2 citations · 4 across the 29 of their papers we have counts for
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Polynomial central set theorem near zero
Aninda Chakraborty, Sayan Goswami
N. Hindman and I. Leader introduced the set of ultrafilters 0+ on (0,1) and characterize smallest ideal of (0+,+) and proved the Central Set Theorem near zero. Recently Polynomial…
Cartesian product of some combinatorially rich sets
Sayan Goswami
N. Hindman and D. Strauss had shown that, for discrete semigroups, the cartesian product of two central sets are central. They also proved that the product of J- sets and C-sets ar…
Sets with arithmetic progressions are abundant
Aninda Chakraborty, Sayan Goswami
Furstenberg, Glasscock, Bergelson, Beiglboeck have been studied abundance in arithmatic progression on various large sets like piecewise syndetic, central, thick, etc. but also the…
Richness of arithmetic progression in commutative semigroup
Aninda Chakraborty, Sayan Goswami
Furstenberg and Glasner proved that for an arbitrary k in N, any piecewise syndetic set contains k term arithmetic progressions and such collection is also piecewise syndetic in Z:…
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…
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…
Abundance of Progression in commutative semigroup by elementary means
Sayan Goswami, Subhajit Jana
Furstenberg and Glasner proved that for an arbitrary k in N, any piecewise syndetic set contains k term arithmetic progression and such collection is also piecewise syndetic in Z.…