Baake, Michael and Grimm, Uwe
(2006).
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| DOI (Digital Object Identifier) Link: | https://doi.org/10.1524/zkri.2006.221.8.571 |
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Abstract
Planar coincidence site lattices and modules with N-fold symmetry are well understood in a formulation based on cyclotomic fields, in particular for the class number one case, where they appear as certain principal ideals in the corresponding ring of integers. We extend this approach to multiple coincidences, which apply to triple or multiple junctions. In particular, we give explicit results for spectral, combinatorial and asymptotic properties in terms of Dirichlet series generating functions.
| Item Type: | Article |
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| ISSN: | 0044-2968 |
| Extra Information: | Some of the symbols may not have transferred correctly into this bibliographic record and/or abstract.---
Preprint version math.MG/0511306 available at http://arxiv.org/abs/math.MG/0511306 |
| Keywords: | lattices; Coincidence ideals; Planar modules; Cyclotomic fields; Dirichlet series; Asymptotic properties |
| Academic Unit/School: | Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics Faculty of Science, Technology, Engineering and Mathematics (STEM) |
| Item ID: | 5815 |
| Depositing User: | Uwe Grimm |
| Date Deposited: | 07 Nov 2006 |
| Last Modified: | 29 Nov 2016 20:29 |
| URI: | http://oro.open.ac.uk/id/eprint/5815 |
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