This is a preview of subscription content, log in via an institution to check access.
References
Bass, H., Milnor, J., Serre, J.-P.: Solution of the congruence subgroup problem forSL n n≧3) andSp 2n (n≧2). Publ. Math. Inst. Hautes Etud. Sci.33, 59–137 (1967); Erratum, ibid. Bass, H., Milnor, J., Serre, J.-P.: Solution of the congruence subgroup problem forSL n n≧3) andSp 2n (n≧2). Publ. Math. Inst. Hautes Etud. Sci.44, 241–244 (1975)
Bump, D.: Automorphic forms onGL (3, ℝ). Lect. Notes Math.1083 (1984)
Bump, D., Friedberg, S., Goldfeld, D.: Kloosterman sums and Poincaré series forSL (3,ℤ) (to appear)
Bump, D., Friedberg, S., Hoffstein, J.: Some cubic exponential sums (to appear)
Friedberg, S.: The Fourier expansion onGL(r) congruence subgroups. Appendix to “Analytic Number Theory onGL (n)” by Dorian Goldfeld (to appear in the Procedings of the Stillwater Conference on Analytic Number Theory)
Goldfeld, D., Hoffstein, J.: Eisenstein series of half-integral weight and the mean value of real DirichletL-series. Invent. math.80, 185–208 (1985)
Gradshteyn, I., Ryzhik, I.: Tables of integrals, series and products. Corrected and enlarged edition. New York: Academic Press (1980)
Imai, K., Terras, A.: The Fourier expansions of Eisenstein series forGL (3,ℤ). Trans. Am. Math. Soc.273 (1982)
Jacquet, H.: Fonctions de Whittaker associées aux groupes de Chevalley. Bull. Soc. Math. Fr.95, 243–309 (1967)
Jacquet, H., Gelbart, S.: A relation between automorphic representations ofGL (2) andGL (3). Ann. Sci. Ec. Norm. Super. (4)11, 471–542 (1978)
Kazhdan, D., Patterson, S.: Metaplectic forms. Publ. Math. Inst. Hautes Etud. Sci.59 (1984)
Kubota, T.: Some results concerning reciprocity law and real analytic automorphic functions. Proc. Symp. Pure Math.20, 382–395 (1969)
Kubota, T.: On automorphic forms and the reciprocity law in a number field. Tokyo: Kinokuniya Book Store Co. 1969
Maass, H.: Konstruktion ganzer Modulformen halbzahliger Dimension. Abh. Math. Semin. Univ. Hamb.12, 133–162 (1937)
Patterson, S.: A cubic analogue of the theta series. J. Reine Angew. Math.296 (1977)
Piatetski-Shapiro, I.: Euler subgroups, in Lie groups and their representation theory, pp. 597–620. New York: John Wiley and Sons 1975
Proskurin, I.: Automorphic functions and the homomorphism of Bass-Milnor-Serre I, II (in Russian). Zapiski Naucnik Seminarov LOMI129, pp. 85–126 and 127–163
Shalika, J.: The multiplicity one theorem forGL(n). Ann. Math.100, 171–193 (1974)
Shimura, G.: On modular forms of half-integral weight. Ann. Math.297 (1973)
Shimura, G.: On the holomorphy of certain Dirichlet series. Proc. Lond. Math. Soc.31, 79–98 (1975)
Waldspurger, J.-L.: Sur les coefficients de Fourier des formes modulaires de poids demi-entier. J. Math. Pures Appl. (9) 60, No. 4, 375–484 (1981)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bump, D., Hoffstein, J. Cubic metaplectic forms onGL (3). Invent Math 84, 481–505 (1986). https://doi.org/10.1007/BF01388743
Issue Date:
DOI: https://doi.org/10.1007/BF01388743