Nonvanishing theorems for L-functions of modular forms and their derivatives

Atkin, O., Li, W.: Twists of newforms and pseudoeigenvalues ofW-operators. Invent. Math.48, 221–243 (1978) Bump, D.: The Rankin-Selberg method: a survey. To appear in the proceedings of the Selberg Symposium, Oslo (1987) Bump, D., Friedberg, S., Hoffstein, J.: Eisenstein series on the metaplectic group and nonvanishing theorems for automorphicL-functions and their derivatives. Ann. Math.131, 53–127 (1990) Bump, D., Friedberg, S., Hoffstein, J.: A nonvanishing theorem for derivatives of automorphicL-functions with applications to elliptic curves. Bull. Am. Math. Soc. (to appear) (1989) Eichler, M., Zagier, D.: The theory of Jacobi forms. Boston: Birkhäuser 1985 Goldfeld, D., Hoffstein, J.: Eisenstein series of 1/2-integral weight and the mean value of real DirichletL-series. Invent. Math.80, 185–208 (1985) Gross, D., Zagier, D.: Heegner points and derivatives ofL-series. Invent. Math.84, 225–320 (1986) Gradshteyn, I., Ryzhik, I.: Table of integrals, series and products. New York: Academic Press 1980 Jacquet, H.: Fonctions de Whittaker associcés aux groupes de Chevalley. Bull. Soc. Math. France95, 243–309 (1967) Jacquet, H.: On the nonvanishing of someL-functions. Proc. Ind. Acad. Sci.97, 117–155 (1987) Jacquet, H., Piatetski-Shapiro, I., Shalika, J.: Automorphic forms onGL(3), I, II. Ann. Math.109, 169–258 (1979) Kohnen, W.: Newforms of half-integral weight. J. Reine Angew. Math.333, 32–72 (1982) Kolyvagin, V.: On groups of Mordell-Weil and Shafarevich-Tate and Weil elliptic curves. Preprint, in Russian (1988) Maass, H.: Siegel's Modular Forms and Dirichlet Series. Berlin-Heidelberg. New York: (Lecture Notes in Mathematics, (216). Springer 1971 Murty, M.R., Murty, V.K.: Mean values of derivatives of modularL-series. Preprint 1989 Novodvorsky, M.: AutomorphicL-functions for the symplectic groupGSp 4. In: Automorphic Forms, Representations andL-functions. AMS Proc. Symp. Pure Math.,33, 2, 87–95 (1979) Ogg, A.: On a convolution ofL-series. Invent. Math.7, 297–312 (1969) Shimura, G.: Introduction to the arithmetic theory of automorphic forms. Iwanami Shoten and Princeton University Press, 1971 Waldspurger, J.-L.: Correspondences de Shimura. In: Proceedings of the International Congress of Mathematicians, Warzawa (1983) Waldspurger, J.-L.: Correspondences de Shimura et Quaternions. Preprint 1984 Whittaker, E., Watson, G.: A course of Modern Analysis, fourth edition. Cambridge, 1927 Ziegler, C.: Jacobi forms of higher degree. Abh. Math. Sem. Univ. Hamburg59, 191–224 (1989)