Open AccessEXPLICIT FORMULA FOR COEFFICIENTS OF TODD SERIES OF LATTICE CONES
Author(s) -
Hi-joon Chae,
Byungheup Jun,
Jungyun Lee
Publication year - 2015
Publication title -
daehan suhaghoe nonmunjib/daehan suhakoe nonmunjip
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.286
H-Index - 15
eISSN - 2234-3024
pISSN - 1225-1763
DOI - 10.4134/ckms.2015.30.2.073
Subject(s) - mathematics , degenerate energy levels , series (stratigraphy) , lattice (music) , dedekind cut , pure mathematics , mathematical analysis , combinatorics , quantum mechanics , physics , paleontology , acoustics , biology
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. © 2015 Korean Mathematical Societyclose