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math.CO2023
Combined exponential patterns in multiplicative sets
Pintu Debnath, Sayan Goswami
sets play fundamental role in arithmetic Ramsey theory. A set is called an additive set if it is of the form $FS\left(\langle x_{n}\rangle_{n\in \mathbb{N}}\right)=\left\…
math.CO2023
Cartesian product of combinatorially rich sets -- algebraic, elementary and dynamical approaches
Pintu Debnath
Using the methods of topological dynamics, H. Furstenberg introduced the notion of a central set and proved the famous Central Sets Theorem. D. De, N. Hindman, and D. Strauss intro…