Polyhedral Gauss sums, and polytopes with symmetry

Polyhedral Gauss sums, and polytopes with symmetry

We define certain natural finite sums of nn'th roots of unity, called GP(n)GP(n), that are associated to each convex integer polytope PP, and which generalize the classical 11-dimensional Gauss sum G(n)G(n) defined over Z/nZZ/nZ, to higher dimensional abelian groups and integer polytopes. We...

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Bibliographic Details
Main Authors: Malikiosis, Romanos-Diogenes, Robins, Sinai, Zhang, Yichi
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2016
Subjects:
Gauss sum
lattice
Weyl group
multi-tiling
polyhedron
solid angle
Gram relations
Online Access:https://hdl.handle.net/10356/80394
http://hdl.handle.net/10220/40540
http://arxiv.org/abs/1508.01876

Internet

https://hdl.handle.net/10356/80394
http://hdl.handle.net/10220/40540
http://arxiv.org/abs/1508.01876

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