Polyhedral Gauss sums, and polytopes with symmetry

We define certain natural finite sums of $n$'th roots of unity, called $G_P(n)$, that are associated to each convex integer polytope $P$, and which generalize the classical $1$-dimensional Gauss sum $G(n)$ defined over $\mathbb Z/ {n \mathbb Z}$, to higher dimensional abelian groups and integer...

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Bibliographic Details
Main Authors: Romanos Diogenes Malikiosis, Sinai Robins, Yichi Zhang
Format: Article
Language:English
Published: Carleton University 2016-04-01
Series:Journal of Computational Geometry
Online Access:http://jocg.org/index.php/jocg/article/view/231