Article PDF
Avoid common mistakes on your manuscript.
References
Atkin, A.O.L., Lehner, J.: Hecke operators on Γ0(m). Math. Ann.185, 134–160 (1970)
Cohen, H.: Sommes des carrês, fonctions L et formes modulaires. C.R. Acad. Sci. Paris277, 827–830 (1973)
Cohen, H.: Sums involving the values at negative integers of L-functions of quadratic characters. Math. Ann.217, 171–185 (1975)
Cohen, H.: Formes modulaires à une et deux variables. Thèse pour l'obtention du grade de docteur d'état ès sciences. Bordeaux 1976
Cohen, H.: A lifting of modular forms in one variable to Hilbert modular forms in two variables, modular functions of one variable. VI. In: Lecture Notes in Mathematics No. 627, pp. 174–196. Berlin, Heidelberg, New York: Springer 1976
Doi, K., Naganuma, H.: On the functional equation of certain Dirichlet series. Invent. Math.9, 1–14 (1969)
Hecke, E.: Mathematische Werke. Göttingen: Vandenhoeck u. Ruprecht 1970
Lang, S.: Introduction to modular forms. In: Grundlehren der Mathematischen Wissenschaften Vol. 222. Berlin, Heidelberg, New York: Springer 1976
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)
Shimura, G.: On modular forms of half-integral weight. Ann. of Math.97, 440–481 (1973)
Shintani, T.: On construction of holomorphic cusp forms of half-integral weight. Nagoya Math. J.58, 83–126 (1975)
Swinnerton-Dyer, H.P.F.: Onl-adic representations and congruences for coefficients of modular forms, modular functions of one variable. III. In: Lecture Notes in Mathematics No. 350, pp. 1–55. Berlin, Heidelberg, New York: Springer 1972
Zagier, D.: Modular forms associated to real quadratic fields. Invent. Math.30, 1–46 (1975)
Zagier, D.: On the values at negative integers of the zeta function of real quadratic fields. Enseignement Math. Ser. II.22, 55–95 (1976)
Zagier, D.: Modular forms whose Fourier coefficients involve zeta-functions of quadratic fields, modular functions of one variable. VI. In: Lecture Notes in Mathematics No. 627, pp. 105–169. Berlin, Heidelberg, New York: Springer 1977
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kohnen, W. Modular forms of half-integral weight on Γ0(4). Math. Ann. 248, 249–266 (1980). https://doi.org/10.1007/BF01420529
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01420529