Qin, Hourong Congruent numbers, quadratic forms and \(K_2\). (English) Zbl 1503.11141 Math. Ann. 383, No. 3-4, 1647-1686 (2022). Reviewer: Kevin Hutchinson (Dublin) MSC: 11R70 11E25 11G05 PDFBibTeX XMLCite \textit{H. Qin}, Math. Ann. 383, No. 3--4, 1647--1686 (2022; Zbl 1503.11141) Full Text: DOI
Burungale, Ashay; Tian, Ye The even parity Goldfeld conjecture: congruent number elliptic curves. (English) Zbl 1484.11131 J. Number Theory 230, 161-195 (2022). Reviewer: Riccardo Pengo (Lyon) MSC: 11G05 11G40 PDFBibTeX XMLCite \textit{A. Burungale} and \textit{Y. Tian}, J. Number Theory 230, 161--195 (2022; Zbl 1484.11131) Full Text: DOI arXiv
Ehlen, Stephan; Guerzhoy, Pavel; Kane, Ben; Rolen, Larry Central \(L\)-values of elliptic curves and local polynomials. (English) Zbl 1484.11148 Proc. Lond. Math. Soc. (3) 120, No. 5, 742-769 (2020). Reviewer: Sajad Salami (Rio de Janeiro) MSC: 11G40 11F11 11F37 PDFBibTeX XMLCite \textit{S. Ehlen} et al., Proc. Lond. Math. Soc. (3) 120, No. 5, 742--769 (2020; Zbl 1484.11148) Full Text: DOI arXiv
Purkait, Soma Explicit application of Waldspurger’s theorem. (English) Zbl 1306.11037 LMS J. Comput. Math. 16, 216-245 (2013). Reviewer: Jeremy Lovejoy (Paris) MSC: 11F37 11F11 11F70 11G05 PDFBibTeX XMLCite \textit{S. Purkait}, LMS J. Comput. Math. 16, 216--245 (2013; Zbl 1306.11037) Full Text: DOI arXiv
Jones, Marvin; Rouse, Jeremy Solutions of the cubic Fermat equation in quadratic fields. (English) Zbl 1318.11074 Int. J. Number Theory 9, No. 6, 1579-1591 (2013). MSC: 11G05 11D41 11G40 11F37 PDFBibTeX XMLCite \textit{M. Jones} and \textit{J. Rouse}, Int. J. Number Theory 9, No. 6, 1579--1591 (2013; Zbl 1318.11074) Full Text: DOI arXiv
Achimescu, Sever The congruence number problem over real quadratic fields. (English) Zbl 1313.11124 Rom. J. Math. Comput. Sci. 2, No. 2, 11-16 (2012). MSC: 11G05 11F37 11R11 PDFBibTeX XMLCite \textit{S. Achimescu}, Rom. J. Math. Comput. Sci. 2, No. 2, 11--16 (2012; Zbl 1313.11124)
Hart, William B.; Tornaría, Gonzalo; Watkins, Mark Congruent number theta coefficients to \(10^{12}\). (English) Zbl 1260.11041 Hanrot, Guillaume (ed.) et al., Algorithmic number theory. 9th international symposium, ANTS-IX, Nancy, France, July 19–23, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-14517-9/pbk). Lecture Notes in Computer Science 6197, 186-200 (2010). MSC: 11G05 11G40 11F27 PDFBibTeX XMLCite \textit{W. B. Hart} et al., Lect. Notes Comput. Sci. 6197, 186--200 (2010; Zbl 1260.11041) Full Text: DOI
Bach, Eric; Ryan, Nathan C. Efficient verification of Tunnell’s criterion. (English) Zbl 1183.11015 Japan J. Ind. Appl. Math. 24, No. 3, 229-239 (2007). Reviewer: Fumio Hazama (Hatoyama) MSC: 11D25 11G05 11D45 11Y16 11E25 PDFBibTeX XMLCite \textit{E. Bach} and \textit{N. C. Ryan}, Japan J. Ind. Appl. Math. 24, No. 3, 229--239 (2007; Zbl 1183.11015) Full Text: DOI
Feng, Keqin; Xue, Yan Constructing new non-congruent numbers by graph theory. (English) Zbl 1126.11030 Kanemitsu, S. (ed.) et al., Number theory. Sailing on the sea of number theory. Proceedings of the 4th China-Japan seminar on number theory, Weihai, China, August 30–September 3, 2006. Hackensack, NJ: World Scientific (ISBN 978-981-270-810-6/hbk). Series on Number Theory and its Applications 2, 24-38 (2007). Reviewer: Patrick Ingram (Toronto) MSC: 11G05 PDFBibTeX XMLCite \textit{K. Feng} and \textit{Y. Xue}, Ser. Number Theory Appl. 2, 24--38 (2007; Zbl 1126.11030) Full Text: DOI
Li, Delang; Zhao, Chunlai Representation of integers by ternary quadratic forms. (English) Zbl 1035.11013 Acta Math. Sin., Engl. Ser. 17, No. 4, 715-720 (2001). Reviewer: Meinhard Peters (Münster) MSC: 11E41 11E25 11G05 PDFBibTeX XMLCite \textit{D. Li} and \textit{C. Zhao}, Acta Math. Sin., Engl. Ser. 17, No. 4, 715--720 (2001; Zbl 1035.11013) Full Text: DOI
Zhang, Shaowei A note on the Tate-Shafarevich group of some elliptic curves. (English) Zbl 0913.11026 Adv. Math., Beijing 26, No. 6, 551-555 (1997). Reviewer: L.Washington (College Park) MSC: 11G40 11G05 11R29 11R52 PDFBibTeX XMLCite \textit{S. Zhang}, Adv. Math., Beijing 26, No. 6, 551--555 (1997; Zbl 0913.11026)
Schettling, Christian On the behaviour of certain Hecke \(L\)-series in the center of the critical strip. (Über das Verhalten gewisser Hecke’scher \(L\)-Reihen im Zentrum des kritischen Streifens.) (German) Zbl 0908.11025 Bonner Mathematische Schriften. 297. Bonn: Univ. Bonn, Mathematisch-Naturwissenschaftliche Fakultät 1996, 116 S. (1997). Reviewer: J.G.M.Mars (Utrecht) MSC: 11F67 11F37 11F33 PDFBibTeX XMLCite \textit{C. Schettling}, Über das Verhalten gewisser Hecke'scher \(L\)-Reihen im Zentrum des kritischen Streifens. Bonn: Univ. Bonn, Mathematisch-Naturwissenschaftliche Fakultät 1996 (1997; Zbl 0908.11025)
Noda, Kazunari; Wada, Hideo All congruent numbers less than 10 000. (English) Zbl 0795.11012 Proc. Japan Acad., Ser. A 69, No. 6, 175-178 (1993). Reviewer: R.J.Stroeker (Rotterdam) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{K. Noda} and \textit{H. Wada}, Proc. Japan Acad., Ser. A 69, No. 6, 175--178 (1993; Zbl 0795.11012) Full Text: DOI
Monsky, Paul Mock Heegner points and congruent numbers. (English) Zbl 0705.14023 Math. Z. 204, No. 1, 45-67 (1990). Reviewer: Jürgen Wolfart (Frankfurt am Main) MSC: 11G05 11D25 11F03 11G18 PDFBibTeX XMLCite \textit{P. Monsky}, Math. Z. 204, No. 1, 45--67 (1990; Zbl 0705.14023) Full Text: DOI EuDML
Frey, Gerhard The rank of the solutions of \(Y^2=X^3\pm p^3\) over \(\mathbb Q\). (Der Rang der Lösungen von \(Y^2=X^3\pm p^3\) über \(\mathbb Q\).) (German) Zbl 0564.14011 Manuscr. Math. 48, 71-101 (1984). Reviewer: Hans-Georg Rück (Essen) MSC: 11G05 11D25 11G40 14G10 14G05 PDFBibTeX XMLCite \textit{G. Frey}, Manuscr. Math. 48, 71--101 (1984; Zbl 0564.14011) Full Text: DOI EuDML
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