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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Detaylı Bibliyografya
Asıl Yazarlar: Malikiosis, Romanos-Diogenes, Robins, Sinai, Zhang, Yichi
Diğer Yazarlar: School of Physical and Mathematical Sciences
Materyal Türü: Journal Article
Dil:English
Baskı/Yayın Bilgisi: 2016
Konular:
Gauss sum
lattice
Weyl group
multi-tiling
polyhedron
solid angle
Gram relations
Online Erişim: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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