On Patterson's cyclotomic sets and how to count them-Reference-Cited by-同舟云学术

On Patterson's cyclotomic sets and how to count them

Published:1981-02-01 Issue:3-4 Volume:156 Page:187-196
ISSN:2194-4946
Container-title:Zeitschrift für Kristallographie - Crystalline Materials
language:en
Short-container-title:

Author:

Iglesias Juan E.

Abstract

AbstractNew proofs are presented to two theorems due to A. L. Patterson, relative to one dimensional homometric sets. Combinatorial solutions are also given to several counting problems connected with the general question of studying the occurrence of homometric mates among cyclotomic sets. Two new theorems on this subject are enunciated and proved.

Publisher

Walter de Gruyter GmbH

Subject

Inorganic Chemistry,Condensed Matter Physics,General Materials Science

Link

https://www.degruyter.com/document/doi/10.1524/zkri.1981.156.3-4.187/pdf

Reference7 articles.

1. Proofs and generalizations of Patterson's theorems on homometric complementary sets

2. Exploration of cyclotomic point sets for tautoeikonic complementary pairs*

3. Analysis of cyclotomic sets *

4. Diffraction enhancement of symmetry: Enhancement cases for crystals formed by stacking of two kinds of layers*

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