Debnath, Pintu; Goswami, Sayan Combined exponential patterns in multiplicative \(IP^\star\) sets. (English) Zbl 07807586 New York J. Math. 30, 38-41 (2024). MSC: 54D35 05D10 54H15 PDFBibTeX XMLCite \textit{P. Debnath} and \textit{S. Goswami}, New York J. Math. 30, 38--41 (2024; Zbl 07807586) Full Text: arXiv Link
Goswami, Sayan; Baglini, Lorenzo Luperi; Patra, Sourav Kanti Polynomial extension of the stronger central sets theorem. (English) Zbl 07806263 Electron. J. Comb. 30, No. 4, Research Paper P4.36, 13 p. (2023). MSC: 05D10 05D05 22A15 PDFBibTeX XMLCite \textit{S. Goswami} et al., Electron. J. Comb. 30, No. 4, Research Paper P4.36, 13 p. (2023; Zbl 07806263) Full Text: DOI arXiv
Goswami, Sayan Product of difference sets of the set of primes. (English) Zbl 07748549 Proc. Am. Math. Soc. 151, No. 12, 5081-5086 (2023). MSC: 37A44 11E25 11T30 11N13 PDFBibTeX XMLCite \textit{S. Goswami}, Proc. Am. Math. Soc. 151, No. 12, 5081--5086 (2023; Zbl 07748549) Full Text: DOI
Goswami, Sayan; Poddar, Jyotirmoy Central sets theorem along filters and some combinatorial consequences. (English) Zbl 1508.05168 Indag. Math., New Ser. 33, No. 6, 1312-1325 (2022). MSC: 05D10 20M10 22A15 PDFBibTeX XMLCite \textit{S. Goswami} and \textit{J. Poddar}, Indag. Math., New Ser. 33, No. 6, 1312--1325 (2022; Zbl 1508.05168) Full Text: DOI arXiv
De, Dibyendu; Debnath, Pintu; Goswami, Sayan Elementary characterization of essential \({\mathscr{F}} \)-sets and its combinatorial consequences. (English) Zbl 1482.05330 Semigroup Forum 104, No. 1, 45-57 (2022). MSC: 05D10 22A15 PDFBibTeX XMLCite \textit{D. De} et al., Semigroup Forum 104, No. 1, 45--57 (2022; Zbl 1482.05330) Full Text: DOI arXiv
Debnath, Pintu; Goswami, Sayan Abundance of arithmetic progressions in some combinatorially rich sets by elementary means. (English) Zbl 1495.11017 Integers 21, Paper A105, 7 p. (2021). Reviewer: Ilya D. Shkredov (Moskva) MSC: 11B25 PDFBibTeX XMLCite \textit{P. Debnath} and \textit{S. Goswami}, Integers 21, Paper A105, 7 p. (2021; Zbl 1495.11017) Full Text: Link
Debnath, Pintu; Goswami, Sayan Dynamical \(\operatorname{IP}^\star \)-sets in weak rings. (English) Zbl 1478.05147 Topology Appl. 303, Article ID 107854, 7 p. (2021). MSC: 05D10 PDFBibTeX XMLCite \textit{P. Debnath} and \textit{S. Goswami}, Topology Appl. 303, Article ID 107854, 7 p. (2021; Zbl 1478.05147) Full Text: DOI arXiv
Goswami, Sayan; Jana, Subhajit A combinatorial viewpoint on preserving notions of largeness and an abstract Rado theorem. (English) Zbl 1477.05183 Integers 21, Paper A72, 10 p. (2021). MSC: 05D10 05A18 PDFBibTeX XMLCite \textit{S. Goswami} and \textit{S. Jana}, Integers 21, Paper A72, 10 p. (2021; Zbl 1477.05183) Full Text: arXiv Link
Debnath, Pintu; Goswami, Sayan Dynamical characterization of central sets along filter. (English) Zbl 1478.37013 Topology Appl. 300, Article ID 107777, 6 p. (2021). Reviewer: Mihai Turinici (Iaşi) MSC: 37B05 37B02 05D10 55N05 PDFBibTeX XMLCite \textit{P. Debnath} and \textit{S. Goswami}, Topology Appl. 300, Article ID 107777, 6 p. (2021; Zbl 1478.37013) Full Text: DOI arXiv
Goswami, Sayan Combined zigzag structures in dynamical \(IP^\ast\) sets. (English) Zbl 1471.05108 Topology Appl. 300, Article ID 107752, 4 p. (2021). MSC: 05D10 PDFBibTeX XMLCite \textit{S. Goswami}, Topology Appl. 300, Article ID 107752, 4 p. (2021; Zbl 1471.05108) Full Text: DOI
Chakraborty, Aninda; Goswami, Sayan Polynomial central set theorem near zero. (English) Zbl 1470.05161 Semigroup Forum 102, No. 2, 568-574 (2021). MSC: 05D10 22A15 PDFBibTeX XMLCite \textit{A. Chakraborty} and \textit{S. Goswami}, Semigroup Forum 102, No. 2, 568--574 (2021; Zbl 1470.05161) Full Text: DOI arXiv
Goswami, Sayan; Jana, Subhajit Abundance of progressions in a commutative semigroup by elementary means. (English) Zbl 1508.20099 Semigroup Forum 101, No. 2, 400-405 (2020). MSC: 20M14 20M10 PDFBibTeX XMLCite \textit{S. Goswami} and \textit{S. Jana}, Semigroup Forum 101, No. 2, 400--405 (2020; Zbl 1508.20099) Full Text: DOI arXiv
Debnath, Pintu; Goswami, Sayan Applications of the Hales-Jewett theorem near zero. (English) Zbl 1458.05249 Semigroup Forum 101, No. 1, 237-241 (2020). MSC: 05D10 PDFBibTeX XMLCite \textit{P. Debnath} and \textit{S. Goswami}, Semigroup Forum 101, No. 1, 237--241 (2020; Zbl 1458.05249) Full Text: DOI
Chakraborty, Aninda; Goswami, Sayan Richness of arithmetic progressions in commutative semigroups. (English) Zbl 1434.11032 Integers 20, Paper A24, 9 p. (2020). MSC: 11B25 05D10 20M13 PDFBibTeX XMLCite \textit{A. Chakraborty} and \textit{S. Goswami}, Integers 20, Paper A24, 9 p. (2020; Zbl 1434.11032) Full Text: arXiv Link