Article PDF
Avoid common mistakes on your manuscript.
References
Cohen, H.: Sums involving the values at negative integers ofL functions of quadratic characters. Math. Ann.217, 277–285 (1975)
Goldfeld, D., Viola, C.: Mean values ofL-functions associated to elliptic, Fermat and other curves at the center of the critical strip. J. of Number Theory11, 309–320 (1979)
Gross, B., Zagier, D.: On the critical values of HeckeL-series. Soc. Math. de France, Mémoire No 2, 49–54 (1980)
Kohnen, W.: Modular forms of half-integral weight onΓ0(4). Math. Ann.248, 249–266 (1980)
Kohnen, W.: Beziehungen zwischen Modulformen halbganzen Gewichts und Modulformen ganzen Gewichts. Bonner Mathematische Schriften 131, Bonn 1981
Manin, Y.: Periods of parabolic forms andp-adic Hecke series. Math. USSR Sbornik21, 371–393 (1973)
Niwa, S.: Modular forms of half-integral weight and the integral of certain theta-functions. Nagoya Math. J.56, 147–161 (1974)
Niwa, S.: On Shimura's trace formula. Nagoya Math. J.66, 183–202 (1977)
Oda, T.: On modular forms associated with indefinite quadratic forms of signature (2,n−2). Math. Ann.231, 97–144 (1977)
Rallis, S., Schiffmann, G.: Automorphic forms constructed from the Weil representation: holomorphic case. Amer. J. of Math.100, 1049–1122 (1978)
Rankin, R.A.: The scalar product of modular forms. Proc. Lond. Math. Soc.2, 198–217 (1972)
Razar, M.: Dirichlet series and Eichler cohomology. To appear in Trans. AMS
Shimura, G.: Sur les intégrales attachées aux formes automorphes. J. Math. Soc. Japan11, 291–311 (1959)
Shimura, G.: On modular forms of half-integral weight. Ann. of Math.97, 440–481 (1973)
Shimura, G.: The special values of the zeta functions associated with cusp forms. Comm. pure and appl. math.29, 783–804 (1976)
Shimura, G.: On the periods of modular forms. Math. Ann.229, 211–221 (1977)
Shintani, T.: On construction of holomorphic cusp forms of half-integral weight. Nagoya Math. J.58, 83–126 (1975)
Vignéras, M.-F.: Séries thêta des formes quadratiques indéfinies. In: Modular Functions of One Variable VI, Springer Lecture Notes 627, pp. 227–239. Berlin-Heidelberg-New York: Springer-Verlag 1977
Vignéras, M.-F.: Valeur au centre de symétrie des fonctionsL associées aux formes modulaires. Séminaire Delange-Pisot-Poitou, 1980
Waldspurger, J.L.: Correspondances de Shimura et Shintani. J. Math. pures et appl.59, 1–133 (1980)
Waldspurger, J.L.: Sur les coefficients de Fourier des formes modulaires de poids demi-entier. To appear in J. Math. pures et appl.
Zagier, D.: Modular forms associated to real quadratic fields. Inv. Math.30, 1–46 (1975)
Zagier, D.: Modular forms whose Fourier coefficients involve zeta-functions of quadratic fields. In: Modular Forms of One Variable VI, Springer Lecture Notes 627, pp. 105–169. Berlin-Heidelberg-New York: Springer-Verlag 1977
Zagier, D.: Eisenstein series and the Riemann zeta function. To appear in Proceedings of the International Colloquium on Automorphic Forms, Bombay 1979
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kohnen, W., Zagier, D. Values ofL-series of modular forms at the center of the critical strip. Invent Math 64, 175–198 (1981). https://doi.org/10.1007/BF01389166
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01389166