P. Debnath

activity

20172026

most citedAbundance of arithmetic progressions in

C R

-sets

1 citations · 1 across the 18 of their papers we have counts for

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Showing 2023 · math.COShow all

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math.CO2023

Combined exponential patterns in multiplicative $I P^{⋆}$ sets

Pintu Debnath, Sayan Goswami

$I P$ sets play fundamental role in arithmetic Ramsey theory. A set is called an additive $I P$ 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…

Combined exponential patterns in multiplicative IP⋆ sets

Cartesian product of combinatorially rich sets -- algebraic, elementary and dynamical approaches

Combined exponential patterns in multiplicative $I P^{⋆}$ sets