Sanders, Tom Coset decision trees and the Fourier algebra. (English) Zbl 1497.43004 J. Anal. Math. 144, No. 1, 227-259 (2021). Reviewer: Yaogan Mensah (Lomé) MSC: 43A25 06E30 20D60 PDFBibTeX XMLCite \textit{T. Sanders}, J. Anal. Math. 144, No. 1, 227--259 (2021; Zbl 1497.43004) Full Text: DOI arXiv
Sanders, Tom On inequivalences of sequences of characters. (English) Zbl 1459.42042 Stud. Math. 257, No. 3, 241-252 (2021). MSC: 42C10 42A65 PDFBibTeX XMLCite \textit{T. Sanders}, Stud. Math. 257, No. 3, 241--252 (2021; Zbl 1459.42042) Full Text: DOI arXiv
Sanders, Tom The Erdős-Moser sum-free set problem. (English) Zbl 1466.11068 Can. J. Math. 73, No. 1, 63-107 (2021). Reviewer: Ilya D. Shkredov (Moskva) MSC: 11P70 11B13 PDFBibTeX XMLCite \textit{T. Sanders}, Can. J. Math. 73, No. 1, 63--107 (2021; Zbl 1466.11068) Full Text: DOI arXiv
Sanders, T. On monochromatic solutions to \(x-y=z^2\). (English) Zbl 1474.42035 Acta Math. Hung. 161, No. 2, 550-556 (2020). Reviewer: Alexander Ulanovskii (Stavanger) MSC: 11B30 11D45 11B75 42B05 PDFBibTeX XMLCite \textit{T. Sanders}, Acta Math. Hung. 161, No. 2, 550--556 (2020; Zbl 1474.42035) Full Text: DOI arXiv
Sanders, Tom Bootstrapping partition regularity of linear systems. (English) Zbl 1448.05204 Proc. Edinb. Math. Soc., II. Ser. 63, No. 3, 630-653 (2020). MSC: 05D10 11B30 PDFBibTeX XMLCite \textit{T. Sanders}, Proc. Edinb. Math. Soc., II. Ser. 63, No. 3, 630--653 (2020; Zbl 1448.05204) Full Text: DOI arXiv
Sanders, Tom The coset and stability rings. (English) Zbl 1441.11026 Online J. Anal. Comb. 15, Article 1, 10 p. (2020). MSC: 11B30 03C13 PDFBibTeX XMLCite \textit{T. Sanders}, Online J. Anal. Comb. 15, Article 1, 10 p. (2020; Zbl 1441.11026) Full Text: arXiv Link Backlinks: MO
Sanders, Tom Bounds in Cohen’s idempotent theorem. (English) Zbl 1455.43002 J. Fourier Anal. Appl. 26, No. 2, Paper No. 25, 64 p. (2020). Reviewer: Michael J. Puls (New York) MSC: 43A25 43A15 PDFBibTeX XMLCite \textit{T. Sanders}, J. Fourier Anal. Appl. 26, No. 2, Paper No. 25, 64 p. (2020; Zbl 1455.43002) Full Text: DOI arXiv
Sanders, Tom The stability of finite sets in dyadic groups. (English) Zbl 1479.11033 Acta Arith. 192, No. 2, 155-164 (2020). Reviewer: Van Thang Pham (Rochester) MSC: 11B30 PDFBibTeX XMLCite \textit{T. Sanders}, Acta Arith. 192, No. 2, 155--164 (2020; Zbl 1479.11033) Full Text: DOI arXiv
Sanders, Tom Schur’s colouring theorem for noncommuting pairs. (English) Zbl 1469.20065 Bull. Aust. Math. Soc. 100, No. 3, 446-452 (2019). MSC: 20P05 05C15 PDFBibTeX XMLCite \textit{T. Sanders}, Bull. Aust. Math. Soc. 100, No. 3, 446--452 (2019; Zbl 1469.20065) Full Text: DOI arXiv
Sanders, Tom Boolean functions with small spectral norm, revisited. (English) Zbl 1448.94314 Math. Proc. Camb. Philos. Soc. 167, No. 2, 335-344 (2019). MSC: 94D10 06E30 11B75 42A05 43A25 PDFBibTeX XMLCite \textit{T. Sanders}, Math. Proc. Camb. Philos. Soc. 167, No. 2, 335--344 (2019; Zbl 1448.94314) Full Text: DOI arXiv
Sanders, Tom Approximate homomorphisms between the Boolean cube and groups of prime order. (English) Zbl 1387.05268 Online J. Anal. Comb. 13, Article 1, 7 p. (2018). MSC: 05E10 05E15 PDFBibTeX XMLCite \textit{T. Sanders}, Online J. Anal. Comb. 13, Article 1, 7 p. (2018; Zbl 1387.05268) Full Text: Link Backlinks: MO
Sanders, Tom Almost homomorphisms between the Boolean cube and groups of prime order. arXiv:1804.03192 Preprint, arXiv:1804.03192 [math.CO] (2018). BibTeX Cite \textit{T. Sanders}, ``Almost homomorphisms between the Boolean cube and groups of prime order'', Preprint, arXiv:1804.03192 [math.CO] (2018) Full Text: arXiv OA License
Sanders, Tom Solving \(xz=y^2\) in certain subsets of finite groups. (English) Zbl 1386.20018 Q. J. Math. 68, No. 1, 243-273 (2017). Reviewer: Balasubramanian Sury (Bangalore) MSC: 20D60 11B25 22D40 PDFBibTeX XMLCite \textit{T. Sanders}, Q. J. Math. 68, No. 1, 243--273 (2017; Zbl 1386.20018) Full Text: DOI arXiv
Green, Ben; Sanders, Tom Monochromatic sums and products. (English) Zbl 1400.11024 Discrete Anal. 2016, Paper No. 5, 43 p. (2016). MSC: 11B30 05D10 PDFBibTeX XMLCite \textit{B. Green} and \textit{T. Sanders}, Discrete Anal. 2016, Paper No. 5, 43 p. (2016; Zbl 1400.11024) Full Text: DOI arXiv
Sanders, Tom A statistical approach to covering lemmas. (English) Zbl 1348.11013 Eur. J. Comb. 48, 19-33 (2015). Reviewer: Sandor Kiss (Budapest) MSC: 11B30 11B75 11P70 PDFBibTeX XMLCite \textit{T. Sanders}, Eur. J. Comb. 48, 19--33 (2015; Zbl 1348.11013) Full Text: DOI arXiv
Green, Ben; Sanders, Tom Fourier uniformity on subspaces. arXiv:1510.08739 Preprint, arXiv:1510.08739 [math.NT] (2015). BibTeX Cite \textit{B. Green} and \textit{T. Sanders}, ``Fourier uniformity on subspaces'', Preprint, arXiv:1510.08739 [math.NT] (2015) Full Text: arXiv OA License
Sanders, Tom Roth’s theorem: an application of approximate groups. (English) Zbl 1386.11025 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-806-3/hbk; 978-89-6105-803-2/set). 401-423 (2014). MSC: 11B25 PDFBibTeX XMLCite \textit{T. Sanders}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa. 401--423 (2014; Zbl 1386.11025)
Sanders, Tom Book review of: Terence Tao, Higher order Fourier analysis. (English) Zbl 1285.00025 Jahresber. Dtsch. Math.-Ver. 115, No. 3-4, 207-209 (2014). MSC: 00A17 11B30 11-02 11L07 11U07 37A45 PDFBibTeX XMLCite \textit{T. Sanders}, Jahresber. Dtsch. Math.-Ver. 115, No. 3--4, 207--209 (2014; Zbl 1285.00025) Full Text: DOI
Sanders, Tom Approximate (abelian) groups. (English) Zbl 1364.11033 Latała, Rafał (ed.) et al., European Congress of Mathematics. Proceedings of the 6th ECM congress, Kraków, Poland, July 2–7 July, 2012. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-120-0/hbk). 675-689 (2013). MSC: 11B30 20K99 11P70 PDFBibTeX XMLCite \textit{T. Sanders}, in: European Congress of Mathematics. Proceedings of the 6th ECM congress, Kraków, Poland, July 2--7 July, 2012. Zürich: European Mathematical Society (EMS). 675--689 (2013; Zbl 1364.11033) Full Text: DOI arXiv
Sanders, T. Structure in sets with logarithmic doubling. (English) Zbl 1310.11013 Can. Math. Bull. 56, No. 2, 412-423 (2013). MSC: 11B25 PDFBibTeX XMLCite \textit{T. Sanders}, Can. Math. Bull. 56, No. 2, 412--423 (2013; Zbl 1310.11013) Full Text: DOI arXiv
Sanders, Tom The structure theory of set addition revisited. (English) Zbl 1337.11014 Bull. Am. Math. Soc., New Ser. 50, No. 1, 93-127 (2013). Reviewer: Sandor Kiss (Budapest) MSC: 11B75 PDFBibTeX XMLCite \textit{T. Sanders}, Bull. Am. Math. Soc., New Ser. 50, No. 1, 93--127 (2013; Zbl 1337.11014) Full Text: DOI arXiv
Sanders, Tom On certain other sets of integers. (English) Zbl 1280.11009 J. Anal. Math. 116, 53-82 (2012). Reviewer: Christian Elsholtz (Graz) MSC: 11B25 11B30 PDFBibTeX XMLCite \textit{T. Sanders}, J. Anal. Math. 116, 53--82 (2012; Zbl 1280.11009) Full Text: DOI arXiv
Sanders, Tom On the Bogolyubov-Ruzsa lemma. (English) Zbl 1320.11009 Anal. PDE 5, No. 3, 627-655 (2012). Reviewer: Sandor Kiss (Budapest) MSC: 11B25 11B30 11L07 20K01 PDFBibTeX XMLCite \textit{T. Sanders}, Anal. PDE 5, No. 3, 627--655 (2012; Zbl 1320.11009) Full Text: DOI arXiv Link
Sanders, Tom Approximate groups and doubling metrics. (English) Zbl 1332.11014 Math. Proc. Camb. Philos. Soc. 152, No. 3, 385-404 (2012). Reviewer: Imre Z. Ruzsa (Budapest) MSC: 11B30 11P70 20D15 20K99 PDFBibTeX XMLCite \textit{T. Sanders}, Math. Proc. Camb. Philos. Soc. 152, No. 3, 385--404 (2012; Zbl 1332.11014) Full Text: DOI arXiv
Sanders, Tom An analytic approach to a weak non-Abelian Kneser-type theorem. arXiv:1212.0457 Preprint, arXiv:1212.0457 [math.CA] (2012). BibTeX Cite \textit{T. Sanders}, ``An analytic approach to a weak non-Abelian Kneser-type theorem'', Preprint, arXiv:1212.0457 [math.CA] (2012) Full Text: arXiv OA License
Sanders, Tom On Roth’s theorem on progressions. (English) Zbl 1264.11004 Ann. Math. (2) 174, No. 1, 619-636 (2011). Reviewer: Christian Elsholtz (Graz) MSC: 11B25 11B30 PDFBibTeX XMLCite \textit{T. Sanders}, Ann. Math. (2) 174, No. 1, 619--636 (2011; Zbl 1264.11004) Full Text: DOI arXiv
Sanders, Tom A quantitative version of the non-Abelian idempotent theorem. (English) Zbl 1213.43007 Geom. Funct. Anal. 21, No. 1, 141-221 (2011). Reviewer: Julia Wolf (Palaiseau) MSC: 43A35 11B30 PDFBibTeX XMLCite \textit{T. Sanders}, Geom. Funct. Anal. 21, No. 1, 141--221 (2011; Zbl 1213.43007) Full Text: DOI arXiv
Sanders, Tom Green’s sumset problem at density one half. (English) Zbl 1225.11015 Acta Arith. 146, No. 1, 91-101 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11B13 11B30 PDFBibTeX XMLCite \textit{T. Sanders}, Acta Arith. 146, No. 1, 91--101 (2011; Zbl 1225.11015) Full Text: DOI arXiv
Sanders, Tom Popular difference sets. (English) Zbl 1244.05037 Online J. Anal. Comb. 5, Article 3, 4 p. (2010). MSC: 05B10 11B30 PDFBibTeX XMLCite \textit{T. Sanders}, Online J. Anal. Comb. 5, Article 3, 4 p. (2010; Zbl 1244.05037) Full Text: arXiv Link
Sanders, Tom On a theorem of Shkredov. (English) Zbl 1261.11014 Online J. Anal. Comb. 5, Article 4, 4 p. (2010). Reviewer: Sandor Kiss (Budapest) MSC: 11B30 11B75 20K01 PDFBibTeX XMLCite \textit{T. Sanders}, Online J. Anal. Comb. 5, Article 4, 4 p. (2010; Zbl 1261.11014) Full Text: arXiv Link
Sanders, Tom Chowla’s cosine problem. (English) Zbl 1209.43003 Isr. J. Math. 179, 1-28 (2010). Reviewer: Julia Wolf (Palaiseau) MSC: 43A25 11K38 11K06 PDFBibTeX XMLCite \textit{T. Sanders}, Isr. J. Math. 179, 1--28 (2010; Zbl 1209.43003) Full Text: DOI arXiv
Sanders, Tom On a nonabelian Balog-Szemerédi-type lemma. (English) Zbl 1223.11014 J. Aust. Math. Soc. 89, No. 1, 127-132 (2010). Reviewer: Štefan Porubský (Praha) MSC: 11B13 11P99 20F99 20P99 PDFBibTeX XMLCite \textit{T. Sanders}, J. Aust. Math. Soc. 89, No. 1, 127--132 (2010; Zbl 1223.11014) Full Text: DOI arXiv
Sanders, Tom Roth’s theorem in \(\mathbb Z^n_4\). (English) Zbl 1197.11017 Anal. PDE 2, No. 2, 211-234 (2009). Reviewer: István Mező (Debrecen) MSC: 11B30 11B25 PDFBibTeX XMLCite \textit{T. Sanders}, Anal. PDE 2, No. 2, 211--234 (2009; Zbl 1197.11017) Full Text: DOI arXiv Link
Sanders, Tom A Freĭman-type theorem for locally compact Abelian groups. (English) Zbl 1179.43002 Ann. Inst. Fourier 59, No. 4, 1321-1335 (2009). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 43A25 11B25 PDFBibTeX XMLCite \textit{T. Sanders}, Ann. Inst. Fourier 59, No. 4, 1321--1335 (2009; Zbl 1179.43002) Full Text: DOI arXiv EuDML
Sanders, Tom Three-term arithmetic progressions and sumsets. (English) Zbl 1221.11029 Proc. Edinb. Math. Soc., II. Ser. 52, No. 1, 211-233 (2009). Reviewer: Olof Sisask (London) MSC: 11B25 11K70 11P55 43A25 PDFBibTeX XMLCite \textit{T. Sanders}, Proc. Edinb. Math. Soc., II. Ser. 52, No. 1, 211--233 (2009; Zbl 1221.11029) Full Text: DOI arXiv
Green, Ben; Sanders, Tom A quantitative version of the idempotent theorem in harmonic analysis. (English) Zbl 1170.43003 Ann. Math. (2) 168, No. 3, 1025-1054 (2008). Reviewer: Mehdi Hassani (Zanjan) MSC: 43A25 22B10 PDFBibTeX XMLCite \textit{B. Green} and \textit{T. Sanders}, Ann. Math. (2) 168, No. 3, 1025--1054 (2008; Zbl 1170.43003) Full Text: DOI arXiv Link
Sanders, Tom Appendix to ‘Roth’s theorem on progressions revisited’ by J. Bourgain. (English) Zbl 1222.11014 J. Anal. Math. 104, 193-206 (2008). Reviewer: Imre Z. Ruzsa (Budapest) MSC: 11B25 11P55 PDFBibTeX XMLCite \textit{T. Sanders}, J. Anal. Math. 104, 193--206 (2008; Zbl 1222.11014) Full Text: DOI arXiv
Sanders, Tom A note on Freĭman’s theorem in vector spaces. (English) Zbl 1151.15003 Comb. Probab. Comput. 17, No. 2, 297-305 (2008). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 11B13 11B75 PDFBibTeX XMLCite \textit{T. Sanders}, Comb. Probab. Comput. 17, No. 2, 297--305 (2008; Zbl 1151.15003) Full Text: DOI arXiv
Sanders, Tom Additive structures in sumsets. (English) Zbl 1241.11010 Math. Proc. Camb. Philos. Soc. 144, No. 2, 289-316 (2008). Reviewer: Štefan Porubský (Praha) MSC: 11B25 11B13 43A25 PDFBibTeX XMLCite \textit{T. Sanders}, Math. Proc. Camb. Philos. Soc. 144, No. 2, 289--316 (2008; Zbl 1241.11010) Full Text: DOI arXiv
Green, Ben; Sanders, Tom Boolean functions with small spectral norm. (English) Zbl 1221.11031 Geom. Funct. Anal. 18, No. 1, 144-162 (2008). MSC: 11B75 11L03 42A05 94D10 PDFBibTeX XMLCite \textit{B. Green} and \textit{T. Sanders}, Geom. Funct. Anal. 18, No. 1, 144--162 (2008; Zbl 1221.11031) Full Text: DOI arXiv
Ruzsa, Imre Z.; Sanders, Tom Difference sets and the primes. (English) Zbl 1170.11023 Acta Arith. 131, No. 3, 281-301 (2008). Reviewer: Tatyana L. Todorova (Sofia) MSC: 11L07 11P55 PDFBibTeX XMLCite \textit{I. Z. Ruzsa} and \textit{T. Sanders}, Acta Arith. 131, No. 3, 281--301 (2008; Zbl 1170.11023) Full Text: DOI arXiv
Sanders, Tom The Littlewood-Gowers problem. (English) Zbl 1206.11013 J. Anal. Math. 101, 123-162 (2007). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 11B05 11B25 43A25 PDFBibTeX XMLCite \textit{T. Sanders}, J. Anal. Math. 101, 123--162 (2007; Zbl 1206.11013) Full Text: DOI arXiv
Sanders, Tom The \(\ell^1\)-norm of the Fourier transform on compact vector spaces. (English) Zbl 1127.42001 Bull. Lond. Math. Soc. 39, No. 3, 509-521 (2007). Reviewer: Stefan Neuwirth (Besançon) MSC: 42A05 11L03 43A75 PDFBibTeX XMLCite \textit{T. Sanders}, Bull. Lond. Math. Soc. 39, No. 3, 509--521 (2007; Zbl 1127.42001) Full Text: DOI arXiv
Sanders, Tom An application of a local version of Chang’s theorem. arXiv:math/0607668 Preprint, arXiv:math/0607668 [math.CA] (2006). BibTeX Cite \textit{T. Sanders}, ``An application of a local version of Chang's theorem'', Preprint, arXiv:math/0607668 [math.CA] (2006) Full Text: arXiv