Aedo, Ibai; Grimm, Uwe; Mañibo, Neil; Nagai, Yasushi; Staynova, Petra Monochromatic arithmetic progressions in automatic sequences with group structure. (English) Zbl 07787791 J. Comb. Theory, Ser. A 203, Article ID 105831, 35 p. (2024). MSC: 37B10 37B15 05B20 11B25 PDFBibTeX XMLCite \textit{I. Aedo} et al., J. Comb. Theory, Ser. A 203, Article ID 105831, 35 p. (2024; Zbl 07787791) Full Text: DOI arXiv
Hanson, Brandon Long regularly-spaced and convex sequences in dense sets of integers. (English) Zbl 1461.11028 J. Comb. Theory, Ser. A 180, Article ID 105393, 16 p. (2021). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 11B30 05D10 11B25 PDFBibTeX XMLCite \textit{B. Hanson}, J. Comb. Theory, Ser. A 180, Article ID 105393, 16 p. (2021; Zbl 1461.11028) Full Text: DOI arXiv
Bergelson, Vitaly; Glasscock, Daniel On the interplay between additive and multiplicative largeness and its combinatorial applications. (English) Zbl 1433.05313 J. Comb. Theory, Ser. A 172, Article ID 105203, 60 p. (2020). MSC: 05D10 11B25 11B05 PDFBibTeX XMLCite \textit{V. Bergelson} and \textit{D. Glasscock}, J. Comb. Theory, Ser. A 172, Article ID 105203, 60 p. (2020; Zbl 1433.05313) Full Text: DOI arXiv
Robertson, Aaron A probabilistic threshold for monochromatic arithmetic progressions. (English) Zbl 1325.05176 J. Comb. Theory, Ser. A 137, 79-87 (2016). MSC: 05D10 PDFBibTeX XMLCite \textit{A. Robertson}, J. Comb. Theory, Ser. A 137, 79--87 (2016; Zbl 1325.05176) Full Text: DOI arXiv
Todorcevic, Stevo; Tyros, Konstantinos Subsets of products of finite sets of positive upper density. (English) Zbl 1253.05136 J. Comb. Theory, Ser. A 120, No. 1, 183-193 (2013). MSC: 05D10 11B05 11B25 PDFBibTeX XMLCite \textit{S. Todorcevic} and \textit{K. Tyros}, J. Comb. Theory, Ser. A 120, No. 1, 183--193 (2013; Zbl 1253.05136) Full Text: DOI arXiv
Vijay, Sujith Monochromatic progressions in random colorings. (English) Zbl 1239.05075 J. Comb. Theory, Ser. A 119, No. 5, 1078-1080 (2012). MSC: 05C15 05C65 PDFBibTeX XMLCite \textit{S. Vijay}, J. Comb. Theory, Ser. A 119, No. 5, 1078--1080 (2012; Zbl 1239.05075) Full Text: DOI arXiv
Lu, Linyuan; Peng, Xing Monochromatic 4-term arithmetic progressions in 2-colorings of \(\mathbb Z_n\). (English) Zbl 1293.05385 J. Comb. Theory, Ser. A 119, No. 5, 1048-1065 (2012). MSC: 05D10 11B25 11B75 PDFBibTeX XMLCite \textit{L. Lu} and \textit{X. Peng}, J. Comb. Theory, Ser. A 119, No. 5, 1048--1065 (2012; Zbl 1293.05385) Full Text: DOI arXiv
Brown, Tom; Landman, Bruce M.; Robertson, Aaron Bounds on some van der Waerden numbers. (English) Zbl 1169.05047 J. Comb. Theory, Ser. A 115, No. 7, 1304-1309 (2008). Reviewer: Christian Elsholtz (Surrey) MSC: 05D10 PDFBibTeX XMLCite \textit{T. Brown} et al., J. Comb. Theory, Ser. A 115, No. 7, 1304--1309 (2008; Zbl 1169.05047) Full Text: DOI arXiv
Parrilo, Pablo A.; Robertson, Aaron; Saracino, Dan On the asymptotic minimum number of monochromatic 3-term arithmetic progressions. (English) Zbl 1210.05172 J. Comb. Theory, Ser. A 115, No. 1, 185-192 (2008). MSC: 05D10 11B25 11B75 PDFBibTeX XMLCite \textit{P. A. Parrilo} et al., J. Comb. Theory, Ser. A 115, No. 1, 185--192 (2008; Zbl 1210.05172) Full Text: DOI arXiv
Balandraud, Éric Coloured solutions of equations in finite groups. (English) Zbl 1120.05092 J. Comb. Theory, Ser. A 114, No. 5, 854-866 (2007). MSC: 05D10 PDFBibTeX XMLCite \textit{É. Balandraud}, J. Comb. Theory, Ser. A 114, No. 5, 854--866 (2007; Zbl 1120.05092) Full Text: DOI
Croot, Ernie Long arithmetic progressions in critical sets. (English) Zbl 1115.11010 J. Comb. Theory, Ser. A 113, No. 1, 53-66 (2006). Reviewer: Luis Gallardo (Brest) MSC: 11B25 11N13 11B50 PDFBibTeX XMLCite \textit{E. Croot}, J. Comb. Theory, Ser. A 113, No. 1, 53--66 (2006; Zbl 1115.11010) Full Text: DOI arXiv
Jungić, Veselin On a conjecture of Brown concerning accessible sets. (English) Zbl 1059.05102 J. Comb. Theory, Ser. A 110, No. 1, 175-178 (2005). MSC: 05D10 11B25 PDFBibTeX XMLCite \textit{V. Jungić}, J. Comb. Theory, Ser. A 110, No. 1, 175--178 (2005; Zbl 1059.05102) Full Text: DOI
Ardal, Hayri; Brown, Tom C.; Pleasants, Peter A. B. Almost disjoint families of 3-term arithmetic progressions. (English) Zbl 1064.05145 J. Comb. Theory, Ser. A 109, No. 1, 75-90 (2005). Reviewer: Štefan Porubský (Praha) MSC: 05D99 11B25 PDFBibTeX XMLCite \textit{H. Ardal} et al., J. Comb. Theory, Ser. A 109, No. 1, 75--90 (2005; Zbl 1064.05145) Full Text: DOI
Blanchard, Peter Floodstrand Pseudo-arithmetic sets and Ramsey theory. (English) Zbl 1046.05079 J. Comb. Theory, Ser. A 106, No. 1, 49-57 (2004). Reviewer: William G. Brown (Montréal) MSC: 05D10 11B25 PDFBibTeX XMLCite \textit{P. F. Blanchard}, J. Comb. Theory, Ser. A 106, No. 1, 49--57 (2004; Zbl 1046.05079) Full Text: DOI
Gunderson, David S.; Leader, Imre; Prömel, Hans Jürgen; Rödl, Vojtěch Independent Deuber sets in graphs on the natural numbers. (English) Zbl 1028.05114 J. Comb. Theory, Ser. A 103, No. 2, 305-322 (2003). Reviewer: William G.Brown (Montréal) MSC: 05D10 11B75 11B25 05C69 PDFBibTeX XMLCite \textit{D. S. Gunderson} et al., J. Comb. Theory, Ser. A 103, No. 2, 305--322 (2003; Zbl 1028.05114) Full Text: DOI
Bergelson, Vitaly; Hindman, Neil Partition regular structures contained in large sets are abundant. (English) Zbl 0966.05078 J. Comb. Theory, Ser. A 93, No. 1, 18-36 (2001). Reviewer: Kathrin Klamroth (Dresden) MSC: 05D10 11B25 PDFBibTeX XMLCite \textit{V. Bergelson} and \textit{N. Hindman}, J. Comb. Theory, Ser. A 93, No. 1, 18--36 (2001; Zbl 0966.05078) Full Text: DOI Link
Gunderson, David S.; Leader, Imre; Prömel, Hans Jürgen; Rödl, Vojtěch Independent arithmetic progressions in clique-free graphs on the natural numbers. (English) Zbl 0977.05137 J. Comb. Theory, Ser. A 93, No. 1, 1-17 (2001). Reviewer: Ian Anderson (Glasgow) MSC: 05D10 11B25 PDFBibTeX XMLCite \textit{D. S. Gunderson} et al., J. Comb. Theory, Ser. A 93, No. 1, 1--17 (2001; Zbl 0977.05137) Full Text: DOI Link
Lev, Vsevolod F. Simultaneous approximations and covering by arithmetic progressions in \(\mathbb{F}_p\). (English) Zbl 0974.11008 J. Comb. Theory, Ser. A 92, No. 2, 103-118 (2000). Reviewer: Štefan Porubský (Praha) MSC: 11B25 11J13 11J25 05D99 11J17 11T99 20F99 PDFBibTeX XMLCite \textit{V. F. Lev}, J. Comb. Theory, Ser. A 92, No. 2, 103--118 (2000; Zbl 0974.11008) Full Text: DOI
Cilleruelo, Javier An upper bound for \(B_2 [2]\) sequences. (English) Zbl 0955.11005 J. Comb. Theory, Ser. A 89, No. 1, 141-144 (2000). Reviewer: Norbert Hegyvari (Budapest) MSC: 11B75 11B25 PDFBibTeX XMLCite \textit{J. Cilleruelo}, J. Comb. Theory, Ser. A 89, No. 1, 141--144 (2000; Zbl 0955.11005) Full Text: DOI
Gupta, Soma Sets of integers with missing differences. (English) Zbl 0956.11006 J. Comb. Theory, Ser. A 89, No. 1, 55-69 (2000). Reviewer: Štefan Porubský (Praha) MSC: 11B05 11B25 PDFBibTeX XMLCite \textit{S. Gupta}, J. Comb. Theory, Ser. A 89, No. 1, 55--69 (2000; Zbl 0956.11006) Full Text: DOI
Brown, Tom C. A pseudo upper bound for the van der Waerden function. (English) Zbl 0930.05095 J. Comb. Theory, Ser. A 87, No. 1, 233-238 (1999). MSC: 05D10 11B25 PDFBibTeX XMLCite \textit{T. C. Brown}, J. Comb. Theory, Ser. A 87, No. 1, 233--238 (1999; Zbl 0930.05095) Full Text: DOI Link
Alon, Noga; Zaks, Ayal Progressions in sequences of nearly consecutive integers. (English) Zbl 0917.11005 J. Comb. Theory, Ser. A 84, No. 1, 99-109 (1998). Reviewer: Y.O.Hamidoune (Paris) MSC: 11B25 PDFBibTeX XMLCite \textit{N. Alon} and \textit{A. Zaks}, J. Comb. Theory, Ser. A 84, No. 1, 99--109 (1998; Zbl 0917.11005) Full Text: DOI Link
Lev, Vsevolod F. On the number of solutions of a linear equation over finite sets. (English) Zbl 0907.11009 J. Comb. Theory, Ser. A 83, No. 2, 251-267 (1998). Reviewer: J.Piehler (Merseburg) MSC: 11D04 11B25 PDFBibTeX XMLCite \textit{V. F. Lev}, J. Comb. Theory, Ser. A 83, No. 2, 251--267 (1998; Zbl 0907.11009) Full Text: DOI
Brown, Tom C.; Hare, Donovan R. Arithmetic progressions in sequences with bounded gaps. (English) Zbl 0874.11016 J. Comb. Theory, Ser. A 77, No. 2, 222-227 (1997). Reviewer: N.Hegyvári (Budapest) MSC: 11B25 11B05 11B85 PDFBibTeX XMLCite \textit{T. C. Brown} and \textit{D. R. Hare}, J. Comb. Theory, Ser. A 77, No. 2, 222--227 (1997; Zbl 0874.11016) Full Text: DOI Link
Ding, P.; Freedman, A. R. Semi-progressions. (English) Zbl 0862.11010 J. Comb. Theory, Ser. A 76, No. 1, 99-107 (1996). Reviewer: Š.Porubský (Praha) MSC: 11B25 11B75 05A99 PDFBibTeX XMLCite \textit{P. Ding} and \textit{A. R. Freedman}, J. Comb. Theory, Ser. A 76, No. 1, 99--107 (1996; Zbl 0862.11010) Full Text: DOI
Meshulam, Roy On subsets of finite Abelian groups with no 3-term arithmetic progressions. (English) Zbl 0832.11006 J. Comb. Theory, Ser. A 71, No. 1, 168-172 (1995). Reviewer: Imre Z. Ruzsa (Budapest) MSC: 11B25 20K01 11B75 PDFBibTeX XMLCite \textit{R. Meshulam}, J. Comb. Theory, Ser. A 71, No. 1, 168--172 (1995; Zbl 0832.11006) Full Text: DOI
Stolarsky, Kenneth B. Certain sequences of Wythoffian matrices, and maximal geometric progressions therein. (English) Zbl 0814.05069 J. Comb. Theory, Ser. A 68, No. 2, 361-371 (1994). Reviewer: J.Rosenthal (Amsterdam) MSC: 05D10 05B20 11B25 11B39 20M99 PDFBibTeX XMLCite \textit{K. B. Stolarsky}, J. Comb. Theory, Ser. A 68, No. 2, 361--371 (1994; Zbl 0814.05069) Full Text: DOI
Song, H. Y.; Taylor, H.; Golomb, S. W. Progressions in every two-coloration of \(Z_ n\). (English) Zbl 0766.05004 J. Comb. Theory, Ser. A 61, No. 2, 211-221 (1992). Reviewer: A.Granville (Athens / Georgia) MSC: 05A05 05A17 11B25 11B75 05D10 PDFBibTeX XMLCite \textit{H. Y. Song} et al., J. Comb. Theory, Ser. A 61, No. 2, 211--221 (1992; Zbl 0766.05004) Full Text: DOI
Brown, T. C.; Erdős, Paul; Freedman, A. R. Quasi-progressions and descending waves. (English) Zbl 0699.10069 J. Comb. Theory, Ser. A 53, No. 1, 81-95 (1990). Reviewer: Št.Porubský MSC: 11B25 PDFBibTeX XMLCite \textit{T. C. Brown} et al., J. Comb. Theory, Ser. A 53, No. 1, 81--95 (1990; Zbl 0699.10069) Full Text: DOI
Brown, Tom C.; Freedman, Allen R. Small sets which meet all the k(n)-term arithmetic progressions in the interval [1,n]. (English) Zbl 0672.10039 J. Comb. Theory, Ser. A 51, No. 2, 244-249 (1989). Reviewer: M.Nair MSC: 11B25 05A05 PDFBibTeX XMLCite \textit{T. C. Brown} and \textit{A. R. Freedman}, J. Comb. Theory, Ser. A 51, No. 2, 244--249 (1989; Zbl 0672.10039) Full Text: DOI
Lefmann, Hanno A note on monoton waves. (English) Zbl 0671.10049 J. Comb. Theory, Ser. A 50, No. 2, 316-318 (1989). Reviewer: Št.Porubský MSC: 11B25 05C55 11B39 PDFBibTeX XMLCite \textit{H. Lefmann}, J. Comb. Theory, Ser. A 50, No. 2, 316--318 (1989; Zbl 0671.10049) Full Text: DOI
Greenwell, Raymond N.; Landman, Bruce M. On the existence of a reasonable upper bound for the van der Waerden numbers. (English) Zbl 0667.10008 J. Comb. Theory, Ser. A 50, No. 1, 82-86 (1989). Reviewer: Štefan Porubský (Praha) MSC: 11B83 11B25 05A17 05D10 PDFBibTeX XMLCite \textit{R. N. Greenwell} and \textit{B. M. Landman}, J. Comb. Theory, Ser. A 50, No. 1, 82--86 (1989; Zbl 0667.10008) Full Text: DOI
Bergelson, Vitaly; Hindman, Neil A combinatorially large cell of a partition of N. (English) Zbl 0642.05003 J. Comb. Theory, Ser. A 46, No. 1, 39-52 (1988). Reviewer: D.M.Bressoud MSC: 05A17 11P81 PDFBibTeX XMLCite \textit{V. Bergelson} and \textit{N. Hindman}, J. Comb. Theory, Ser. A 46, No. 1, 39--52 (1988; Zbl 0642.05003) Full Text: DOI
Berend, Daniel Parallelepipeds in sets of integers. (English) Zbl 0622.10043 J. Comb. Theory, Ser. A 45, 163-170 (1987). Reviewer: Št.Porubský MSC: 11B13 11B34 11B25 11B75 PDFBibTeX XMLCite \textit{D. Berend}, J. Comb. Theory, Ser. A 45, 163--170 (1987; Zbl 0622.10043) Full Text: DOI
Frankl, Peter; Graham, Ronald L.; Rödl, Vojtěch On subsets of abelian groups with no 3-term arithmetic progression. (English) Zbl 0613.10043 J. Comb. Theory, Ser. A 45, 157-161 (1987). Reviewer: Št.Znám MSC: 11B25 20K99 PDFBibTeX XMLCite \textit{P. Frankl} et al., J. Comb. Theory, Ser. A 45, 157--161 (1987; Zbl 0613.10043) Full Text: DOI
Graham, Ronald L.; Nešetřil, Jaroslav Large minimal sets which force arithmetic progressions. (English) Zbl 0604.05003 J. Comb. Theory, Ser. A 42, 270-276 (1986). Reviewer: M.Szalay MSC: 05A17 11B25 PDFBibTeX XMLCite \textit{R. L. Graham} and \textit{J. Nešetřil}, J. Comb. Theory, Ser. A 42, 270--276 (1986; Zbl 0604.05003) Full Text: DOI
Cockayne, E. J.; Hedetniemi, S. T. On the diagonal queens domination problem. (English) Zbl 0589.05014 J. Comb. Theory, Ser. A 42, 137-139 (1986). Reviewer: B.Garrison MSC: 05A99 11B25 PDFBibTeX XMLCite \textit{E. J. Cockayne} and \textit{S. T. Hedetniemi}, J. Comb. Theory, Ser. A 42, 137--139 (1986; Zbl 0589.05014) Full Text: DOI
Prömel, Hans Jürgen; Rödl, Vojtěch An elementary proof of the canonizing version of Gallai-Witt’s theorem. (English) Zbl 0589.05010 J. Comb. Theory, Ser. A 42, 144-149 (1986). Reviewer: M.Szalay MSC: 05A17 11B25 PDFBibTeX XMLCite \textit{H. J. Prömel} and \textit{V. Rödl}, J. Comb. Theory, Ser. A 42, 144--149 (1986; Zbl 0589.05010) Full Text: DOI
Lefmann, Hanno A canonical version for partition regular systems of linear equations. (English) Zbl 0583.05006 J. Comb. Theory, Ser. A 41, 95-104 (1986). Reviewer: E.Fuchs MSC: 05A17 PDFBibTeX XMLCite \textit{H. Lefmann}, J. Comb. Theory, Ser. A 41, 95--104 (1986; Zbl 0583.05006) Full Text: DOI
Voigt, Bernd Canonizing partition theorems: Diversification, products, and iterated versions. (English) Zbl 0577.05006 J. Comb. Theory, Ser. A 40, 349-376 (1985). Reviewer: E.Fuchs MSC: 05A17 11P81 05A05 PDFBibTeX XMLCite \textit{B. Voigt}, J. Comb. Theory, Ser. A 40, 349--376 (1985; Zbl 0577.05006) Full Text: DOI
Hindman, Neil Ramsey’s theorem for sums, products, and arithmetic progressions. (English) Zbl 0567.05004 J. Comb. Theory, Ser. A 38, 82-83 (1985). Reviewer: W.Deuber MSC: 05A17 11B25 PDFBibTeX XMLCite \textit{N. Hindman}, J. Comb. Theory, Ser. A 38, 82--83 (1985; Zbl 0567.05004) Full Text: DOI
Lagarias, J. C.; Odlyzko, A. M.; Shearer, J. B. On the density of sequences of integers the sum of no two of which is a square. II: General sequences. (English) Zbl 0514.10041 J. Comb. Theory, Ser. A 35, 123-139 (1983). MSC: 11B83 11B25 PDFBibTeX XMLCite \textit{J. C. Lagarias} et al., J. Comb. Theory, Ser. A 35, 123--139 (1983; Zbl 0514.10041) Full Text: DOI
Deuber, W.; Graham, R. L.; Proemel, H. J.; Voigt, B. A canonical partition theorem for equivalence relations on \(Z^ n\). (English) Zbl 0514.05002 J. Comb. Theory, Ser. A 34, 331-339 (1983). MSC: 05C05 05C55 11E76 PDFBibTeX XMLCite \textit{W. Deuber} et al., J. Comb. Theory, Ser. A 34, 331--339 (1983; Zbl 0514.05002) Full Text: DOI
Taylor, Alan D. A note on van der Waerden’s Theorem. (German) Zbl 0503.10036 J. Comb. Theory, Ser. A 33, 215-219 (1982). MSC: 11B25 05A17 PDFBibTeX XMLCite \textit{A. D. Taylor}, J. Comb. Theory, Ser. A 33, 215--219 (1982; Zbl 0503.10036) Full Text: DOI
Hindman, Neil On density, translates, and pairwise sums of integers. (English) Zbl 0496.10036 J. Comb. Theory, Ser. A 33, 147-157 (1982). MSC: 11B83 11B75 11B25 PDFBibTeX XMLCite \textit{N. Hindman}, J. Comb. Theory, Ser. A 33, 147--157 (1982; Zbl 0496.10036) Full Text: DOI
Schmidt, Frank W. On sets not containing arithmetic progressions of a certain kind. (English) Zbl 0489.10053 J. Comb. Theory, Ser. A 33, 30-35 (1982). MSC: 11B83 11B25 PDFBibTeX XMLCite \textit{F. W. Schmidt}, J. Comb. Theory, Ser. A 33, 30--35 (1982; Zbl 0489.10053) Full Text: DOI
Lagarias, J. C.; Odlyzko, A. M.; Shearer, J. B. On the density of sequences of integers the sum of no two of which is a square. I: Arithmetic progressions. (English) Zbl 0489.10052 J. Comb. Theory, Ser. A 33, 167-185 (1982). MSC: 11B83 11B25 PDFBibTeX XMLCite \textit{J. C. Lagarias} et al., J. Comb. Theory, Ser. A 33, 167--185 (1982; Zbl 0489.10052) Full Text: DOI
Deuber, Walter On van der Waerden’s theorem on arithmetic progressions. (English) Zbl 0476.05012 J. Comb. Theory, Ser. A 32, 115-118 (1982). Reviewer: Michael Hager (Berlin) MSC: 11B25 05A18 PDFBibTeX XMLCite \textit{W. Deuber}, J. Comb. Theory, Ser. A 32, 115--118 (1982; Zbl 0476.05012) Full Text: DOI
Beck, Jozsef A remark concerning arithmetic progressions. (English) Zbl 0461.10045 J. Comb. Theory, Ser. A 29, 376-379 (1980). MSC: 11B25 05A05 PDFBibTeX XMLCite \textit{J. Beck}, J. Comb. Theory, Ser. A 29, 376--379 (1980; Zbl 0461.10045) Full Text: DOI
Hindman, Neil Partitions and sums of integers with repetition. (English) Zbl 0419.05001 J. Comb. Theory, Ser. A 27, 19-32 (1979). MSC: 05A17 11B25 PDFBibTeX XMLCite \textit{N. Hindman}, J. Comb. Theory, Ser. A 27, 19--32 (1979; Zbl 0419.05001) Full Text: DOI