Di Nasso, Mauro; Baglini, Lorenzo Luperi; Mennuni, Rosario; Pierobon, Moreno; Ragosta, Mariaclara Self-divisible ultrafilters and congruences in \(\beta\mathbb{Z}\). arXiv:2302.09983 Preprint, arXiv:2302.09983 [math.LO] (2023). MSC: 54D80 11A07 03H15 03C62 20E18 BibTeX Cite \textit{M. Di Nasso} et al., ``Self-divisible ultrafilters and congruences in $\beta\mathbb{Z}$'', Preprint, arXiv:2302.09983 [math.LO] (2023) Full Text: DOI 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; Jin, Renling Abstract densities and ideals of sets. (English) Zbl 1423.11027 Acta Arith. 185, No. 4, 301-313 (2018). MSC: 11B05 03E05 PDFBibTeX XMLCite \textit{M. Di Nasso} and \textit{R. Jin}, Acta Arith. 185, No. 4, 301--313 (2018; Zbl 1423.11027) Full Text: DOI arXiv
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; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl High density piecewise syndeticity of product sets in amenable groups. (English) Zbl 1419.11017 J. Symb. Log. 81, No. 4, 1555-1562 (2016). MSC: 11B13 11B05 03H05 43A07 PDFBibTeX XMLCite \textit{M. Di Nasso} et al., J. Symb. Log. 81, No. 4, 1555--1562 (2016; Zbl 1419.11017) Full Text: DOI arXiv Link
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; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl Approximate polynomial structure in additively large sets. (English) Zbl 1403.11008 Integers 16, Paper A49, 11 p. (2016). MSC: 11B05 11B25 PDFBibTeX XMLCite \textit{M. Di Nasso} et al., Integers 16, Paper A49, 11 p. (2016; Zbl 1403.11008) Full Text: arXiv EMIS
Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl A monad measure space for logarithmic density. (English) Zbl 1396.11014 Monatsh. Math. 181, No. 3, 577-599 (2016). MSC: 11B05 26E35 28D05 28E05 37A45 PDFBibTeX XMLCite \textit{M. Di Nasso} et al., Monatsh. Math. 181, No. 3, 577--599 (2016; Zbl 1396.11014) Full Text: DOI arXiv Link
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; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl On a sumset conjecture of Erdős. (English) Zbl 1365.11008 Can. J. Math. 67, No. 4, 795-809 (2015). MSC: 11B05 11B13 11P70 28D15 37A45 PDFBibTeX XMLCite \textit{M. Di Nasso} et al., Can. J. Math. 67, No. 4, 795--809 (2015; Zbl 1365.11008) 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; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl High density piecewise syndeticity of sumsets. (English) Zbl 1398.11029 Adv. Math. 278, 1-33 (2015). MSC: 11B13 11B05 03H05 03H15 PDFBibTeX XMLCite \textit{M. Di Nasso} et al., Adv. Math. 278, 1--33 (2015; Zbl 1398.11029) Full Text: DOI arXiv
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
Di Nasso, Mauro; Lupini, Martino Nonstandard analysis and the sumset phenomenon in arbitrary amenable groups. (English) Zbl 1320.03092 Ill. J. Math. 58, No. 1, 11-25 (2014). MSC: 03H05 43A07 11B05 11B13 PDFBibTeX XMLCite \textit{M. Di Nasso} and \textit{M. Lupini}, Ill. J. Math. 58, No. 1, 11--25 (2014; Zbl 1320.03092) Full Text: arXiv Euclid
Di Nasso, Mauro An elementary proof of Jin’s theorem with a bound. (English) Zbl 1301.11009 Electron. J. Comb. 21, No. 2, Research Paper P2.37, 7 p. (2014). MSC: 11B05 11B13 11B75 PDFBibTeX XMLCite \textit{M. Di Nasso}, Electron. J. Comb. 21, No. 2, Research Paper P2.37, 7 p. (2014; Zbl 1301.11009) Full Text: arXiv Link
Di Nasso, Mauro Embeddability properties of difference sets. (English) Zbl 1353.03084 Integers 14, Paper A27, 24 p. (2014). MSC: 03H05 11B05 11B13 PDFBibTeX XMLCite \textit{M. Di Nasso}, Integers 14, Paper A27, 24 p. (2014; Zbl 1353.03084) Full Text: arXiv EMIS
Di Nasso, Mauro Fine asymptotic densities for sets of natural numbers. (English) Zbl 1247.11014 Proc. Am. Math. Soc. 138, No. 8, 2657-2665 (2010). MSC: 11B05 03E35 PDFBibTeX XMLCite \textit{M. Di Nasso}, Proc. Am. Math. Soc. 138, No. 8, 2657--2665 (2010; Zbl 1247.11014) Full Text: DOI