Discrete–geometric functions associated to polyhedral cones and point sets

• Main Author: Wang, Xinli
• Other Authors: Chee Yeow Meng
• Format: Theses and Dissertations
• Language: English
• Published: 2012
• Subjects: DRNTU::Science::Mathematics::Discrete mathematics
• Online Access: https://hdl.handle.net/10356/50755
• Institution: Nanyang Technological University

In this report, we use Fourier analysis and Diophantine analysis to study functions associated to polyhedral cones and finite point sets. We present a close relationship between the function associated to integral cones and the classical Dedekind sums. The theory of the polytope algebra—the universa...