@article{bwmeta1.element.bwnjournal-article-aav69i4p367bwm,
author = {Hisashi Kojima},
title = {Shimura correspondence of Maass wave forms of half integral weight},
journal = {Acta Arithmetica},
volume = {69},
year = {1995},
pages = {367-385},
zbl = {0815.11025},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav69i4p367bwm}
}
Hisashi Kojima. Shimura correspondence of Maass wave forms of half integral weight. Acta Arithmetica, Tome 69 (1995) pp. 367-385. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav69i4p367bwm/
[000] [1] T. Asai, On the Doi-Naganuma lifting associated with imaginary quadratic fields, Nagoya Math. J. 71 (1978), 149-167. | Zbl 0357.10013
[001] [2] K. Doi and T. Miyake, Automorphic Forms and Number Theory, Kinokuniya Book Store, 1974 (in Japanese). | Zbl 0466.10012
[002] [3] S. Friedberg, On the imaginary quadratic Doi-Naganuma lifting of modular forms of arbitrary level, Nagoya Math. J. 92 (1983), 1-20. | Zbl 0506.10022
[003] [4] S. Friedberg, On Maass wave forms and the imaginary quadratic Doi-Naganuma lifting, Math. Ann. 263 (1983), 483-508. | Zbl 0497.10019
[004] [5] S. Gelbert and I. Piatetski-Shapiro, On Shimura's correspondence for modular forms of half-integral weight, in: Proc. Internat. Colloq. Automorphic Forms, Representation Theory and Arithmetic, 1979, Tata Institute, Springer, 1981, 1-39.
[005] [6] D. A. Hejhal, Some Dirichlet series with coefficients related to periods of automorphic eigenforms, Proc. Japan Acad. 58 (1982), 413-417. | Zbl 0516.10018
[006] [7] S. Niwa, Modular forms of half integral weight and the integral of certain theta-functions, Nagoya Math. J. 56 (1974), 147-161. | Zbl 0303.10027
[007] [8] T. Oda, On modular forms associated with indefinite quadratic forms of signature (2,n-2), Math. Ann. 231 (1978), 97-144. | Zbl 0346.10013
[008] [9] S. Rallis and G. Schiffmann, On a relation between S͠L cusp forms and cusp forms on tube domains associated to orthogonal groups, Trans. Amer. Math. Soc. 263 (1981), 1-58. | Zbl 0465.10024
[009] [10] P. Sarnak, Additive number theory and Maass forms, Lecture Notes in Math. 1052, Springer, Berlin, 1984, 286-309. | Zbl 0534.10021
[010] [11] G. Shimura, On modular forms of half integral weight, Ann. of Math. 97 (1973), 440-481. | Zbl 0266.10022
[011] [12] T. Shintani, On construction of holomorphic cusp forms of half integral weight, Nagoya Math. J. 58 (1975), 83-126. | Zbl 0316.10016
[012] [13] J.-L. Waldspurger, Correspondence de Shimura, J. Math. Pures Appl. 59 (1980), 1-133.