Kohnen, Winfried Elliptic curves and automorphic forms. (English) Zbl 1027.11503 Son, Jin-Woo (ed.) et al., Number theory and related topics. Proceedings of the conferences held in Masan, October 11, 1994 and at Pusan National University, Pusan, Republic of Korea, December 20-21, 1994. Seoul: Pyungsan Institute for Mathematical Sciences, 19-28 (1995). The author provides a survey on recent results in the theory of elliptic curves related to the Birch and Swinnerton-Dyer conjecture.For the entire collection see [Zbl 0989.00032]. MSC: 11G40 \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture 11F37 Forms of half-integer weight; nonholomorphic modular forms 11F41 Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces Keywords:Gross-Zagier formula; Heegner points; height pairing; L-series Citations:Zbl 0608.14019; Zbl 0641.14013 PDFBibTeX XMLCite \textit{W. Kohnen}, in: Number theory and related topics. Proceedings of the conferences held in Masan, October 11, 1994 and at Pusan National University, Pusan, Republic of Korea, December 20--21, 1994. Seoul: Pyungsan Institute for Mathematical Sciences. 19--28 (1995; Zbl 1027.11503)