Siegel–Weil formula
id:
siegel-weil-formula-297-15924106
title:
Siegel–Weil formula
text:
In mathematics, the Siegel–Weil formula, introduced by Weil (1964, 1965) as an extension of the results of Siegel (1951, 1952), 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.
brand slug:
wiki
category slug:
encyclopedia
description:
Expresses Eisenstein series as a weighted average of theta series of lattices in a genus
original url:
https://en.wikipedia.org/wiki/Siegel%E2%80%93Weil_formula
date created:
date modified:
2023-07-20T20:38:33Z
main entity:
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image:
fields total:
13
integrity:
14