3 papers
math.CO2026
Monochromatic Sums and Quotients Near Zero
Md Moid Shaikh, Sourav Kanti Patra, Mukesh Kumar
Recently S. Goswami proved that whenever the set of natural numbers is finitely colored, the set is monochromatic which also established a varian…
math.CO2025
Random Finite Sumsets and Product Sets in Subsets of the Natural Numbers
Sukrit Chakraborty, Sayan Goswami, Sourav Kanti Patra
We investigate the occurrence of additive and multiplicative structures in random subsets of the natural numbers. Specifically, for a Bernoulli random subset of where…
math.CO2024
Exponential Schur and Hindman Theorem in Ramsey Theory
Sayan Goswami, Sourav Kanti Patra
Answering a conjecture of A. Sisto, J. Sahasrabudhe proved the exponential version of the Schur theorem: for every finite coloring of the naturals, there exists a monochromatic cop…