv.org/abs/1108.3580
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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