Polyhedral Gauss sums, and polytopes with symmetry

• المؤلفون الرئيسيون: Malikiosis, Romanos-Diogenes, Robins, Sinai, Zhang, Yichi
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2016
• الموضوعات: Gauss sum; lattice; Weyl group; multi-tiling; polyhedron; solid angle; Gram relations
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/80394; http://hdl.handle.net/10220/40540; http://arxiv.org/abs/1508.01876
• المؤسسة: Nanyang Technological University

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...