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EXPLICIT FORMULA FOR COEFFICIENTS OF TODD SERIES OF LATTICE CONES
- Authors
- Chae, Hi-Joon; Jun, Byungheup; Lee, Jungyun
- Issue Date
- 2015
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- Dedekind sum; lattice cone; Todd series
- Citation
- COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, v.30, no.2, pp.73 - 79
- Journal Title
- COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 30
- Number
- 2
- Start Page
- 73
- End Page
- 79
- ISSN
- 1225-1763
- 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.
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Related Researcher
- Chae, Hi joon
- Education (Mathematics Education)