3 papers
math.CO2026
A concept of largeness of monochromatic sums and products in large ideal domain
Pintu Debnath
An infinite integral domain is called a large ideal domain (LID) if every nontrivial ideal of has finite index in . Recently, N. Hindman and D. Strauss have established…
math.CO2026
A combinatorial approach to the stronger Central Sets Theorem for semigroups
Pintu Debnath
H. Furstenberg introduced the notion of central sets in terms of topological dynamics and established the famous Central Sets Theorem. Later in [A new and stronger Central Sets The…
math.CO2025
The Interplay between Additive and Multiplicative Central Sets Theorems
Pintu Debnath, Sayan Goswami, Chunlin Liu
The concept of Central sets, introduced by Furstenberg through the framework of topological dynamics, has played a pivotal role in combinatorial number theory. Furstenberg's Centra…