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References
Bass, H., Milnor, J., Serre, J.-P.: Solutions of the congruence subgroup problem forSL n (n≧3) andSp 2n (n≧2). Publ. Math. I.H.E.S.33, 59–137 (1967)
Bump, D.: The Rankin-Selberg method: a survey. In: Number theory, trace formulas and discrete groups: a symposium in honor of Atle Selberg. New York London: Academic Press 1989
Bump, D., Friedberg, S., Hoffstein, J.: On Waldspurger's theorem. In: Proceedings of the conference on automorphic forms and analytic number theory. Montreal: Centre des recherches mathématiques pp. 25–36, 1990
Bump, D., Friedberg, S., Hoffstein, J.:p-adic Whittaker functions on the metaplectic group. Duke Math. J. (in press)
Bump, D., Friedberg, S., Hoffstein, J.: The Kubota symbol forSp(4,Q[i]). Nagoya Math. J.119, 173–188 (1990)
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., Hoffstein, J.: Some Euler products associated with cubic metaplectic forms onGL(3). Duke Math. J.53, 1047–1072 (1986)
Bump, D., Hoffstein, J.: On Shimura's correspondence. Duke Math. J.55, 661–691 (1987)
Friedberg, S.: Theta series correspondences and modular forms for number fields. In: Modular Forms. Chichester: Horwood, 75–86, 1984
Gelbart, S., Piatetski-Shapiro, I.: On Shimura's correspondence for modular forms of half-integral weight. In: Representation theory and arithmetic. Berlin Heidelberg New York: Springer 1981
Kubota, T.: Ein arithmetischer Satz über eine Matrizengruppe. J. Reine Angew. Math.222, 55–57 (1966)
Murase, A.:L-functions attached to Jacobi forms of degreen. I. J. Reine Angew. Math.401, 122–156 (1989)
Niwa, S.: Modular forms of half integral weight and the integral of certain theta-functions. Nagoya Math. J.56, 147–161 (1974)
Novodvorsky, M.: AutomorphicL-functions for the symplectic groupGSp 4. In: Automorphic forms, representations, andL-functions. AMS Proc. Symp. Pure Math.33, part 2 (1979)
Patterson, S.: A cubic analogue of the theta series. I. J. Reine Angew. Math.296, 125–161 (1977)
Savin, G.: Local Shimura correspondence. Math. Ann.280, 185–190 (1988)
Shimura, G.: On modular forms of half-integral weight. Ann. Math.97, 440–481 (1973)
Shintani, T.: On construction of holomorphic cusp forms of half integral weight. Nagoya Math. J.58, 83–126 (1975)
Soudry, D.: TheL and γ factors for generic representations ofGSp(4, k)×GL(2, k) over a local nonarchimedean field. Duke Math. J.51, 355–394 (1984)
Stark, H.: On modular forms fromL-functions in number theory. Handwritten notes 1982
Stark, H.: On the transformation formula for the symplectic theta function and applications. J. Fac. Sci. Univ. Tokyo, Sect. I A29, 1–12 (1982)
Weil, A.: Sur certains groups d'opérateurs unitaires. Acta Math.111, 143–211 (1964)
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Friedberg, S., Wong, ST. On the Shimura correspondence forGSp(4). Math. Ann. 290, 183–207 (1991). https://doi.org/10.1007/BF01459242
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DOI: https://doi.org/10.1007/BF01459242