Bienvenu, Pierre-Yves; Shao, Xuancheng; Teräväinen, Joni A transference principle for systems of linear equations, and applications to almost twin primes. (English) Zbl 07669200 Algebra Number Theory 17, No. 2, 497-539 (2023). MSC: 11B30 11P32 PDF BibTeX XML Cite \textit{P.-Y. Bienvenu} et al., Algebra Number Theory 17, No. 2, 497--539 (2023; Zbl 07669200) Full Text: DOI arXiv OpenURL
Kim, Younjin The number of \(k\)-dimensional corner-free subsets of grids. (English) Zbl 1492.05151 Electron. J. Comb. 29, No. 2, Research Paper P2.53, 19 p. (2022). MSC: 05D05 PDF BibTeX XML Cite \textit{Y. Kim}, Electron. J. Comb. 29, No. 2, Research Paper P2.53, 19 p. (2022; Zbl 1492.05151) Full Text: DOI arXiv OpenURL
Sah, Ashwin; Sawhney, Mehtaab; Zhao, Yufei Patterns without a popular difference. (English) Zbl 1497.11032 Discrete Anal. 2021, Paper No. 8, 30 p. (2021). MSC: 11B30 11B25 PDF BibTeX XML Cite \textit{A. Sah} et al., Discrete Anal. 2021, Paper No. 8, 30 p. (2021; Zbl 1497.11032) Full Text: DOI arXiv OpenURL
Fox, Jacob; Pham, Huy Tuan Popular progression differences in vector spaces. (English) Zbl 1481.11013 Int. Math. Res. Not. 2021, No. 7, 5261-5289 (2021). Reviewer: C. P. Anil Kumar (Chennai) MSC: 11B25 11B30 PDF BibTeX XML Cite \textit{J. Fox} and \textit{H. T. Pham}, Int. Math. Res. Not. 2021, No. 7, 5261--5289 (2021; Zbl 1481.11013) Full Text: DOI arXiv OpenURL
Schoen, Tomasz A subexponential upper bound for van der Waerden numbers \(W(3,k)\). (English) Zbl 1465.05181 Electron. J. Comb. 28, No. 2, Research Paper P2.34, 10 p. (2021). MSC: 05D10 11B25 PDF BibTeX XML Cite \textit{T. Schoen}, Electron. J. Comb. 28, No. 2, Research Paper P2.34, 10 p. (2021; Zbl 1465.05181) Full Text: DOI arXiv OpenURL
Long, Jason A note on the Brown-Erdős-Sós conjecture in groups. (English) Zbl 1466.05212 Comb. Probab. Comput. 29, No. 4, 633-640 (2020). MSC: 05D10 05C25 05C35 05C65 20D60 PDF BibTeX XML Cite \textit{J. Long}, Comb. Probab. Comput. 29, No. 4, 633--640 (2020; Zbl 1466.05212) Full Text: DOI arXiv OpenURL
Briët, Jop; Gopi, Sivakanth Gaussian width bounds with applications to arithmetic progressions in random settings. (English) Zbl 1470.11014 Int. Math. Res. Not. 2020, No. 22, 8673-8696 (2020). MSC: 11B25 60F10 PDF BibTeX XML Cite \textit{J. Briët} and \textit{S. Gopi}, Int. Math. Res. Not. 2020, No. 22, 8673--8696 (2020; Zbl 1470.11014) Full Text: DOI arXiv OpenURL
Tao, T. Szemerédi’s proof of Szemerédi’s theorem. (English) Zbl 1474.11038 Acta Math. Hung. 161, No. 2, 443-487 (2020). MSC: 11B25 05D10 PDF BibTeX XML Cite \textit{T. Tao}, Acta Math. Hung. 161, No. 2, 443--487 (2020; Zbl 1474.11038) Full Text: DOI OpenURL
Altman, Daniel On Szemerédi’s theorem with differences from a random set. (English) Zbl 1468.11037 Acta Arith. 195, No. 1, 97-108 (2020). MSC: 11B25 PDF BibTeX XML Cite \textit{D. Altman}, Acta Arith. 195, No. 1, 97--108 (2020; Zbl 1468.11037) Full Text: DOI arXiv OpenURL
Karageorgos, Dimitris; Koutsogiannis, Andreas Integer part independent polynomial averages and applications along primes. (English) Zbl 1440.37009 Stud. Math. 249, No. 3, 233-257 (2019). Reviewer: Christoph Aistleitner (Graz) MSC: 37A44 37A05 37A30 05D10 11B25 PDF BibTeX XML Cite \textit{D. Karageorgos} and \textit{A. Koutsogiannis}, Stud. Math. 249, No. 3, 233--257 (2019; Zbl 1440.37009) Full Text: DOI arXiv OpenURL
Peluse, Sarah On the polynomial Szemerédi theorem in finite fields. (English) Zbl 1473.11032 Duke Math. J. 168, No. 5, 749-774 (2019). MSC: 11B30 11B25 PDF BibTeX XML Cite \textit{S. Peluse}, Duke Math. J. 168, No. 5, 749--774 (2019; Zbl 1473.11032) Full Text: DOI arXiv Euclid OpenURL
Rimanić, Luka; Wolf, Julia Szemerédi’s theorem in the primes. (English) Zbl 1472.11061 Proc. Edinb. Math. Soc., II. Ser. 62, No. 2, 443-457 (2019). Reviewer: Alex Rice (Jackson) MSC: 11B30 PDF BibTeX XML Cite \textit{L. Rimanić} and \textit{J. Wolf}, Proc. Edinb. Math. Soc., II. Ser. 62, No. 2, 443--457 (2019; Zbl 1472.11061) Full Text: DOI arXiv OpenURL
Saito, Kota; Yoshida, Yuuya Arithmetic progressions in the graphs of slightly curved sequences. (English) Zbl 1407.11018 J. Integer Seq. 22, No. 2, Article 19.2.1, 25 p. (2019). MSC: 11B25 11B30 PDF BibTeX XML Cite \textit{K. Saito} and \textit{Y. Yoshida}, J. Integer Seq. 22, No. 2, Article 19.2.1, 25 p. (2019; Zbl 1407.11018) Full Text: arXiv Link OpenURL
Dumitrescu, Adrian Distinct distances and arithmetic progressions. (English) Zbl 1405.05184 Discrete Appl. Math. 256, 38-41 (2019). MSC: 05D10 PDF BibTeX XML Cite \textit{A. Dumitrescu}, Discrete Appl. Math. 256, 38--41 (2019; Zbl 1405.05184) Full Text: DOI OpenURL
Klurman, Oleksiy; Mangerel, Alexander P. Rigidity theorems for multiplicative functions. (English) Zbl 1457.11131 Math. Ann. 372, No. 1-2, 651-697 (2018). MSC: 11N37 PDF BibTeX XML Cite \textit{O. Klurman} and \textit{A. P. Mangerel}, Math. Ann. 372, No. 1--2, 651--697 (2018; Zbl 1457.11131) Full Text: DOI arXiv OpenURL
Puig De Dios, Yunied Linear dynamics and recurrence properties defined via essential idempotents of \(\beta\mathbb{N}\). (English) Zbl 1404.37015 Ergodic Theory Dyn. Syst. 38, No. 1, 285-300 (2018). Reviewer: Nilson C. Bernardes Jr. (Rio de Janeiro) MSC: 37B20 05D05 47A16 47A35 PDF BibTeX XML Cite \textit{Y. Puig De Dios}, Ergodic Theory Dyn. Syst. 38, No. 1, 285--300 (2018; Zbl 1404.37015) Full Text: DOI arXiv OpenURL
Shao, Xuancheng Narrow arithmetic progressions in the primes. (English) Zbl 1405.11121 Int. Math. Res. Not. 2017, No. 2, 391-428 (2017). MSC: 11N13 11N05 11A41 PDF BibTeX XML Cite \textit{X. Shao}, Int. Math. Res. Not. 2017, No. 2, 391--428 (2017; Zbl 1405.11121) Full Text: DOI arXiv OpenURL
Green, Ben; Tao, Terence New bounds for Szemerédi’s theorem. III: A polylogarithmic bound for \(r_{4}(n)\). (English) Zbl 1434.11037 Mathematika 63, No. 3, 944-1040 (2017). MSC: 11B30 11B75 PDF BibTeX XML Cite \textit{B. Green} and \textit{T. Tao}, Mathematika 63, No. 3, 944--1040 (2017; Zbl 1434.11037) Full Text: DOI arXiv OpenURL
Chang, Mei-Chu Arithmetic progressions in multiplicative groups of finite fields. (English) Zbl 1390.11027 Isr. J. Math. 222, No. 2, 631-643 (2017). Reviewer: Štefan Porubský (Praha) MSC: 11B25 11B30 20F05 PDF BibTeX XML Cite \textit{M.-C. Chang}, Isr. J. Math. 222, No. 2, 631--643 (2017; Zbl 1390.11027) Full Text: DOI arXiv OpenURL
Gowers, W. T. Generalizations of Fourier analysis, and how to apply them. (English) Zbl 1360.05019 Bull. Am. Math. Soc., New Ser. 54, No. 1, 1-44 (2017). MSC: 05A99 11B25 11N13 42A99 PDF BibTeX XML Cite \textit{W. T. Gowers}, Bull. Am. Math. Soc., New Ser. 54, No. 1, 1--44 (2017; Zbl 1360.05019) Full Text: DOI arXiv OpenURL
Schacht, Mathias Extremal results for random discrete structures. (English) Zbl 1351.05207 Ann. Math. (2) 184, No. 2, 333-365 (2016). MSC: 05C80 05D40 05C35 60C05 PDF BibTeX XML Cite \textit{M. Schacht}, Ann. Math. (2) 184, No. 2, 333--365 (2016; Zbl 1351.05207) Full Text: DOI arXiv OpenURL
Campbell, James T.; Mccutcheon, Randall Recurrence and primitivity for IP systems with polynomial wildcards. (English) Zbl 1337.28025 Trans. Am. Math. Soc. 368, No. 4, 2697-2721 (2016). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 28D05 05D10 47B15 PDF BibTeX XML Cite \textit{J. T. Campbell} and \textit{R. Mccutcheon}, Trans. Am. Math. Soc. 368, No. 4, 2697--2721 (2016; Zbl 1337.28025) Full Text: DOI OpenURL
Graham, Ronald L.; Butler, Steve Rudiments of Ramsey theory. Expository lectures from the CBMS Regional Conference held at St. Olaf College, Northfield, MN, USA, June 18–22, 1979. 2nd edition. (English) Zbl 1325.05004 CBMS Regional Conference Series in Mathematics 123. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4156-3/pbk). ix, 82 p. (2015). MSC: 05-02 05D10 05C55 PDF BibTeX XML Cite \textit{R. L. Graham} and \textit{S. Butler}, Rudiments of Ramsey theory. Expository lectures from the CBMS Regional Conference held at St. Olaf College, Northfield, MN, USA, June 18--22, 1979. 2nd edition. Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1325.05004) OpenURL
Ziegler, Tamar Linear equations in primes and dynamics of nilmanifolds. (English) Zbl 1373.11009 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-805-6/hbk; 978-89-6105-803-2/set). 569-589 (2014). MSC: 11B30 37A30 11B25 37A45 PDF BibTeX XML Cite \textit{T. Ziegler}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa. 569--589 (2014; Zbl 1373.11009) Full Text: arXiv OpenURL
Rödl, Vojtěch Quasi-randomness and the regularity method in hypergraphs. (English) Zbl 1373.05096 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. I: Plenary lectures and ceremonies. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-804-9/hbk; 978-89-6105-803-2/set). 573-601 (2014). MSC: 05C35 05C65 PDF BibTeX XML Cite \textit{V. Rödl}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. I: Plenary lectures and ceremonies. Seoul: KM Kyung Moon Sa. 573--601 (2014; Zbl 1373.05096) OpenURL
Xu, Xiaodong A generalization of sets without long arithmetic progressions based on Szekeres algorithm. (English) Zbl 1364.11019 J. Number Theory 133, No. 11, 3670-3677 (2013). MSC: 11B05 11B25 PDF BibTeX XML Cite \textit{X. Xu}, J. Number Theory 133, No. 11, 3670--3677 (2013; Zbl 1364.11019) Full Text: DOI OpenURL
Gowers, W. Timothy Erdős and arithmetic progressions. (English) Zbl 1336.11013 Lovász, László (ed.) et al., Erdős centennial. On the occasion of Paul Erdős 100th anniversary of his birth. Berlin: Springer; Budapest: János Bolyai Mathematical Society (ISBN 978-3-642-39285-6/hbk; 978-3-642-39286-3/ebook). Bolyai Society Mathematical Studies 25, 265-287 (2013). Reviewer: Štefan Porubský (Praha) MSC: 11B25 11N13 11K38 PDF BibTeX XML Cite \textit{W. T. Gowers}, Bolyai Soc. Math. Stud. 25, 265--287 (2013; Zbl 1336.11013) Full Text: DOI arXiv OpenURL
Karhumaki, Juhani; Saarela, Aleksi; Zamboni, Luca Q. On a generalization of abelian equivalence and complexity of infinite words. (English) Zbl 1278.05009 J. Comb. Theory, Ser. A 120, No. 8, 2189-2206 (2013). MSC: 05A05 68R15 PDF BibTeX XML Cite \textit{J. Karhumaki} et al., J. Comb. Theory, Ser. A 120, No. 8, 2189--2206 (2013; Zbl 1278.05009) Full Text: DOI arXiv OpenURL
Shao, Zehui; Xu, Xiaodong On semi-progression van der Waerden numbers. (English) Zbl 1269.05111 Comput. Appl. Math. 32, No. 1, 19-25 (2013). MSC: 05D10 05D05 90C39 11B25 PDF BibTeX XML Cite \textit{Z. Shao} and \textit{X. Xu}, Comput. Appl. Math. 32, No. 1, 19--25 (2013; Zbl 1269.05111) Full Text: DOI OpenURL
Mei, Shuyuan; Chen, Yonggao Arithmetic progressions in sumsets and difference sets. (English) Zbl 1332.11011 Int. J. Number Theory 9, No. 3, 601-606 (2013). MSC: 11B25 05B10 PDF BibTeX XML Cite \textit{S. Mei} and \textit{Y. Chen}, Int. J. Number Theory 9, No. 3, 601--606 (2013; Zbl 1332.11011) Full Text: DOI OpenURL
Beiglböck, Mathias; Winkler, Reinhard Endre Szemerédi: a mathematical universe in a combinatorical robe. (Endre Szemerédi: Ein mathematisches Universum in kombinatorischem Gewande.) (German) Zbl 1294.05001 Int. Math. Nachr., Wien 221, 21-38 (2012). MSC: 05-03 01A70 05A17 05C55 11B25 11K36 11K31 37A45 37A50 PDF BibTeX XML Cite \textit{M. Beiglböck} and \textit{R. Winkler}, Int. Math. Nachr., Wien 221, 21--38 (2012; Zbl 1294.05001) OpenURL
Kang, Mihyun The 2012 Abel laureate Endre Szemerédi and his celebrated work. (English) Zbl 1293.01022 Int. Math. Nachr., Wien 221, 1-19 (2012). Reviewer: Antonín Slavík (Praha) MSC: 01A70 01A60 01A61 05-03 11-03 PDF BibTeX XML Cite \textit{M. Kang}, Int. Math. Nachr., Wien 221, 1--19 (2012; Zbl 1293.01022) OpenURL
Conlon, David; Fox, Jacob Bounds for graph regularity and removal lemmas. (English) Zbl 1256.05114 Geom. Funct. Anal. 22, No. 5, 1191-1256 (2012). MSC: 05C35 05C70 PDF BibTeX XML Cite \textit{D. Conlon} and \textit{J. Fox}, Geom. Funct. Anal. 22, No. 5, 1191--1256 (2012; Zbl 1256.05114) Full Text: DOI arXiv Link OpenURL
Polymath, D. H. J. A new proof of the density Hales-Jewett theorem. (English) Zbl 1267.11010 Ann. Math. (2) 175, No. 3, 1283-1327 (2012). MSC: 11B25 05D10 PDF BibTeX XML Cite \textit{D. H. J. Polymath}, Ann. Math. (2) 175, No. 3, 1283--1327 (2012; Zbl 1267.11010) Full Text: DOI arXiv OpenURL
Shao, Zehui; Deng, Fei; Liang, Meilian; Xu, Xiaodong On sets without \(k\)-term arithmetic progression. (English) Zbl 1237.68262 J. Comput. Syst. Sci. 78, No. 2, 610-618 (2012). MSC: 11B75 05D10 11B25 90C39 PDF BibTeX XML Cite \textit{Z. Shao} et al., J. Comput. Syst. Sci. 78, No. 2, 610--618 (2012; Zbl 1237.68262) Full Text: DOI OpenURL
Mundet i Riera, Ignasi Colorful arithmetic sequences. (Catalan. English summary) Zbl 1250.11010 Butll. Soc. Catalana Mat. 26, No. 1, 69-95, 98 (2011). MSC: 11B25 11B30 11B75 PDF BibTeX XML Cite \textit{I. Mundet i Riera}, Butll. Soc. Catalana Mat. 26, No. 1, 69--95, 98 (2011; Zbl 1250.11010) OpenURL
Morris, Robert; Imbuzeiro Oliveira, Roberto Extremal and probabilistic combinatorics. Paper from the 28th Brazilian mathematics colloquium – 28\(^{\text o}\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 2011. (English) Zbl 1250.05003 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0319-4/pbk). ii, 81 p., open access (2011). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05-01 05Dxx 05D10 05C35 05C55 60C05 PDF BibTeX XML Cite \textit{R. Morris} and \textit{R. Imbuzeiro Oliveira}, Extremal and probabilistic combinatorics. Paper from the 28th Brazilian mathematics colloquium -- 28\(^{\text o}\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 2011. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (2011; Zbl 1250.05003) Full Text: Link OpenURL
Austin, Tim; Eisner, Tanja; Tao, Terence Nonconventional ergodic averages and multiple recurrence for von Neumann dynamical systems. (English) Zbl 1219.46058 Pac. J. Math. 250, No. 1, 1-60 (2011). Reviewer: Thomas B. Ward (Norwich) MSC: 46L55 37A55 47A35 PDF BibTeX XML Cite \textit{T. Austin} et al., Pac. J. Math. 250, No. 1, 1--60 (2011; Zbl 1219.46058) Full Text: DOI arXiv OpenURL
Einsiedler, Manfred; Ward, Thomas Ergodic theory. With a view towards number theory. (English) Zbl 1206.37001 Graduate Texts in Mathematics 259. London: Springer (ISBN 978-0-85729-020-5/hbk; 978-0-85729-021-2/ebook). xvii, 481 p. (2011). Reviewer: Adrian Atanasiu (Bucharest) MSC: 37-02 37Axx 28-02 28Axx 11K99 PDF BibTeX XML Cite \textit{M. Einsiedler} and \textit{T. Ward}, Ergodic theory. With a view towards number theory. London: Springer (2011; Zbl 1206.37001) Full Text: DOI OpenURL
Green, Ben; Tao, Terence Yet another proof of Szemerédi’s theorem. (English) Zbl 1221.11028 Bárány, Imre (ed.) et al., An irregular mind. Szemerédi is 70. Dedicated to Endre Szemerédi on the occasion of his seventieth birthday. Berlin: Springer (ISBN 978-3-642-14443-1/pbk). Bolyai Society Mathematical Studies 21, 335-342 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11B25 11K36 11K31 PDF BibTeX XML Cite \textit{B. Green} and \textit{T. Tao}, Bolyai Soc. Math. Stud. 21, 335--342 (2010; Zbl 1221.11028) Full Text: arXiv OpenURL
Shapira, Asaf A proof of Green’s conjecture regarding the removal properties of sets of linear equations. (English) Zbl 1218.05071 J. Lond. Math. Soc., II. Ser. 81, No. 2, 355-373 (2010). Reviewer: Ya-Chen Chen (San Francisco) MSC: 11B30 05C35 68Q60 PDF BibTeX XML Cite \textit{A. Shapira}, J. Lond. Math. Soc., II. Ser. 81, No. 2, 355--373 (2010; Zbl 1218.05071) Full Text: DOI arXiv OpenURL
Shkredov, I. D. On a two-dimensional analogue of Szemerédi’s theorem in abelian groups. (English. Russian original) Zbl 1236.11016 Izv. Math. 73, No. 5, 1033-1075 (2009); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 73, No. 5, 181-224 (2009). Reviewer: Štefan Porubský (Praha) MSC: 11B25 11B30 PDF BibTeX XML Cite \textit{I. D. Shkredov}, Izv. Math. 73, No. 5, 1033--1075 (2009; Zbl 1236.11016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 73, No. 5, 181--224 (2009) Full Text: DOI arXiv OpenURL
Tao, Terence Poincaré’s legacies. Part I. Pages from year two of a mathematical blog. (English) Zbl 1171.00003 Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4883-8/pbk). ix, 293 p. (2009). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 00A05 00B15 37-02 11-02 37A99 11A41 PDF BibTeX XML Cite \textit{T. Tao}, Poincaré's legacies. Part I. Pages from year two of a mathematical blog. Providence, RI: American Mathematical Society (AMS) (2009; Zbl 1171.00003) OpenURL
Green, Ben; Tao, Terence New bounds for Szemerédi’s theorem. I: Progressions of length 4 in finite field geometries. (English) Zbl 1180.11006 Proc. Lond. Math. Soc. (3) 98, No. 2, 365-392 (2009). Reviewer: Tom Sanders (Cambridge) MSC: 11B25 11T99 PDF BibTeX XML Cite \textit{B. Green} and \textit{T. Tao}, Proc. Lond. Math. Soc. (3) 98, No. 2, 365--392 (2009; Zbl 1180.11006) Full Text: DOI arXiv OpenURL
Green, Ben; Tao, Terence New bounds for Szemerédi’s theorem. II: A new bound for \(r_4(N)\). (English) Zbl 1158.11007 Chen, W. W. L. (ed.) et al., Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Cambridge: Cambridge University Press (ISBN 978-0-521-51538-2/hbk). 180-204 (2009). Reviewer: Tom Sanders (Cambridge) MSC: 11B25 PDF BibTeX XML Cite \textit{B. Green} and \textit{T. Tao}, in: Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Cambridge: Cambridge University Press. 180--204 (2009; Zbl 1158.11007) Full Text: arXiv OpenURL
Fremlin, David H. Tao’s proof of Szemerédi’s theorem. (English) Zbl 1197.28005 Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia 55, No. 1-2, 81-106 (2007). MSC: 28C10 28D05 PDF BibTeX XML Cite \textit{D. H. Fremlin}, Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia 55, No. 1--2, 81--106 (2007; Zbl 1197.28005) OpenURL
Indlekofer, Karl-Heinz New approach to probabilistic number theory – compactifications and integration. (English) Zbl 1228.11125 Akiyama, Shigeki (ed.) et al., Probability and number theory – Kanazawa 2005. Proceedings of the international conference on probability and number theory, Kanazawa, Japan, June 20–24, 2005. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-43-3/hbk). Advanced Studies in Pure Mathematics 49, 133-170 (2007). Reviewer: Wolfgang Schwarz (Frankfurt am Main) MSC: 11K65 11N37 11N64 PDF BibTeX XML Cite \textit{K.-H. Indlekofer}, Adv. Stud. Pure Math. 49, 133--170 (2007; Zbl 1228.11125) OpenURL
Tao, Terence The ergodic and combinatorial approaches to Szemerédi’s theorem. (English) Zbl 1159.11005 Granville, Andrew (ed.) et al., Additive combinatorics. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4351-2/pbk). CRM Proceedings and Lecture Notes 43, 145-193 (2007). Reviewer: Christian Elsholtz (Surrey) MSC: 11B25 05C55 05C65 05C75 11N13 37A45 37B20 PDF BibTeX XML Cite \textit{T. Tao}, in: Additive combinatorics. Providence, RI: American Mathematical Society (AMS). 145--193 (2007; Zbl 1159.11005) Full Text: arXiv OpenURL
Solymosi, József Elementary additive combinatorics. (English) Zbl 1133.05096 Granville, Andrew (ed.) et al., Additive combinatorics. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4351-2/pbk). CRM Proceedings and Lecture Notes 43, 29-38 (2007). Reviewer: Péter L. Erdős (Budapest) MSC: 05D05 05D10 PDF BibTeX XML Cite \textit{J. Solymosi}, in: Additive combinatorics. Providence, RI: American Mathematical Society (AMS). 29--38 (2007; Zbl 1133.05096) OpenURL
Tao, Terence The dichotomy between structure and randomness, arithmetic progressions, and the primes. (English) Zbl 1183.11008 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume I: Plenary lectures and ceremonies. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 581-608 (2007). Reviewer: Roger Heath-Brown (Oxford) MSC: 11B30 11B25 37A45 05C65 05C75 42A99 PDF BibTeX XML Cite \textit{T. Tao}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume I: Plenary lectures and ceremonies. Zürich: European Mathematical Society (EMS). 581--608 (2007; Zbl 1183.11008) Full Text: arXiv OpenURL
McCutcheon, R. IP\(_r\) sets with polynomial weights and Szemerédi’s theorem. (English) Zbl 1177.05125 J. Comb. Theory, Ser. A 114, No. 1, 167-174 (2007). MSC: 05D10 37A44 PDF BibTeX XML Cite \textit{R. McCutcheon}, J. Comb. Theory, Ser. A 114, No. 1, 167--174 (2007; Zbl 1177.05125) Full Text: DOI OpenURL
Shkredov, I. D. Szemerédi’s theorem and problems on arithmetic progressions. (English. Russian original) Zbl 1178.11012 Russ. Math. Surv. 61, No. 6, 1101-1166 (2006); translation from Usp. Mat. Nauk 61, No. 6, 111-178 (2006). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11B25 11-02 37A45 PDF BibTeX XML Cite \textit{I. D. Shkredov}, Russ. Math. Surv. 61, No. 6, 1101--1166 (2006; Zbl 1178.11012); translation from Usp. Mat. Nauk 61, No. 6, 111--178 (2006) Full Text: DOI OpenURL
Host, Bernard Arithmetic progressions in prime numbers (after B. Green and T. Tao). (Progressions arithmétiques dans les nombres premiers [d’après B. Green et T. Tao].) (French) Zbl 1175.11052 Séminaire Bourbaki. Volume 2004/2005. Exposés 938–951. Paris: Société Mathématique de France (ISBN 978-2-85629-224-2/pbk). Astérisque 307, 229-246, Exp. No. 944 (2006). Reviewer: Eira J. Scourfield (Egham) MSC: 11N13 11B25 11A41 37A45 PDF BibTeX XML Cite \textit{B. Host}, Astérisque 307, 229--246, Exp. No. 944 (2006; Zbl 1175.11052) Full Text: arXiv OpenURL
Shkredov, I. D. On a generalization of Szemerédi’s theorem. (English) Zbl 1194.11024 Proc. Lond. Math. Soc. (3) 93, No. 3, 723-760 (2006). MSC: 11B25 37A45 PDF BibTeX XML Cite \textit{I. D. Shkredov}, Proc. Lond. Math. Soc. (3) 93, No. 3, 723--760 (2006; Zbl 1194.11024) Full Text: DOI OpenURL
Bergelson, Vitaly; Knutson, Inger J.; McCutcheon, Randall IP-systems, generalized polynomials and recurrence. (English) Zbl 1107.37007 Ergodic Theory Dyn. Syst. 26, No. 4, 999-1019 (2006). Reviewer: Geoffrey R. Goodson (Towson) MSC: 37A15 28D15 37A05 37A45 28D05 37B20 PDF BibTeX XML Cite \textit{V. Bergelson} et al., Ergodic Theory Dyn. Syst. 26, No. 4, 999--1019 (2006; Zbl 1107.37007) Full Text: DOI OpenURL
Frantzikinakis, Nikos; Kra, Bryna Ergodic averages for independent polynomials and applications. (English) Zbl 1099.37003 J. Lond. Math. Soc., II. Ser. 74, No. 1, 131-142 (2006). MSC: 37A45 37A30 28D05 PDF BibTeX XML Cite \textit{N. Frantzikinakis} and \textit{B. Kra}, J. Lond. Math. Soc., II. Ser. 74, No. 1, 131--142 (2006; Zbl 1099.37003) Full Text: DOI arXiv OpenURL
Gowers, W. T. Quasirandomness, counting and regularity for 3-uniform hypergraphs. (English) Zbl 1082.05081 Comb. Probab. Comput. 15, No. 1-2, 143-184 (2006). MSC: 05C80 05C65 60C05 05C35 PDF BibTeX XML Cite \textit{W. T. Gowers}, Comb. Probab. Comput. 15, No. 1--2, 143--184 (2006; Zbl 1082.05081) Full Text: DOI OpenURL
Rödl, V.; Nagle, B.; Skokan, J.; Schacht, M.; Kohayakawa, Y. The hypergraph regularity method and its applications. (English) Zbl 1135.05307 Proc. Natl. Acad. Sci. USA 102, No. 23, 8109-8113 (2005). MSC: 05C35 05C65 PDF BibTeX XML Cite \textit{V. Rödl} et al., Proc. Natl. Acad. Sci. USA 102, No. 23, 8109--8113 (2005; Zbl 1135.05307) Full Text: DOI OpenURL
Hennecart, F. Restricted addition and some developments of the Erdős-Ginzburg-Ziv theorem. (English) Zbl 1070.05078 Bull. Lond. Math. Soc. 37, No. 4, 481-490 (2005). MSC: 11B50 05D05 PDF BibTeX XML Cite \textit{F. Hennecart}, Bull. Lond. Math. Soc. 37, No. 4, 481--490 (2005; Zbl 1070.05078) Full Text: DOI OpenURL
Host, Bernard; Kra, Bryna Nonconventional ergodic averages and nilmanifolds. (English) Zbl 1077.37002 Ann. Math. (2) 161, No. 1, 397-488 (2005). Reviewer: Manfred Denker (Göttingen) MSC: 37A05 28D05 PDF BibTeX XML Cite \textit{B. Host} and \textit{B. Kra}, Ann. Math. (2) 161, No. 1, 397--488 (2005; Zbl 1077.37002) Full Text: DOI OpenURL
Solymosi, J. A note on a question of Erdős and Graham. (English) Zbl 1049.05077 Comb. Probab. Comput. 13, No. 2, 263-267 (2004). Reviewer: Péter L. Erdős (Budapest) MSC: 05D05 11B25 PDF BibTeX XML Cite \textit{J. Solymosi}, Comb. Probab. Comput. 13, No. 2, 263--267 (2004; Zbl 1049.05077) Full Text: DOI OpenURL
Furstenberg, Hillel; Weiss, Benjamin Markov processes and Ramsey theory for trees. (English) Zbl 1061.05094 Comb. Probab. Comput. 12, No. 5-6, 547-563 (2003). MSC: 05D10 60J05 28D05 PDF BibTeX XML Cite \textit{H. Furstenberg} and \textit{B. Weiss}, Comb. Probab. Comput. 12, No. 5--6, 547--563 (2003; Zbl 1061.05094) Full Text: DOI OpenURL
Frankl, Peter; Rödl, Vojtěch Extremal problems on set systems. (English) Zbl 0995.05141 Random Struct. Algorithms 20, No. 2, 131-164 (2002). Reviewer: Péter L.Erdős (Budapest) MSC: 05D05 05C65 PDF BibTeX XML Cite \textit{P. Frankl} and \textit{V. Rödl}, Random Struct. Algorithms 20, No. 2, 131--164 (2002; Zbl 0995.05141) Full Text: DOI OpenURL
Host, Bernard; Kra, Bryna Convergence of Conze-Lesigne averages. (English) Zbl 0995.37003 Ergodic Theory Dyn. Syst. 21, No. 2, 493-509 (2001). Reviewer: Geoffrey R.Goodson (Towson) MSC: 37A30 28D05 PDF BibTeX XML Cite \textit{B. Host} and \textit{B. Kra}, Ergodic Theory Dyn. Syst. 21, No. 2, 493--509 (2001; Zbl 0995.37003) Full Text: DOI OpenURL
Gowers, W. T. Rough structure and classification. Special volume of the journal Geometric and Functional Analysis. (English) Zbl 0989.01020 Alon, N. (ed.) et al., GAFA 2000. Visions in mathematics–Towards 2000. Proceedings of a meeting, Tel Aviv, Israel, August 25-September 3, 1999. Part I. Basel: Birkhäuser, 79-117 (2000). Reviewer: Peter L.Erdős (Budapest) MSC: 01A67 05-02 05D10 00A30 68T01 68T15 PDF BibTeX XML Cite \textit{W. T. Gowers}, in: GAFA 2000. Visions in mathematics---Towards 2000. Proceedings of a meeting, Tel Aviv, Israel, August 25--September 3, 1999. Part I. Basel: Birkhäuser. 79--117 (2000; Zbl 0989.01020) OpenURL
McCutcheon, R. A half-commutative IP Roth theorem. (English) Zbl 0954.28005 Acta Math. Univ. Comen., New Ser. 69, No. 1, 19-39 (2000). Reviewer: Thomas Ward (Norwich) MSC: 28D15 54H20 20M20 PDF BibTeX XML Cite \textit{R. McCutcheon}, Acta Math. Univ. Comen., New Ser. 69, No. 1, 19--39 (2000; Zbl 0954.28005) Full Text: EuDML EMIS OpenURL
Roth, K. F. Limitations to regularity. (English) Zbl 0954.11027 Arnold, V. (ed.) et al., Mathematics: frontiers and perspectives. Providence, RI: American Mathematical Society (AMS). 235-250 (2000). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 11K38 11B25 PDF BibTeX XML Cite \textit{K. F. Roth}, in: Mathematics: frontiers and perspectives. Providence, RI: American Mathematical Society (AMS). 235--250 (2000; Zbl 0954.11027) OpenURL
Walters, Mark Combinatorial proofs of the polynomial van der Waerden theorem and the polynomial Hales-Jewett theorem. (English) Zbl 0948.05056 J. Lond. Math. Soc., II. Ser. 61, No. 1, 1-12 (2000). Reviewer: Konrad Engel (Rostock) MSC: 05D10 05A18 PDF BibTeX XML Cite \textit{M. Walters}, J. Lond. Math. Soc., II. Ser. 61, No. 1, 1--12 (2000; Zbl 0948.05056) Full Text: DOI OpenURL
Gowers, W. T. A new proof of Szemerédi’s theorem for arithmetic progressions of length four. (English) Zbl 0907.11005 Geom. Funct. Anal. 8, No. 3, 529-551 (1998). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11B25 11N13 PDF BibTeX XML Cite \textit{W. T. Gowers}, Geom. Funct. Anal. 8, No. 3, 529--551 (1998; Zbl 0907.11005) Full Text: DOI OpenURL
Erdős, Paul; Hajnal, A.; Pach, János On a metric generalization of Ramsey’s theorem. (English) Zbl 0884.05092 Isr. J. Math. 102, 283-295 (1997). Reviewer: P.L.Erdös (Budapest) MSC: 05D10 PDF BibTeX XML Cite \textit{P. Erdős} et al., Isr. J. Math. 102, 283--295 (1997; Zbl 0884.05092) Full Text: DOI OpenURL
Furstenberg, Hillel; Weiss, Benjamin A mean ergodic theorem for \({1\over N} \sum^ N_{n=1} f(T^ n x)g (T^{n^ 2} x)\). (English) Zbl 0869.28010 Bergelson, V. (ed.) et al., Convergence in ergodic theory and probability. Papers from the conference, Ohio State University, Columbus, OH, USA, June 23–26, 1993. Berlin: de Gruyter. Ohio State Univ. Math. Res. Inst. Publ. 5, 193-227 (1996). Reviewer: G.R.Goodson (Towson) MSC: 28D05 PDF BibTeX XML Cite \textit{H. Furstenberg} and \textit{B. Weiss}, Ohio State Univ. Math. Res. Inst. Publ. 5, 193--227 (1996; Zbl 0869.28010) OpenURL
Furstenberg, H. A polynomial Szemerédi theorem. (English) Zbl 0844.05096 Miklós, D. (ed.) et al., Combinatorics, Paul Erdős is eighty. Vol. 2. Budapest: János Bolyai Mathematical Society. Bolyai Soc. Math. Stud. 2, 253-269 (1996). MSC: 05D10 11B25 PDF BibTeX XML Cite \textit{H. Furstenberg}, Bolyai Soc. Math. Stud. 2, 253--269 (1996; Zbl 0844.05096) OpenURL
Ryzhikov, V. V. A functional view of Szemerédi’s theorem. A remark on multiple intermixing of flows. (English. Russian original) Zbl 0863.28012 Russ. Math. Surv. 50, No. 6, 1304-1305 (1995); translation from Usp. Mat. Nauk 50, No. 6, 213-214 (1995). Reviewer: E.Petrisor (Timişoara) MSC: 28D05 PDF BibTeX XML Cite \textit{V. V. Ryzhikov}, Russ. Math. Surv. 50, No. 6, 1304--1305 (1995; Zbl 0863.28012); translation from Usp. Mat. Nauk 50, No. 6, 213--214 (1995) Full Text: DOI OpenURL
Abbott, H. L.; Pareek, C. M. A second order density version of the Gallai-Witt theorem. (English) Zbl 0770.05096 Ars Comb. 34, 47-53 (1992). MSC: 05D10 05A18 11B25 11B75 11B05 PDF BibTeX XML Cite \textit{H. L. Abbott} and \textit{C. M. Pareek}, Ars Comb. 34, 47--53 (1992; Zbl 0770.05096) OpenURL
Frankl, Peter; Rödl, Vojtěch The uniformity lemma for hypergraphs. (English) Zbl 0777.05084 Graphs Comb. 8, No. 4, 309-312 (1992). Reviewer: M.Demlová (Praha) MSC: 05C65 05C35 PDF BibTeX XML Cite \textit{P. Frankl} and \textit{V. Rödl}, Graphs Comb. 8, No. 4, 309--312 (1992; Zbl 0777.05084) Full Text: DOI OpenURL
Sárközy, A. Finite addition theorems. I. (English) Zbl 0674.10042 J. Number Theory 32, No. 1, 114-130 (1989). Reviewer: B.Volkmann MSC: 11B13 11B25 PDF BibTeX XML Cite \textit{A. Sárközy}, J. Number Theory 32, No. 1, 114--130 (1989; Zbl 0674.10042) Full Text: DOI OpenURL
Bergelson, Vitaly Ergodic Ramsey theory. (English) Zbl 0642.10052 Logic and combinatorics, Proc. AMS-IMS-SIAM Conf., Arcata/Calif. 1985, Contemp. Math. 65, 63-87 (1987). Reviewer: B.Volkmann MSC: 11B83 11B25 28D05 05C55 11B75 PDF BibTeX XML OpenURL
Brown, T. C.; Freedman, A. R. Arithmetic progressions in lacunary sets. (English) Zbl 0632.10052 Rocky Mt. J. Math. 17, 587-596 (1987). Reviewer: Št.Porubský MSC: 11B25 11N13 PDF BibTeX XML Cite \textit{T. C. Brown} and \textit{A. R. Freedman}, Rocky Mt. J. Math. 17, 587--596 (1987; Zbl 0632.10052) Full Text: DOI OpenURL
Vaserstein, L. N. On catching a moving particle by narrow strips. (English) Zbl 0586.51017 Geom. Dedicata 20, 143-145 (1986). Reviewer: Dan Brânzei MSC: 51M05 PDF BibTeX XML Cite \textit{L. N. Vaserstein}, Geom. Dedicata 20, 143--145 (1986; Zbl 0586.51017) Full Text: DOI OpenURL
Furstenberg, H.; Katznelson, Y. An ergodic Szemerédi theorem for IP-systems and combinatorial theory. (English) Zbl 0605.28012 J. Anal. Math. 45, 117-168 (1985). Reviewer: M.Denker MSC: 28D15 11B05 11B25 11T30 PDF BibTeX XML Cite \textit{H. Furstenberg} and \textit{Y. Katznelson}, J. Anal. Math. 45, 117--168 (1985; Zbl 0605.28012) Full Text: DOI OpenURL
Graham, Ronald L. Rudiments of Ramsey theory. Transl. from the English. (Начала теории Рамсея.) (Russian. English original) Zbl 0555.05051 Moskva: Izdatel’stvo ”Mir”. 97 p. R. 0.85 (1984). MSC: 05D10 05-02 05C55 11B25 PDF BibTeX XML OpenURL
Brown, T. C. A graph-theoretic conjecture which implies Szemerédi’s theorem. (English) Zbl 0548.10040 Bull. Tech. Univ. Istanbul 37, 59-63 (1984). MSC: 11B25 05C15 PDF BibTeX XML Cite \textit{T. C. Brown}, Bull. Tech. Univ. Istanbul 37, 59--63 (1984; Zbl 0548.10040) OpenURL
Furstenberg, H.; Katznelson, Y.; Ornstein, D. The ergodic theoretical proof of Szemerédi’s theorem. (English) Zbl 0556.28016 The mathematical heritage of Henri Poincaré, Proc. Symp. Pure Math. 39, Part 2, Bloomington/Indiana 1980, 217-242 (1983). Reviewer: F.M.Dekking MSC: 28D05 PDF BibTeX XML OpenURL
Graham, Ronald L. Rudiments of Ramsey theory. (Expository lectures from the CBMS Regional Conference held at St. Olaf College, June 18-22, 1979). (English) Zbl 0458.05043 Regional Conference Series in Mathematics, No. 45. Conference Board of the Mathematical Sciences, supp. by the National Science Foundation. Providence, R.I.: American Mathematical Society (AMS). v, 65 pp. $ 5.60 (1981). Reviewer: W. Trotter MSC: 05D10 05-02 05C55 11B25 PDF BibTeX XML OpenURL