A very special case of Siegel's mass formula and Hecke operators
Pavel Guerzhoy, Ben Kane
TL;DR
This paper derives an explicit version of a special case of Siegel's mass formula by utilizing Hecke operators and the arithmetic properties of imaginary quadratic fields.
Contribution
It provides a new explicit formula for a particular case of Siegel's mass formula using Hecke operators and imaginary quadratic fields.
Findings
Explicit formula for a special case of Siegel's mass formula
Application of Hecke operators in deriving mass formulas
Enhanced understanding of arithmetic in imaginary quadratic fields
Abstract
We make use of Hecke operators and arithmetic of imaginary quadratic fields to derive an explicit version of a special case of Siegel's mass formula.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Finite Group Theory Research · Mathematical Analysis and Transform Methods