Mathematics – Number Theory
Scientific paper
2011-08-17
Mathematics
Number Theory
39 pages, 4 tables
Scientific paper
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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