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pro vyhledávání: '"Chakraborty, Aninda"'
Autor:
Chakraborty, Aninda, Goswami, Sayan
In this article, we will investigate several new configurations in Ramsey Theory, using the $\ostar_{l,k}$-operation on the set of integers, recently introduced in \cite{key-4}. This operation is useful to study symmetric structures in the set of int
Externí odkaz:
http://arxiv.org/abs/2107.13951
Autor:
Chakraborty, Aninda, Goswami, Sayan
Publikováno v:
In Bulletin des sciences mathématiques May 2024 192
Autor:
Chakraborty, Aninda, Goswami, Sayan
Inspired by the paper [1] of V. Bergelson, John H.Johnson Jr., J. Moreira, we formulate an abstract version of image partition regularity. To establish the result we have used a variant of first entry condition and for infinite case we contained our
Externí odkaz:
http://arxiv.org/abs/2101.08649
Autor:
Chakraborty, Aninda, Goswami, Sayan
In a recent work, N. Hindman, D. Strauss and L. Zamboni have shown that the Hales-Jewett theorem can be combined with a sufficiently well behaved homomorphisms. In this paper we will show that those combined extensions can be made if we replace the a
Externí odkaz:
http://arxiv.org/abs/2012.03934
Autor:
Chakraborty, Aninda
In [HLS], N. Hindman, I. Leader and D. Strauss proved the abundance for a matrix with rational entries. In this paper we proved it for the ring of Gaussian integers. We showed the result when the matrix is taken with entries from \mathbb{Q}\left[i\ri
Externí odkaz:
http://arxiv.org/abs/2010.10305
Autor:
Chakraborty, Aninda
It is known that for an IP^{*} set A in (\mathbb{N},+) and a sequence \left\langle x_{n}\right\rangle _{n=1}^{\infty} in \mathbb{N}, there exists a sum subsystem \left\langle y_{n}\right\rangle _{n=1}^{\infty} of \left\langle x_{n}\right\rangle _{n=1
Externí odkaz:
http://arxiv.org/abs/2010.10306
Autor:
Chakraborty, Aninda, Goswami, Sayan
In a recent work, N. Hindman, D. Strauss and L. Zamboni have shown that the Hales-Jewett theorem can be combined with a sufficiently well behaved homomorphisms. Their work was completely algebraic in nature, where they have used the algebra of Stone-
Externí odkaz:
http://arxiv.org/abs/2009.00772
Autor:
Chakraborty, Aninda, Goswami, Sayan
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 Central Set Theorem has been proved by V. Bergelson, J. H. Johnson Jr.
Externí odkaz:
http://arxiv.org/abs/1912.09994
Autor:
Chakraborty, Aninda
A partial semigroup is a set with restricted binary operation. In this work we will extend a result due to V. Bergelson and N. Hindman concerning the rich structure presented in the product space of semigroups to partial semigroup. An $IP^{\star}$ se
Externí odkaz:
http://arxiv.org/abs/1909.10896
Autor:
Chakraborty, Aninda, Goswami, Sayan
Furstenberg, Glasscock, Bergelson, Beiglboeck have been studied abundance in arithmatic progression on various large sets like piecewise syndetic, central, thick, etc. but also there are so many sets in which abundance in progression is still unsettl
Externí odkaz:
http://arxiv.org/abs/1905.02591