Conant, Gabriel; Pillay, Anand Approximate subgroups with bounded VC-dimension. (English) Zbl 07796289 Math. Ann. 388, No. 1, 1001-1043 (2024). MSC: 11P70 11B30 03C45 03C20 PDFBibTeX XMLCite \textit{G. Conant} and \textit{A. Pillay}, Math. Ann. 388, No. 1, 1001--1043 (2024; Zbl 07796289) Full Text: DOI arXiv
Cvetko-Vah, Karin; Kinyon, Michael; Pisanski, Tomaž On elementary, odd, semimagic and other classes of antilattices. (English) Zbl 07773273 J. Algebra Appl. 23, No. 1, Article ID 2450012, 22 p. (2024). MSC: 06B75 05A15 05A17 03G10 11P99 PDFBibTeX XMLCite \textit{K. Cvetko-Vah} et al., J. Algebra Appl. 23, No. 1, Article ID 2450012, 22 p. (2024; Zbl 07773273) Full Text: DOI arXiv
Ryan, Patrick J. Szemerédi’s theorem: an exploration of impurity, explanation, and content. (English) Zbl 1522.00148 Rev. Symb. Log. 16, No. 3, 700-739 (2023). MSC: 00A30 03A05 11P99 11B25 28D05 37A44 03F03 03B30 03F35 PDFBibTeX XMLCite \textit{P. J. Ryan}, Rev. Symb. Log. 16, No. 3, 700--739 (2023; Zbl 1522.00148) Full Text: DOI
Fanlo, A. Rodriguez On piecewise hyperdefinable groups. (English) Zbl 07712959 J. Math. Log. 23, No. 3, Article ID 2250027, 68 p. (2023). MSC: 03C68 03C45 11P70 20A15 PDFBibTeX XMLCite \textit{A. R. Fanlo}, J. Math. Log. 23, No. 3, Article ID 2250027, 68 p. (2023; Zbl 07712959) Full Text: DOI arXiv
Edmonds, Chelsea; Koutsoukou-Argyraki, Angeliki; Paulson, Lawrence C. Formalising Szemerédi’s Regularity Lemma and Roth’s Theorem on Arithmetic Progressions in Isabelle/HOL. (English) Zbl 07695705 J. Autom. Reasoning 67, No. 1, Paper No. 2, 21 p. (2023). MSC: 68V15 05C35 05A17 11P81 03B35 68V15 68V20 68V35 PDFBibTeX XMLCite \textit{C. Edmonds} et al., J. Autom. Reasoning 67, No. 1, Paper No. 2, 21 p. (2023; Zbl 07695705) Full Text: DOI arXiv
Krupiński, Krzysztof; Pillay, Anand Generalized locally compact models for approximate groups. arXiv:2310.20683 Preprint, arXiv:2310.20683 [math.LO] (2023). MSC: 03C60 03C98 37B02 54H11 11B30 11P70 20A15 20N99 BibTeX Cite \textit{K. Krupiński} and \textit{A. Pillay}, ``Generalized locally compact models for approximate groups'', Preprint, arXiv:2310.20683 [math.LO] (2023) Full Text: arXiv OA License
Filipów, Rafał; Kowitz, Krzysztof; Kwela, Adam; Tryba, Jacek New Hindman spaces. arXiv:2308.14396 Preprint, arXiv:2308.14396 [math.GN] (2023). MSC: 54A20 05A17 03E35 03E50 05C55 11P99 BibTeX Cite \textit{R. Filipów} et al., ``New Hindman spaces'', Preprint, arXiv:2308.14396 [math.GN] (2023) Full Text: DOI arXiv OA License
Caragiu, Mihai; Harbaugh, Rachael Extending a Putnam problem to fields of various characteristics. (English) Zbl 1513.11087 JP J. Algebra Number Theory Appl. 59, 33-45 (2022). MSC: 11B75 03C07 97U40 PDFBibTeX XMLCite \textit{M. Caragiu} and \textit{R. Harbaugh}, JP J. Algebra Number Theory Appl. 59, 33--45 (2022; Zbl 1513.11087) Full Text: DOI
Kowitz, Krzysztof Differentially compact spaces. (English) Zbl 1487.54012 Topology Appl. 307, Article ID 107948, 9 p. (2022). Reviewer: Samuel Gomes da Silva (Salvador) MSC: 54A20 05A17 03E35 03E50 05C55 11P99 PDFBibTeX XMLCite \textit{K. Kowitz}, Topology Appl. 307, Article ID 107948, 9 p. (2022; Zbl 1487.54012) Full Text: DOI
Fanlo, A. Rodriguez; Wagner, F. O. Rough Approximate subgroups. arXiv:2209.03529 Preprint, arXiv:2209.03529 [math.LO] (2022). MSC: 03C98 11P70 20A15 BibTeX Cite \textit{A. R. Fanlo} and \textit{F. O. Wagner}, ``Rough Approximate subgroups'', Preprint, arXiv:2209.03529 [math.LO] (2022) Full Text: arXiv OA License
Krupiński, Krzysztof Locally compact models for approximate rings. arXiv:2203.05609 Preprint, arXiv:2203.05609 [math.LO] (2022). MSC: 03C60 03C98 11B30 11P70 16B70 17A01 20A15 20N99 BibTeX Cite \textit{K. Krupiński}, ``Locally compact models for approximate rings'', Preprint, arXiv:2203.05609 [math.LO] (2022) Full Text: arXiv OA License
Hrushovski, E.; Fanlo, A. Rodriguez On metric approximate subgroups. arXiv:2209.01262 Preprint, arXiv:2209.01262 [math.GR] (2022). MSC: 03C98 11P70 20N99 20A15 BibTeX Cite \textit{E. Hrushovski} and \textit{A. R. Fanlo}, ``On metric approximate subgroups'', Preprint, arXiv:2209.01262 [math.GR] (2022) Full Text: arXiv OA License
Lynch, Peter Goldbach’s conjecture: if it’s unprovable, it must be true. (English) Zbl 1478.11116 Ir. Math. Soc. Bull. 86, 103-106 (2020). Reviewer: Alexandra Shlapentokh (Greenville) MSC: 11P32 03B25 PDFBibTeX XMLCite \textit{P. Lynch}, Ir. Math. Soc. Bull. 86, 103--106 (2020; Zbl 1478.11116) Full Text: Link
Hieronymi, Philipp When is scalar multiplication decidable? (English) Zbl 1446.03029 Ann. Pure Appl. Logic 170, No. 10, 1162-1175 (2019). Reviewer: Saeed Salehi (Tabriz) MSC: 03B25 03C64 03C60 03D05 11A67 11U05 PDFBibTeX XMLCite \textit{P. Hieronymi}, Ann. Pure Appl. Logic 170, No. 10, 1162--1175 (2019; Zbl 1446.03029) Full Text: DOI arXiv
Hinman, J.; Kuca, B.; Schlesinger, A.; Sheydvasser, A. The unreasonable rigidity of Ulam sequences. (English) Zbl 1437.11041 J. Number Theory 194, 409-425 (2019). MSC: 11B83 03C98 PDFBibTeX XMLCite \textit{J. Hinman} et al., J. Number Theory 194, 409--425 (2019; Zbl 1437.11041) Full Text: DOI
Madhusudan, P.; Nowotka, Dirk; Rajasekaran, Aayush; Shallit, Jeffrey Lagrange’s theorem for binary squares. (English) Zbl 1510.11168 Potapov, Igor (ed.) et al., 43rd international symposium on mathematical foundations of computer science. MFCS 2018, Liverpool, United Kingdom, August 27–31, 2018. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 117, Article 18, 14 p. (2018). MSC: 11U05 03B25 03B35 03D05 PDFBibTeX XMLCite \textit{P. Madhusudan} et al., LIPIcs -- Leibniz Int. Proc. Inform. 117, Article 18, 14 p. (2018; Zbl 1510.11168) Full Text: DOI arXiv
Alm, Jeremy F. 401 and beyond: improved bounds and algorithms for the Ramsey algebra search. (English) Zbl 1371.11018 J. Integer Seq. 20, No. 8, Article 17.8.4, 10 p. (2017). MSC: 11B13 11A07 03G15 11-04 11U10 11Y55 PDFBibTeX XMLCite \textit{J. F. Alm}, J. Integer Seq. 20, No. 8, Article 17.8.4, 10 p. (2017; Zbl 1371.11018) Full Text: arXiv EMIS
van den Dries, Lou Approximate groups (according to Hrushovski and Breuillard, Green, Tao). (English) Zbl 1358.11024 Séminaire Bourbaki. Volume 2013/2014. Exposés 1074–1088. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-804-6/hbk). Astérisque 367-368, 79-113, Exp. No. 1077 (2015). MSC: 11B30 03C98 11P70 03C07 03C50 03H05 20D15 PDFBibTeX XMLCite \textit{L. van den Dries}, Astérisque 367--368, 79--113, Exp. No. 1077 (2015; Zbl 1358.11024)
Fomichev, V. M. Primitive sets of numbers being equivalent by Frobenius. (Russian. English summary) Zbl 07310235 Prikl. Diskretn. Mat. 2014, No. 1(23), 20-26 (2014). MSC: 11-XX 03-XX PDFBibTeX XMLCite \textit{V. M. Fomichev}, Prikl. Diskretn. Mat. 2014, No. 1(23), 20--26 (2014; Zbl 07310235) Full Text: MNR
Pillay, Anand; Starchenko, Sergei Remarks on Tao’s algebraic regularity lemma. arXiv:1310.7538 Preprint, arXiv:1310.7538 [math.NT] (2013). MSC: 11P70 03C45 BibTeX Cite \textit{A. Pillay} and \textit{S. Starchenko}, ``Remarks on Tao's algebraic regularity lemma'', Preprint, arXiv:1310.7538 [math.NT] (2013) Full Text: arXiv OA License
Hrushovski, Ehud Stable group theory and approximate subgroups. (English) Zbl 1259.03049 J. Am. Math. Soc. 25, No. 1, 189-243 (2012). Reviewer: Immanuel Halupczok (Münster) MSC: 03C45 11P70 20F99 20A15 20E07 11B75 03C60 PDFBibTeX XMLCite \textit{E. Hrushovski}, J. Am. Math. Soc. 25, No. 1, 189--243 (2012; Zbl 1259.03049) Full Text: DOI arXiv
Makó, Zoltán Extracting fuzzy if-then rule by using the information matrix technique with quasi-triangular fuzzy numbers. (English) Zbl 1240.93213 Stud. Univ. Babeș-Bolyai, Math. 54, No. 3, 85-98 (2009). MSC: 93C42 03E72 PDFBibTeX XMLCite \textit{Z. Makó}, Stud. Univ. Babeș-Bolyai, Math. 54, No. 3, 85--98 (2009; Zbl 1240.93213)
Gong, Zaiwu; Zhang, Lifan; Liu, Sifeng Study on group decision making based on the triangular fuzzy number preference relations under incomplete information. (Chinese. English summary) Zbl 1174.90552 J. Syst. Eng. 23, No. 3, 269-275 (2008). MSC: 90B50 03E72 PDFBibTeX XMLCite \textit{Z. Gong} et al., J. Syst. Eng. 23, No. 3, 269--275 (2008; Zbl 1174.90552)
Bie, Rongfang; Wang, Shiqiang Extensions with Goldbach property of some quintic rings of integers. (Chinese. English summary) Zbl 1174.11410 J. Nanjing Univ., Math. Biq. 24, No. 2, 213-221 (2007). MSC: 11U09 11P32 13B02 03C98 PDFBibTeX XMLCite \textit{R. Bie} and \textit{S. Wang}, J. Nanjing Univ., Math. Biq. 24, No. 2, 213--221 (2007; Zbl 1174.11410)
Jin, Renling Inverse problem for cuts. (English) Zbl 1126.03055 Log. Anal. 1, No. 1, 61-89 (2007). Reviewer: Stelian Mihalas (Timisoara) MSC: 03H15 11B25 11B13 11B05 11U10 PDFBibTeX XMLCite \textit{R. Jin}, Log. Anal. 1, No. 1, 61--89 (2007; Zbl 1126.03055) Full Text: DOI
Jin, Renling Freiman’s inverse problem with small doubling property. (English) Zbl 1231.11012 Adv. Math. 216, No. 2, 711-752 (2007). MSC: 11B05 11P70 11B13 11U10 03H15 PDFBibTeX XMLCite \textit{R. Jin}, Adv. Math. 216, No. 2, 711--752 (2007; Zbl 1231.11012) Full Text: DOI
Bihani, Prerna; Jin, Renling Kneser’s theorem for upper Banach density. (English) Zbl 1138.11044 J. Théor. Nombres Bordx. 18, No. 2, 323-343 (2006). Reviewer: Immanuel Halupczok (Paris) MSC: 11P70 11B05 03H05 11U10 PDFBibTeX XMLCite \textit{P. Bihani} and \textit{R. Jin}, J. Théor. Nombres Bordx. 18, No. 2, 323--343 (2006; Zbl 1138.11044) Full Text: DOI Numdam EuDML Link
Bie, Rong Fang; Wang, Shi Qiang Inductive rings and systems of Diophantine equations. (English) Zbl 1107.03041 Acta Math. Sin., Engl. Ser. 22, No. 5, 1549-1556 (2006). MSC: 03C98 11P32 11U09 PDFBibTeX XMLCite \textit{R. F. Bie} and \textit{S. Q. Wang}, Acta Math. Sin., Engl. Ser. 22, No. 5, 1549--1556 (2006; Zbl 1107.03041) Full Text: DOI
Jin, Renling Inverse problem for upper asymptotic density. II. (English) Zbl 1158.11006 Cutland, Nigel J. (ed.) et al., Nonstandard methods and applications in mathematics. Wellesley, MA: A K Peters; Urbana, IL: Association for Symbolic Logic (ASL) (ISBN 1-56881-291-4/hbk; 1-56881-292-2/pbk). Lecture Notes in Logic 25, 147-173 (2006). Reviewer: Štefan Porubský (Praha) MSC: 11B05 11B13 11P70 11U10 26E35 03H15 PDFBibTeX XMLCite \textit{R. Jin}, Lect. Notes Log. 25, 147--173 (2006; Zbl 1158.11006)
Jin, Renling Solution to the inverse problem for upper asymptotic density. (English) Zbl 1138.11045 J. Reine Angew. Math. 595, 121-165 (2006). Reviewer: Immanuel Halupczok (Paris) MSC: 11P70 11B05 03H05 11B13 PDFBibTeX XMLCite \textit{R. Jin}, J. Reine Angew. Math. 595, 121--165 (2006; Zbl 1138.11045) Full Text: DOI
Jones, Albin L. A brief remark on van der Waerden spaces. (English) Zbl 1056.03029 Proc. Am. Math. Soc. 132, No. 8, 2457-2460 (2004). Reviewer: Sheldon W. Davis (Oxford/Ohio) MSC: 03E50 54A35 54F65 11P99 PDFBibTeX XMLCite \textit{A. L. Jones}, Proc. Am. Math. Soc. 132, No. 8, 2457--2460 (2004; Zbl 1056.03029) Full Text: DOI
Bell, Jason P.; Burris, Stanley N. Asymptotics for logical limit laws: When the growth of the components is in an RT class. (English) Zbl 1021.03022 Trans. Am. Math. Soc. 355, No. 9, 3777-3794 (2003). MSC: 03C13 11P99 41A60 11N45 11N80 11U99 60J20 05A16 PDFBibTeX XMLCite \textit{J. P. Bell} and \textit{S. N. Burris}, Trans. Am. Math. Soc. 355, No. 9, 3777--3794 (2003; Zbl 1021.03022) Full Text: DOI
Wang, Shiqiang Some connections of the Goldbach conjecture and others with PA – logical discussions about some problems in number theory. II. (Chinese. English summary) Zbl 1073.11527 J. Beijing Norm. Univ., Nat. Sci. 38, No. 2, 183-186 (2002). MSC: 11U05 11P32 03F30 PDFBibTeX XMLCite \textit{S. Wang}, J. Beijing Norm. Univ., Nat. Sci. 38, No. 2, 183--186 (2002; Zbl 1073.11527)
Kojman, Menachem Hindman spaces. (English) Zbl 0985.54032 Proc. Am. Math. Soc. 130, No. 6, 1597-1602 (2002). MSC: 54F65 05C55 03E05 11P99 PDFBibTeX XMLCite \textit{M. Kojman}, Proc. Am. Math. Soc. 130, No. 6, 1597--1602 (2002; Zbl 0985.54032) Full Text: DOI
Kojman, Menachem Van der Waerden spaces. (English) Zbl 0979.54036 Proc. Am. Math. Soc. 130, No. 3, 631-635 (2002). MSC: 54F65 05C55 03E05 11P99 26A48 PDFBibTeX XMLCite \textit{M. Kojman}, Proc. Am. Math. Soc. 130, No. 3, 631--635 (2002; Zbl 0979.54036) Full Text: DOI
Wang, Shiqiang The conditional independence of Goldbach conjecture with respect to Peano axioms – logical discussions about some problems in number theory. I. (Chinese. English summary) Zbl 1070.11501 J. Beijing Norm. Univ., Nat. Sci. 37, No. 4, 452-455 (2001). MSC: 11P32 11U99 03B30 PDFBibTeX XMLCite \textit{S. Wang}, J. Beijing Norm. Univ., Nat. Sci. 37, No. 4, 452--455 (2001; Zbl 1070.11501)
Halko, Aapo; Shelah, Saharon On strong measure zero subsets of \({}^\kappa 2\). (English) Zbl 0994.03038 Fundam. Math. 170, No. 3, 219-229 (2001). Reviewer: Alan Dow (Charlotte) MSC: 03E15 03E05 PDFBibTeX XMLCite \textit{A. Halko} and \textit{S. Shelah}, Fundam. Math. 170, No. 3, 219--229 (2001; Zbl 0994.03038) Full Text: DOI arXiv
Downey, Rod; Füredi, Zoltán; Jockusch, Carl G. jun.; Rubel, Lee A. Difference sets and computability theory. (English) Zbl 0924.03079 Ann. Pure Appl. Logic 93, No. 1-3, 63-72 (1998). MSC: 03D25 11B13 05B10 11U99 PDFBibTeX XMLCite \textit{R. Downey} et al., Ann. Pure Appl. Logic 93, No. 1--3, 63--72 (1998; Zbl 0924.03079) Full Text: DOI
Jevtić, Dušan B. Low complexity inverse mappings on sum-distinct elements of a power set. (English) Zbl 0804.04003 Int. J. Comput. Math. 45, No. 3-4, 161-169 (1992). Reviewer: X.-D.Jia (San Marcos) MSC: 03E05 03E20 11B99 PDFBibTeX XMLCite \textit{D. B. Jevtić}, Int. J. Comput. Math. 45, No. 3--4, 161--169 (1992; Zbl 0804.04003) Full Text: DOI
Rickert, Udo Über Summen in abelschen Gruppen. (German) Zbl 0402.10049 J. Number Theory 11, 16-19 (1979). MSC: 11P99 11U99 03C15 05A05 PDFBibTeX XMLCite \textit{U. Rickert}, J. Number Theory 11, 16--19 (1979; Zbl 0402.10049) Full Text: DOI
Ruzsa, I. Z. On the cardinality of A+A and A-A. (English) Zbl 0383.04003 Combinatorics, Keszthely 1976, Colloq. Math. Soc. Janos Bolyai 18, 933-938 (1978). MSC: 03-01 03E99 11P99 PDFBibTeX XML
Pogorzelski, H. A. On the Goldbach conjecture and the consistency of general recursive arithmetic. (English) Zbl 0351.02030 J. Reine Angew. Math. 292, 1-12 (1977). MSC: 03D60 03F99 03D80 11P32 11U99 PDFBibTeX XMLCite \textit{H. A. Pogorzelski}, J. Reine Angew. Math. 292, 1--12 (1977; Zbl 0351.02030) Full Text: DOI Crelle EuDML
Pogorzelski, H. A. Semisemiological structure of the prime numbers and conditional Goldbach theorems. (English) Zbl 0344.02023 J. Reine Angew. Math. 290, 77-92 (1977). MSC: 03F99 11P32 11U99 03D60 03D80 PDFBibTeX XMLCite \textit{H. A. Pogorzelski}, J. Reine Angew. Math. 290, 77--92 (1977; Zbl 0344.02023) Full Text: DOI Crelle EuDML
Ryan, W. J. The equivalence of equational and sentential general recursive arithmetics. (English) Zbl 0351.02031 J. Lond. Math. Soc., II. Ser. 14, 463-475 (1976). MSC: 03D60 03D80 03F99 11P32 11U99 PDFBibTeX XMLCite \textit{W. J. Ryan}, J. Lond. Math. Soc., II. Ser. 14, 463--475 (1976; Zbl 0351.02031) Full Text: DOI
Pogorzelski, H. A. Dirichlet theorems and prime number hypotheses of a conditional Goldbach theorem. (English) Zbl 0333.02025 J. Reine Angew. Math. 286/287, 33-45 (1976). MSC: 03F99 03D60 03D80 11N13 11P32 11U99 PDFBibTeX XMLCite \textit{H. A. Pogorzelski}, J. Reine Angew. Math. 286/287, 33--45 (1976; Zbl 0333.02025) Full Text: DOI Crelle EuDML
Pogorzelski, H. A. On the Goldbach conjecture and the consistency of general recursive arithmetic. (English) Zbl 0319.02027 J. Reine Angew. Math. 268/269, 1-16 (1974). MSC: 03F99 11P32 11U99 03D60 03D80 PDFBibTeX XMLCite \textit{H. A. Pogorzelski}, J. Reine Angew. Math. 268/269, 1--16 (1974; Zbl 0319.02027) Full Text: DOI Crelle EuDML