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math.CO2021
Dynamical IP-sets in weak rings
Pintu Debnath, Sayan Goswami
V. Bergelson and N. Hindman proved that IP- sets contain all possible finite sums and products of a sum subsystem of any sequence in . In a recent work the se…
math.CO2019
Abundance of arithmetic progressions in some combiantorially large sets
Pintu Debnath, Sayan Goswami
Furstenberg and Glasner proved that for an arbitrary k in N, any piecewise syndetic set contains k length arithmetic progression and such collection is also piecewise syndetic in Z…
math.CO2019
Application of Hales-Jewett theorem near 0
Pintu Debnath, Sayan Goswami
The famous van der Waerden theorem states that if partition N into finitely many cells then one of them will contain arbitrary length arithmetic progressions. It has a polynomial v…