1 citations · 1 across the 8 of their papers we have counts for
8 papers
Abundance of arithmetic progressions in -sets
Dibyendu De, Pintu Debnath
H.Furstenberg and E.Glasner proved that for an arbitrary , any piecewise syndetic set of integers contains a -term arithmetic progression and the collection of s…
Elementary characterization of essential F-sets and its combinatorial consequences
Dibyendu De, Pintu Debnath, Sayan Goswami
There is a long history of studying Ramsey theory using the algebraic structure of the Stone-Čech compactification of discrete semigroup. It has been shown that various Ramsey theo…
Estimation of recurrence for nilpotent group action
Aninda Chakraborty, Dibyendu De, Sayan Goswami
We estimate size of recurrence of an action of a nilpotent group by homeomorphisms of a compact space for polynomial mappings into a nilpotent group form the partial semigroup $(\m…
IP-sets in function field and mixing properties
Dibyendu De, Pintu Debnath
The ring of polynomial over a finite field has received much attention, both from a combinatorial viewpoint as in regards to its action on measurable dynamical systems. In…
Large Sets in Countable Amenable Group and its Applications
Dibyendu De, Pintu Debnath
In the present paper our main objective is to extend the notion of -sets in countable amenable groups and to discuss its connection with weak mixing for amenable group actions.…
Centrally Image partition Regularity near 0
Tanushree Biswas, Dibyendu De, Ram Krishna Paul
The notion of Image partition regularity near zero was first introduced by De and Hindman. It was shown there that like image partition regularity over the main source…
Additive and multiplicative structure of c-sets
Dibyendu De
It is known that for an IP set in and a sequence there exists a sum subsystem of $< x_{n}>_{n=1}^{\in…
Combined algebraic and multiplicative properties near zero
Dibyendu De, Ram Krishna Paul
It was proved that whenever is partitioned into finitely many cells, one cell must contain arbitrary length arithmetic and geometric progression nicely intertwined, so…