3 papers
math.CO2026
Some monochromatic patterns in natural numbers
Arpita Ghosh, Surojit Ghosh
The set of sums of two squares plays a significant role in elementary number theory. In this article, we establish the existence of several rich monochromatic configurations in the…
gr-qc2026
Physical properties and the maximum compactness bound of a class of compact stars in gravity
Arpita Ghosh, Abhishek Paul, Ranjan Sharma +1
Motivation: Motivated by the growing interest in understanding the role of non-metricity in describing dense stellar systems, in this paper, we study compact stellar configurations…
math.CO2025
Combinatorially rich sets in partial semigroups
Arpita Ghosh, Neil Hindman
There are several notions of size for semigroups that have natural analogues for partial semigroups. Among these are thick, syndetic, central, piecewise syndetic, IP, J, and the mo…