Economic hierarchical spatial systems – new properties of Löschian numbers

Jerzy Kaczorowski, Waldemar Ratajczak, Peter Nijkamp and Krzysztof Górnisiewicz

Applied Mathematics and Computation, 2024, vol. 461, issue C

Abstract: Löschian numbers are a topic of investigation in scientific fields such as spatial economics, socio-economic geography, geometry, and number theory. This is because these numbers play a significant role in the optimization of spatial interactions, in terms of achieving the best division of space between competing central places. This work presents four new number theoretic theorems and four corollaries concerning the properties of Löschian numbers, which enable a better understanding of the mathematical properties of these numbers.

Keywords: Central Place Theory; Lösch system; Number theory; New theorems (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300323004885
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:461:y:2024:i:c:s0096300323004885

DOI: 10.1016/j.amc.2023.128319

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().