References
J. H. Bruinier, Modulformen halbganzen Gewichts und Beziehungen zu Dirichletreihen.diploma thesis, University of Heidelberg (1997).
D. Bump, S. Friedberg andJ. Hoffstein, Nonvanishing theorems for L-functions of modular forms and their derivatives.Invent. Math. 102 (1990), 543–618.
B. A. Cipra, On the Niwa-Shintani Theta-Kernel Lifting of modular forms.Nagoya Math. J. 91(1983), 49–117.
S. Friedberg andJ. Hoffstein, Non-vanishing theorems for automorphicL- functions on GL(2).Annals of Math. 142 (1995), 385–423.
W. Kohnen, A simple remark on eigenvalues of Hecke operators on Siegel modular forms.Abh. Math. Sem. Univ. Hamburg 57 (1987), 33–36.
—, Fourier coefficients of modular forms of half integral weight.Math. Ann. 271 (1985), 237–268.
W. Kohnen andD. Zagier, Values of L-series of modular forms at the center of the critical strip.Invent. Math. 64 (1981), 173–198.
M. R. Murty andV. K. Murty, Mean values of derivatives of modular L-series.Annals of Math. 133 (1991), 447–475.
S. Niwa, Modular forms of half-integral weight and the integral of certain theta-functions.Nagoya Math. J. 56 (1975), 147–161.
J.-P. Serre andH. M. Stark, Modular forms of weight 1/2. In:Modular Functions of One Variable VI, Lecture Notes in Math., Springer627 (1977), 27–67.
G. Shimura, On modular forms of half integral weight.Annals of Math. 97 (1973), 440–481.
J. Sturm, Theta Series of Weight 3/2.J. of Number Th. 14 (1982), 353–361.
M.-F. Vignéras, Facteurs gamma et équations fonctionelles. In:Modular Functions of One Variable VI, Lecture Notes in Math., Springer627 (1977), 79–103.
J.-L. Waldspurger, Sur les coefficients de Fourier des formes modulaires de poids demi-entier.J. Math. Pures et Appl. 60 (1981), 375–484.
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Bruinier, J.H. On a Theorem of Vignéras. Abh.Math.Semin.Univ.Hambg. 68, 163–168 (1998). https://doi.org/10.1007/BF02942560
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DOI: https://doi.org/10.1007/BF02942560