Economic hierarchical spatial systems: new properties of Löschian numbers

Jerzy Kaczorowski; Waldemar Ratajczak; Peter Nijkamp; Krzysztof Górnisiewicz

doi:10.1016/j.amc.2023.128319

Economic hierarchical spatial systems: new properties of Löschian numbers

Jerzy Kaczorowski, Waldemar Ratajczak, Peter Nijkamp, Krzysztof Górnisiewicz^*

^*Corresponding author for this work

Department of Strategic Management

Research output: Contribution to journal › Article › Academic › peer-review

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.

Original language	English
Article number	128319
Number of pages	11
Journal	Applied Mathematics and Computation
Volume	461
DOIs	https://doi.org/10.1016/j.amc.2023.128319
Publication status	Published - 15 Jan 2024

Keywords

Central Place Theory
Losch system
New theorems
Number theory

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10.1016/j.amc.2023.128319Licence: CC BY

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abstract = "L{\"o}schian 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 L{\"o}schian numbers, which enable a better understanding of the mathematical properties of these numbers.",

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KW - Losch system

KW - New theorems

KW - Number theory

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DO - 10.1016/j.amc.2023.128319

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JF - Applied Mathematics and Computation

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Economic hierarchical spatial systems: new properties of Löschian numbers

Abstract

Keywords

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