SOME MONOCHROMATIC PATTERNS IN NATURAL NUMBERS
Abstract The set of sums of two squares plays a significant role in number theory. We establish the existence of several rich monochromatic configurations in the natural numbers by exploiting algebraic structures induced by the set of sums of two squares. The proofs rely on algebraic properties arising from the induced structures on the Stone–Čech compactification of the natural numbers.
Authors
- SUROJIT GHOSH
- ARPITA GHOSH
Institutions
- Indian Institute of Technology Roorkee (IN)
- University of Haifa (IL)
Publication Details
- Journal
- Bulletin of the Australian Mathematical Society
- Published
- 2026-02-13
- DOI
- https://doi.org/10.1017/s0004972726100975
- Primary Topic
- Limits and Structures in Graph Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- University of Haifa