Caporaso, Lucia; Harris, Joe; Mazur, Barry Uniformity of rational points: an up-date and corrections. (English) Zbl 1493.14039 Tunis. J. Math. 4, No. 1, 183-201 (2022). Reviewer: Karl Christ (Be’er Sheva) MSC: 14G05 14H25 14H10 PDFBibTeX XMLCite \textit{L. Caporaso} et al., Tunis. J. Math. 4, No. 1, 183--201 (2022; Zbl 1493.14039) Full Text: DOI
Mazur, Barry Reprint: Arithmetic on curves. (English) Zbl 1398.14034 Bull. Am. Math. Soc., New Ser. 55, No. 3, 207-259 (original pagination) (2018). MSC: 14H25 14K15 01A65 14H52 14Kxx 11Dxx 14G05 11G05 11G10 11G15 PDFBibTeX XMLCite \textit{B. Mazur}, Bull. Am. Math. Soc., New Ser. 55, No. 3, 207--259 (original pagination) (2018; Zbl 1398.14034)
Mazur, Barry; Rubin, Karl [Larsen, Michael] Diophantine stability. (English) Zbl 1491.14036 Am. J. Math. 140, No. 3, 571-616 (2018). Reviewer: Michel Waldschmidt (Paris) MSC: 14G05 11G05 14H25 14K05 PDFBibTeX XMLCite \textit{B. Mazur} and \textit{K. Rubin}, Am. J. Math. 140, No. 3, 571--616 (2018; Zbl 1491.14036) Full Text: DOI arXiv
Mazur, B. Afterword to the article “Arithmetic on curves”. (English) Zbl 1390.11005 Bull. Am. Math. Soc., New Ser. 55, No. 3, 353-358 (2018). MSC: 11-03 01A60 01A61 14Hxx 14Kxx 11Dxx 11-02 11G05 11G10 11G15 PDFBibTeX XMLCite \textit{B. Mazur}, Bull. Am. Math. Soc., New Ser. 55, No. 3, 353--358 (2018; Zbl 1390.11005) Full Text: DOI
Derickx, Maarten; Mazur, Barry; Kamienny, Sheldon Rational families of \(17\)-torsion points of elliptic curves over number fields. (English) Zbl 1440.11092 Lario, Joan-Carles (ed.) et al., Number theory related to modular curves: Momose memorial volume. Proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar in memory of Fumiyuki Momose, Barcelona, Spain, May 21–23, 2012. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 701, 81-104 (2018). MSC: 11G05 11G18 14G35 14H51 PDFBibTeX XMLCite \textit{M. Derickx} et al., Contemp. Math. 701, 81--104 (2018; Zbl 1440.11092) Full Text: DOI
Tate, J. [Dwork, Bernard; Mazur, Barry] An old letter from J. Tate to B. Dwork, as viewed recently by J. Tate and B. Mazur. (English. Russian original) Zbl 1461.14003 Izv. Math. 80, No. 5, 954-957 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 5, 153-156 (2016). MSC: 14-03 14H52 01A75 PDFBibTeX XMLCite \textit{J. Tate}, Izv. Math. 80, No. 5, 954--957 (2016; Zbl 1461.14003); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 5, 153--156 (2016) Full Text: DOI
Agashe, Amod; Stein, William [Cremona, J.; Mazur, B.] Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero. With an Appendix by J. Cremona and B. Mazur. (English) Zbl 1084.11033 Math. Comput. 74, No. 249, 455-484 (2005). Reviewer: Franz Lemmermeyer (Bilkent) MSC: 11G40 11F11 11G10 14K15 14H25 14H40 PDFBibTeX XMLCite \textit{A. Agashe} and \textit{W. Stein}, Math. Comput. 74, No. 249, 455--484 (2005; Zbl 1084.11033) Full Text: DOI
Mazur, B. Open problems regarding rational points on curves and varieties. (English) Zbl 0943.14009 Scholl, A. J. (ed.) et al., Galois representations in arithmetic algebraic geometry. Proceedings of the symposium, Durham, UK, July 9-18, 1996. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 254, 239-265 (1998). Reviewer: D.Poulakis (Thessaloniki) MSC: 14G05 14F45 14H52 11G05 14G35 PDFBibTeX XMLCite \textit{B. Mazur}, Lond. Math. Soc. Lect. Note Ser. 254, 239--265 (1998; Zbl 0943.14009)
Caporaso, Lucia; Harris, Joe; Mazur, Barry Uniformity of rational points. (English) Zbl 0872.14017 J. Am. Math. Soc. 10, No. 1, 1-35 (1997). Reviewer: N.Yui (Kingston/Ontario) MSC: 14G05 14H25 14H10 PDFBibTeX XMLCite \textit{L. Caporaso} et al., J. Am. Math. Soc. 10, No. 1, 1--35 (1997; Zbl 0872.14017) Full Text: DOI
Mazur, Barry (ed.); Rubin, Karl (ed.) Papers from the colloquium of the National Academy of Sciences on elliptic curves and modular forms, Washington, DC, USA, March 15–17, 1996. (English) Zbl 0882.00034 Proc. Natl. Acad. Sci. USA 94, No. 21, 11109-11751 (1997). MSC: 00B25 14H52 PDFBibTeX XML Full Text: Link
Caporaso, Lucia; Harris, Joe; Mazur, Barry How many rational points can a curve have? (English) Zbl 0862.14012 Dijkgraaf, R. H. (ed.) et al., The moduli space of curves. Proceedings of the conference held on Texel Island, Netherlands, during the last week of April 1994. Basel: Birkhäuser. Prog. Math. 129, 13-31 (1995). Reviewer: E.Casas-Alvero (Barcelona) MSC: 14G05 14H25 14N10 PDFBibTeX XMLCite \textit{L. Caporaso} et al., Prog. Math. 129, 13--31 (1995; Zbl 0862.14012)
Kamienny, S.; Mazur, B. [Granville, A.] Rational torsion of prime order in elliptic curves over number fields (with an appendix by A. Granville). (English) Zbl 0846.14012 Columbia University number theory seminar, New York, 1992. Paris: Société Mathématique de France, Astérisque. 228, 81-98; appendix 99-100 (1995). Reviewer: H.G.Zimmer (Saarbrücken) MSC: 14H25 11G05 14H52 PDFBibTeX XMLCite \textit{S. Kamienny} and \textit{B. Mazur}, in: Columbia University number theory seminar, New York, 1992. Paris: Société Mathématique de France. 81--98; appendix 99--100 (1995; Zbl 0846.14012)
Mazur, B.; Ribet, K. A. Two-dimensional representations in the arithmetic of modular curves. (English) Zbl 0780.14015 Courbes modulaires et courbes de Shimura, C. R. Sémin., Orsay/Fr. 1987-88, Astérisque 196-197, 215-255 (1991). Reviewer: F.Herrlich (Karlsruhe) MSC: 14H25 14G35 11G18 PDFBibTeX XMLCite \textit{B. Mazur} and \textit{K. A. Ribet}, Astérisque 196--197, 215--255 (1991; Zbl 0780.14015)
Mazur, B.; Tate, J. The \(p\)-adic sigma function. (English) Zbl 0735.14020 Duke Math. J. 62, No. 3, 663-688 (1991). Reviewer: W.Kleinert (Berlin) MSC: 14G20 14G40 14H52 14G10 14K25 PDFBibTeX XMLCite \textit{B. Mazur} and \textit{J. Tate}, Duke Math. J. 62, No. 3, 663--688 (1991; Zbl 0735.14020) Full Text: DOI
Mazur, B.; Tate, J. Refined conjectures of the “Birch and Swinnerton-Dyer type”. (English) Zbl 0636.14004 Duke Math. J. 54, 711-750 (1987). Reviewer: S.Kamienny MSC: 14G10 14H52 14H45 11F11 14K15 PDFBibTeX XMLCite \textit{B. Mazur} and \textit{J. Tate}, Duke Math. J. 54, 711--750 (1987; Zbl 0636.14004) Full Text: DOI
Mazur, B.; Tate, J.; Teitelbaum, J. On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer. (English) Zbl 0699.14028 Invent. Math. 84, 1-48 (1986). Reviewer: A. Ovseevich (R. Zh. Mat. 1986, 12A522) MSC: 14G20 11G40 11G07 14H25 14G10 14G05 PDFBibTeX XMLCite \textit{B. Mazur} et al., Invent. Math. 84, 1--48 (1986; Zbl 0699.14028) Full Text: DOI EuDML
Mazur, Barry Arithmetic on curves. (English) Zbl 0593.14021 Bull. Am. Math. Soc., New Ser. 14, 207-259 (1986). Reviewer: C.-G.Schmidt MSC: 14H25 14K15 01A65 14H52 11D99 PDFBibTeX XMLCite \textit{B. Mazur}, Bull. Am. Math. Soc., New Ser. 14, 207--259 (1986; Zbl 0593.14021) Full Text: DOI
Katz, Nicholas M.; Mazur, Barry Arithmetic moduli of elliptic curves. (English) Zbl 0576.14026 Annals of Mathematics Studies, 108. Princeton, New Jersey: Princeton University Press. XIV, 514 p. hbk: $ 78.00; pbk: $ 22.50 (1985). Reviewer: G.Horrocks MSC: 14H10 14-02 14D22 14H52 14D20 11F03 14H45 PDFBibTeX XML Full Text: DOI
Mazur, B. Modular curves and arithmetic. (English) Zbl 0597.14023 Proc. Int. Congr. Math., Warszawa 1983, Vol. 1, 185-211 (1984). Reviewer: S.Kamienny MSC: 14H25 14K22 11F27 14H52 14G25 14G20 14H45 11G15 PDFBibTeX XML
Mazur, B.; Wiles, A. Analogies between function fields and number fields. (English) Zbl 0531.12015 Am. J. Math. 105, 507-521 (1983). Reviewer: H.G.Zimmer MSC: 11S40 11R58 14G15 11R42 14H05 14G10 14H40 PDFBibTeX XMLCite \textit{B. Mazur} and \textit{A. Wiles}, Am. J. Math. 105, 507--521 (1983; Zbl 0531.12015) Full Text: DOI
Gross, Benedict H. [Mazur, B.] Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur. (English) Zbl 0433.14032 Lecture Notes in Mathematics. 776. Berlin-Heidelberg-New York: Springer-Verlag. V, 95 p. DM 18.00; $ 10.10 (1980). MSC: 14K22 14G05 14G10 14H52 14-02 11G15 PDFBibTeX XML Full Text: DOI
Zariski, Oscar Artin, M. (ed.); Mazur, B. (ed.) Collected papers. Vol. III: Topology of curves and surfaces, and special topics in the theory of algebraic varieties. Edited and with an introduction by M. Artin and B. Mazur. (English) Zbl 0446.14001 Mathematicians of Our Time 12. Cambridge, Massachusetts; London: The MIT Press. xxvi, 480 p. £28.00 (1978). Reviewer: David Kirby (Southampton) MSC: 14-03 01A75 14H30 14E20 12J20 14H20 PDFBibTeX XML
Mazur, B. [Goldfeld, D.] Rational isogenies of prime degree. (With an appendix by D. Goldfeld). (English) Zbl 0386.14009 Invent. Math. 44, 129-162 (1978). MSC: 14G05 14H45 14H52 14L30 11F03 14E30 14H40 PDFBibTeX XMLCite \textit{B. Mazur}, Invent. Math. 44, 129--162 (1978; Zbl 0386.14009) Full Text: DOI EuDML Backlinks: MO
Mazur, B. Modular curves and the Eisenstein ideal. (English) Zbl 0394.14008 Publ. Math., Inst. Hautes Étud. Sci. 47, 33-186 (1977). Reviewer: L. D. Olson MSC: 14G35 11G18 14G05 14H45 14H52 14H40 11F06 PDFBibTeX XMLCite \textit{B. Mazur}, Publ. Math., Inst. Hautes Étud. Sci. 47, 33--186 (1977; Zbl 0394.14008) Full Text: DOI Numdam EuDML
Mazur, Barry; Serre, Jean-Pierre Points rationnels des courbes modulaires \(X_0(N)\). (French) Zbl 0346.14013 Semin. Bourbaki 1974/75, Lect. Notes Math. 514, Expose No. 469, 238-255 (1976). MSC: 14H25 11F12 14G25 PDFBibTeX XML Full Text: Numdam EuDML
Mazur, B. p-adic analytic number theory of elliptic curves and Abelian varieties over Q. (English) Zbl 0351.14011 Proc. int. Congr. Math., Vancouver 1974, Vol. 1, 369-377 (1975). MSC: 14G20 11F03 14G05 11S80 14H25 14H40 14K15 PDFBibTeX XML
Mazur, B.; Swinnerton-Dyer, P. Arithmetic of Weil curves. (English) Zbl 0281.14016 Invent. Math. 25, 1-61 (1974). MSC: 14H45 14G05 14H10 PDFBibTeX XMLCite \textit{B. Mazur} and \textit{P. Swinnerton-Dyer}, Invent. Math. 25, 1--61 (1974; Zbl 0281.14016) Full Text: DOI EuDML
Mazur, Barry Courbes elliptiques et symboles modulaires. (French) Zbl 0276.14012 Sem. Bourbaki 1971/72, No. 414, Lect. Notes Math. 317, 277-294 (1973). MSC: 14G25 14K15 11F03 14H25 PDFBibTeX XML Full Text: Numdam EuDML
Mazur, B.; Tate, J. Points of order 13 on elliptic curves. (English) Zbl 0268.14009 Invent. Math. 22, 41-49 (1973). MSC: 14G05 14H45 14H25 PDFBibTeX XMLCite \textit{B. Mazur} and \textit{J. Tate}, Invent. Math. 22, 41--49 (1973; Zbl 0268.14009) Full Text: DOI EuDML
Mazur, Barry; Velu, Jacques Courbes de Weil de conducteur 26. (French) Zbl 0241.14015 C. R. Acad. Sci., Paris, Sér. A 275, 743-745 (1972). MSC: 14G99 14H45 14H10 PDFBibTeX XMLCite \textit{B. Mazur} and \textit{J. Velu}, C. R. Acad. Sci., Paris, Sér. A 275, 743--745 (1972; Zbl 0241.14015)