Di Nasso, Mauro; Ragosta, Mariaclara Monochromatic exponential triples: an ultrafilter proof. (English) Zbl 1525.05187 Proc. Am. Math. Soc. 152, No. 1, 81-87 (2024). MSC: 05D10 05A17 54D80 PDFBibTeX XMLCite \textit{M. Di Nasso} and \textit{M. Ragosta}, Proc. Am. Math. Soc. 152, No. 1, 81--87 (2024; Zbl 1525.05187) 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 PDFBibTeX XMLCite \textit{M. Di Nasso}, J. Comb. Theory, Ser. A 189, Article ID 105610, 28 p. (2022; Zbl 1487.05264) Full Text: DOI arXiv
Di Nasso, Mauro; Ragosta, Mariaclara Central sets and infinite monochromatic exponential patterns. arXiv:2211.16269 Preprint, arXiv:2211.16269 [math.CO] (2022). MSC: 05D10 05A17 54D80 BibTeX Cite \textit{M. Di Nasso} and \textit{M. Ragosta}, ``Central sets and infinite monochromatic exponential patterns'', Preprint, arXiv:2211.16269 [math.CO] (2022) Full Text: arXiv OA License
Di Nasso, Mauro Translation invariant filters and van der Waerden’s theorem. (English) Zbl 1472.05146 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, 65-74 (2020). MSC: 05D10 11B25 11B30 PDFBibTeX XMLCite \textit{M. Di Nasso}, Springer Proc. Math. Stat. 297, 65--74 (2020; Zbl 1472.05146) Full Text: DOI arXiv
Di Nasso, Mauro; Goldbring, Isaac; Lupini, Martino Nonstandard methods in Ramsey theory and combinatorial number theory. (English) Zbl 1432.05001 Lecture Notes in Mathematics 2239. Cham: Springer (ISBN 978-3-030-17955-7/pbk; 978-3-030-17956-4/ebook). xvi, 204 p. (2019). Reviewer: M. P. Chaudhary (New Delhi) MSC: 05-02 05D10 05C55 11B75 26E35 00-01 00-02 03H05 28E05 30G06 46S20 47S20 54J05 PDFBibTeX XMLCite \textit{M. Di Nasso} et al., Nonstandard methods in Ramsey theory and combinatorial number theory. Cham: Springer (2019; Zbl 1432.05001) Full Text: DOI arXiv Link
Di Nasso, Mauro; Riggio, Maria Fermat-like equations that are not partition regular. (English) Zbl 1438.11075 Combinatorica 38, No. 5, 1067-1078 (2018). Reviewer: Stelian Mihalas (Timişoara) MSC: 11D04 03H05 05D10 PDFBibTeX XMLCite \textit{M. Di Nasso} and \textit{M. Riggio}, Combinatorica 38, No. 5, 1067--1078 (2018; Zbl 1438.11075) 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 PDFBibTeX XMLCite \textit{M. Di Nasso} and \textit{L. L. Baglini}, Adv. Math. 324, 84--117 (2018; Zbl 1376.05159) Full Text: DOI arXiv
Di Nasso, Mauro; Tachtsis, Eleftherios Idempotent ultrafilters without Zorn’s lemma. (English) Zbl 1427.03053 Proc. Am. Math. Soc. 146, No. 1, 397-411 (2018). MSC: 03E25 03E05 54D80 05D10 PDFBibTeX XMLCite \textit{M. Di Nasso} and \textit{E. Tachtsis}, Proc. Am. Math. Soc. 146, No. 1, 397--411 (2018; Zbl 1427.03053) Full Text: DOI arXiv
Di Nasso, Mauro Intersections of sets of distance. (English) Zbl 1352.05040 Integers 16, Paper A85, 18 p. (2016). MSC: 05B10 11B05 11B37 PDFBibTeX XMLCite \textit{M. Di Nasso}, Integers 16, Paper A85, 18 p. (2016; Zbl 1352.05040) Full Text: arXiv EMIS
Di Nasso, Mauro A taste of nonstandard methods in combinatorics of numbers. (English) Zbl 1391.05052 Matoušek, Jiří (ed.) et al., Geometry, structure and randomness in combinatorics. Lectures of the workshop, Pisa, Italy, September 3–7, 2012. Pisa: Edizioni della Normale (ISBN 978-88-7642-524-0/pbk; 978-88-7642-525-7/ebook). Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series 18, 27-46 (2015). Reviewer: Isaac Goldbring (Irvine) MSC: 05A99 03H05 11B05 11U10 PDFBibTeX XMLCite \textit{M. Di Nasso}, CRM Ser. 18, 27--46 (2015; Zbl 1391.05052) Full Text: DOI arXiv
Di Nasso, Mauro Intersections of shifted sets. (English) Zbl 1312.05026 Electron. J. Comb. 22, No. 2, Research Paper P2.25, 7 p. (2015). MSC: 05B10 11B05 11B37 PDFBibTeX XMLCite \textit{M. Di Nasso}, Electron. J. Comb. 22, No. 2, Research Paper P2.25, 7 p. (2015; Zbl 1312.05026) Full Text: arXiv Link
Di Nasso, Mauro Iterated hyper-extensions and an idempotent ultrafilter proof of Rado’s theorem. (English) Zbl 1386.03057 Proc. Am. Math. Soc. 143, No. 4, 1749-1761 (2015). MSC: 03E05 03H05 05D10 11D04 PDFBibTeX XMLCite \textit{M. Di Nasso}, Proc. Am. Math. Soc. 143, No. 4, 1749--1761 (2015; Zbl 1386.03057) Full Text: DOI arXiv
Bergelson, Vitaly (ed.); Blass, Andreas (ed.); Di Nasso, Mauro (ed.); Jin, Renling (ed.) Ultrafilters across mathematics. International congress ULTRAMATH 2008: Applications of ultrafilters and ultraproducts in mathematics, Pisa, Italy, June 1–7, 2008. (English) Zbl 1202.03009 Contemporary Mathematics 530. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4833-3/pbk). ix, 200 p. (2010). MSC: 03-06 03C20 03E05 03H05 05C55 28E15 00B25 PDFBibTeX XMLCite \textit{V. Bergelson} (ed.) et al., Ultrafilters across mathematics. International congress ULTRAMATH 2008: Applications of ultrafilters and ultraproducts in mathematics, Pisa, Italy, June 1--7, 2008. Providence, RI: American Mathematical Society (AMS) (2010; Zbl 1202.03009) Full Text: DOI