EXPLICIT FORMULA FOR COEFFICIENTS OF TODD SERIES OF LATTICE CONES

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초록

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.

키워드

Dedekind sumlattice coneTodd series
제목
EXPLICIT FORMULA FOR COEFFICIENTS OF TODD SERIES OF LATTICE CONES
저자
Chae, Hi-JoonJun, ByungheupLee, Jungyun
DOI
10.4134/CKMS.2015.30.2.073
발행일
2015
유형
Article
저널명
대한수학회논문집
30
2
페이지
73 ~ 79