Bowen, Matt Monochromatic products and sums in 2-colorings of \(\mathbb{N} \). (English) Zbl 07972358 Adv. Math. 462, Article ID 110095, 17 p. (2025). MSC: 05D10 54D80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arruda, Paulo Henrique; Luperi Baglini, Lorenzo Rado functionals and applications. (English) Zbl 07950635 Australas. J. Comb. 90, Part 3, 199-230 (2024). MSC: 05D10 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Bowen, Matt; Sabok, Marcin Monochromatic products and sums in the rationals. (English) Zbl 07939754 Forum Math. Pi 12, Paper No. e17, 12 p. (2024). MSC: 05D10 11B25 11B30 11B75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arruda, Paulo Henrique; Baglini, Lorenzo Luperi A limiting result for the Ramsey theory of functional equations. (English) Zbl 1540.05167 Fundam. Math. 264, No. 1, 55-68 (2024). MSC: 05D10 11B75 11D72 11D61 54D80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kra, Bryna; Moreira, Joel; Richter, Florian K.; Robertson, Donald Infinite sumsets in sets with positive density. (English) Zbl 1536.05455 J. Am. Math. Soc. 37, No. 3, 637-682 (2024). MSC: 05D10 11B13 37A05 11B30 28D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chakraborty, Aninda; Goswami, Sayan Polynomial extension of some symmetric partition regular structures. (English) Zbl 1536.05452 Bull. Sci. Math. 192, Article ID 103415, 18 p. (2024). MSC: 05D10 05C55 22A15 54D35 11B75 × Cite Format Result Cite Review PDF Full Text: DOI
Xiao, Rongzhong Monochromatic quotients, products and polynomial sums in the rationals. (English) Zbl 1533.11031 Discrete Math. 347, No. 3, Article ID 113795, 6 p. (2024). MSC: 11B30 05D10 37A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hindman, Neil; Ivan, Maria-Romina; Leader, Imre Some new results on monochromatic sums and products in the rationals. (English) Zbl 1517.05174 New York J. Math. 29, 301-322 (2023). Reviewer: Lorenz Halbeisen (Zürich) MSC: 05D10 11B13 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Farhangi, Sohail; Magner, Richard On the partition regularity of \(ax+by = cw^mz^n\). (English) Zbl 1530.11013 Integers 23, Paper A18, 52 p. (2023). Reviewer: Bedanta Bose (Kolkata) MSC: 11B05 05D10 11R09 22A15 54D35 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Baja, Zsolt; Dobák, Dániel; Kovács, Benedek; Pach, Péter Pál; Pigler, Donát Towards characterizing the 2-Ramsey equations of the form \(ax + by = p(z)\). (English) Zbl 1518.05192 Discrete Math. 346, No. 5, Article ID 113324, 11 p. (2023). MSC: 05D10 11B75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Di Nasso, Mauro Infinite monochromatic patterns in the integers. (English) Zbl 1487.05264 J. Comb. Theory, Ser. A 189, Article ID 105610, 28 p. (2022). MSC: 05D10 05E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schoen, Tomasz A Diophantine Ramsey theorem. (English) Zbl 1499.05607 Combinatorica 41, No. 4, 581-599 (2021). Reviewer: Ko-Wei Lih (Taipei) MSC: 05D10 × Cite Format Result Cite Review PDF Full Text: DOI
Prendiville, Sean Counting monochromatic solutions to diagonal Diophantine equations. (English) Zbl 1511.11035 Discrete Anal. 2021, Paper No. 14, 47 p. (2021). MSC: 11D45 11B30 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chow, Sam; Lindqvist, Sofia; Prendiville, Sean Rado’s criterion over squares and higher powers. (English) Zbl 1497.11028 J. Eur. Math. Soc. (JEMS) 23, No. 6, 1925-1997 (2021). Reviewer: Kaisa Matomäki (Turku) MSC: 11B30 11D72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barrett, Jordan Mitchell; Lupini, Martino; Moreira, Joel On Rado conditions for nonlinear Diophantine equations. (English) Zbl 1468.11076 Eur. J. Comb. 94, Article ID 103277, 20 p. (2021). MSC: 11B75 05D10 11D99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Byszewski, Jakub; Krawczyk, Elżbieta Rado’s theorem for rings and modules. (English) Zbl 1467.13058 J. Comb. Theory, Ser. A 180, Article ID 105402, 29 p. (2021). MSC: 13P15 05D10 05A18 15A06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Desgrottes, Mike; Senger, Steven; Soukup, David; Zhu, Renjun A general framework for studying finite rainbow configurations. (English) Zbl 1442.05128 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory III. Papers based on talks given at the CANT 2017 and 2018 workshops, New York, NY, USA, May 2017 and May 2018. Cham: Springer. Springer Proc. Math. Stat. 297, 55-63 (2020). MSC: 05C55 05D10 × Cite Format Result Cite Review PDF Full Text: DOI
Luperi Baglini, Lorenzo Nonstandard characterisations of tensor products and monads in the theory of ultrafilters. (English) Zbl 1521.03257 Math. Log. Q. 65, No. 3, 347-369 (2019). MSC: 03H05 03E05 05D10 × Cite Format Result Cite Review PDF Full Text: DOI
Sahasrabudhe, Julian Monochromatic solutions to systems of exponential equations. (English) Zbl 1391.05251 J. Comb. Theory, Ser. A 158, 548-559 (2018). MSC: 05D10 05A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sahasrabudhe, Julian Exponential patterns in arithmetic Ramsey theory. (English) Zbl 1390.05234 Acta Arith. 182, No. 1, 13-42 (2018). MSC: 05D10 05C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Di Nasso, Mauro; Baglini, Lorenzo Luperi Ramsey properties of nonlinear Diophantine equations. (English) Zbl 1376.05159 Adv. Math. 324, 84-117 (2018). MSC: 05D10 11D99 11B30 03H05 11U10 54D80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv