Hou, Xiang-Dong Lectures on finite fields. (English) Zbl 1414.11001 Graduate Studies in Mathematics 190. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4289-7/hbk; 978-1-4704-4727-4/ebook). x, 229 p. (2018). Reviewer: Lucas da Silva Reis (Belo Horizonte) MSC: 11-01 11T06 11T23 12E20 PDFBibTeX XMLCite \textit{X.-D. Hou}, Lectures on finite fields. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1414.11001) Full Text: DOI Link
Cornelissen, Gunther; Lorscheid, Oliver Toroidal automorphic forms for some function fields. (English) Zbl 1239.11097 J. Number Theory 129, No. 6, 1456-1463 (2009). Reviewer: Sheldon T. Joyner (Boston) MSC: 11M38 11R58 11F55 11M36 PDFBibTeX XMLCite \textit{G. Cornelissen} and \textit{O. Lorscheid}, J. Number Theory 129, No. 6, 1456--1463 (2009; Zbl 1239.11097) Full Text: DOI arXiv
Torres, Fernando Algebraic curves with many points over finite fields. (English) Zbl 1247.14024 Martínez-Moro, Edgar (ed.) et al., Advances in algebraic geometry codes. Hackensack, NJ: World Scientific (ISBN 978-981-279-400-0/hbk). Series on Coding Theory and Cryptology 5, 221-256 (2008). Reviewer: Sergey Stepanov (Moskva) MSC: 14G20 11G15 14G10 14G50 94B27 11-02 PDFBibTeX XMLCite \textit{F. Torres}, Ser. Coding Theory Cryptol. 5, 221--256 (2008; Zbl 1247.14024) Full Text: Link
Pfister, Gerhard A problem in group theory solved by computer algebra. (English) Zbl 1052.20014 Herzog, Jürgen (ed.) et al., Commutative algebra, singularities and computer algebra. Proceedings of the NATO advanced research workshop, Sinaia, Romania, September 17–22, 2002. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1486-4/hbk; 1-4020-1487-2/pbk). NATO Sci. Ser. II, Math. Phys. Chem. 115, 217-223 (2003). Reviewer: Marian Deaconescu (Safat) MSC: 20D10 20E10 20D05 20F12 20F14 20F45 14G05 14G15 13P10 PDFBibTeX XMLCite \textit{G. Pfister}, NATO Sci. Ser. II, Math. Phys. Chem. 115, 217--223 (2003; Zbl 1052.20014)
Christol, G.; Mebkhout, Z. \(p\)-adic differential equations. (English) Zbl 0994.12002 Boulagouaz, M’hammed (ed.) et al., Algebra and number theory. Proceedings of a conference, Fez, Morocco. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 208, 105-116 (2000). Reviewer: E.V.Pankrat’ev (Moskva) MSC: 12H25 34A25 PDFBibTeX XMLCite \textit{G. Christol} and \textit{Z. Mebkhout}, Lect. Notes Pure Appl. Math. 208, 105--116 (2000; Zbl 0994.12002)
Blake, Ian F. Curves with many points and their applications. (English) Zbl 0981.94023 Fossorier, Marc (ed.) et al., Applied algebra, algebraic algorithms and error correcting codes. 13th international symposium, AAECC-13, Honolulu, HI, USA, November 15-19, 1999. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1719, 55-64 (1999). MSC: 94A60 14H52 PDFBibTeX XMLCite \textit{I. F. Blake}, Lect. Notes Comput. Sci. 1719, 55--64 (1999; Zbl 0981.94023)
Anuradha, N.; Katre, S. A. Number of points on the projective curves \(aY^l=bX^l+cZ^l\) and \(aY^{2l}=bX^{2l}+cZ^{2l}\) defined over finite fields, \(l\) an odd prime. (English) Zbl 0955.11017 J. Number Theory 77, No. 2, 288-313 (1999). Reviewer: Barry Green (Stellenbosh) MSC: 11G20 11T24 11T22 14H25 14G10 PDFBibTeX XMLCite \textit{N. Anuradha} and \textit{S. A. Katre}, J. Number Theory 77, No. 2, 288--313 (1999; Zbl 0955.11017) Full Text: DOI
Darmon, Henri Wiles’ theorem and the arithmetic of elliptic curves. (English) Zbl 0919.11043 Cornell, Gary (ed.) et al., Modular forms and Fermat’s last theorem. Papers from a conference, Boston, MA, USA, August 9–18, 1995. New York, NY: Springer. 549-569 (1997). Reviewer: A.Dabrowski (Szczecin) MSC: 11G05 11G40 PDFBibTeX XMLCite \textit{H. Darmon}, in: Modular forms and Fermat's last theorem. Papers from a conference, Boston, MA, USA, August 9--18, 1995. New York, NY: Springer. 549--569 (1997; Zbl 0919.11043)
Szőnyi, T. Some applications of algebraic curves in finite geometry and combinatorics. (English) Zbl 0896.51009 Bailey, R. A. (ed.), Surveys in combinatorics, 1997. Proceedings of the 16th British combinatorial conference, London, UK, July 1997. London: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 241, 197-236 (1997). Reviewer: J.W.P.Hirschfeld (Falmer) MSC: 51E21 PDFBibTeX XMLCite \textit{T. Szőnyi}, Lond. Math. Soc. Lect. Note Ser. 241, 197--236 (1997; Zbl 0896.51009)
Hulsbergen, Wilfred W. J. Conjectures in arithmetic algebraic geometry. A survey. 2nd rev. ed. (English) Zbl 0793.14011 Aspects of Mathematics. E. 18. Braunschweig: Vieweg. 245 p. (1994). Reviewer: G.van der Geer (Amsterdam) MSC: 14G40 14-02 14C35 14G10 11-02 11G40 14A20 14Gxx PDFBibTeX XMLCite \textit{W. W. J. Hulsbergen}, Conjectures in arithmetic algebraic geometry. A survey. 2nd rev. ed. Braunschweig: Vieweg (1994; Zbl 0793.14011)
Stichtenoth, Henning Algebraic function fields and codes. (English) Zbl 0816.14011 Universitext. Berlin: Springer-Verlag. x, 260 p. (1993). Reviewer: M.van der Vlugt (Leiden) MSC: 14H05 11R58 14-01 14-02 94-01 94-02 94B27 94B15 PDFBibTeX XMLCite \textit{H. Stichtenoth}, Algebraic function fields and codes. Berlin: Springer-Verlag (1993; Zbl 0816.14011)
Koblitz, Neal Introduction to elliptic curves and modular forms. 2. ed. (English) Zbl 0804.11039 Graduate Texts in Mathematics. 97. New York: Springer-Verlag. x, 248 p. (1993). Reviewer: W.Kohnen (Bonn) MSC: 11G05 14H52 11Fxx 11-02 14-02 PDFBibTeX XMLCite \textit{N. Koblitz}, Introduction to elliptic curves and modular forms. 2. ed. New York: Springer-Verlag (1993; Zbl 0804.11039)
Coates, John Elliptic curves and Iwasawa theory. (English) Zbl 0561.14012 Modular forms, Symp. Durham/Engl. 1983, 51-73 (1984). Reviewer: Horst G. Zimmer (Saarbrücken) MSC: 11G05 11G40 11R23 11-02 14G10 PDFBibTeX XML
Koblitz, Neal Introduction to elliptic curves and modular forms. (English) Zbl 0553.10019 Graduate Texts in Mathematics, 97. New York etc.: Springer-Verlag. viii, 248 pp. DM 112.00 (1984). Reviewer: L. D. Olson MSC: 11G05 11-01 11F37 11G40 11D09 11G15 PDFBibTeX XML
Ughi, Emanuela On the number of points of elliptic curves over a finite field and a problem of B. Segre. (English) Zbl 0527.51020 Eur. J. Comb. 4, 263-270 (1983). MSC: 51E15 14G15 14H52 PDFBibTeX XMLCite \textit{E. Ughi}, Eur. J. Comb. 4, 263--270 (1983; Zbl 0527.51020) Full Text: DOI
Stark, H. M. The Coates-Wiles theorem revisited. (English) Zbl 0542.14010 Number theory related to Fermat’s last theorem, Proc. Conf., Prog. Math. 26, 349-362 (1982). Reviewer: H.G.Zimmer MSC: 14G10 14H25 11R18 11R37 14G25 PDFBibTeX XML
Goppa, V. D. Codes on algebraic curves. (English. Russian original) Zbl 0489.94014 Sov. Math., Dokl. 24, 170-172 (1981); translation from Dokl. Akad. Nauk SSSR 259, 1289-1290 (1981). MSC: 94B05 14C20 94B40 PDFBibTeX XMLCite \textit{V. D. Goppa}, Sov. Math., Dokl. 24, 170--172 (1981; Zbl 0489.94014); translation from Dokl. Akad. Nauk SSSR 259, 1289--1290 (1981)