# EXPLICIT FORMULA FOR COEFFICIENTS OF TODD SERIES OF LATTICE CONES

• Chae, Hi-Joon ;
• Jun, Byungheup ;
• Lee, Jungyun
• Received : 2015.01.19
• Published : 2015.04.30
• 105 36

#### Abstract

Todd series are associated to maximal non-degenerate lattice cones. The coefficients of Todd series of a particular class of lattice cones are closely related to generalized Dedekind sums of higher dimension. We generalize this construction and obtain an explicit formula for coefficients of the Todd series. It turns out that every maximal non-degenerate lattice cone, hence the associated Todd series can be obtained in this way.

#### Keywords

Dedekind sum;lattice cone;Todd series

#### References

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#### Acknowledgement

Supported by : National Research Foundation of Korea(NRF)