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Siegel–Weil formula
In
mathematics
, the
Siegel–Weil
formula
, introduced by as an
extension
of the
results
of,
expresses
an
Eisenstein series
as a
weighted average
of
theta series
of
lattices
in
a genus
, where the
weights
are
proportional
to the
inverse
of the order of the
automorphism group
of the
lattice
.
For the
constant
terms this is essentially the
Smith–Minkowski–Siegel mass formula
.