Economic hierarchical spatial systems: new properties of Löschian numbers

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

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review


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 languageEnglish
Article number128319
Number of pages11
JournalApplied Mathematics and Computation
Publication statusPublished - 15 Jan 2024


  • Central Place Theory
  • Losch system
  • New theorems
  • Number theory


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