Metaplectic forms
Publications Mathématiques de l'IHÉS, Tome 59 (1984), pp. 35-142.
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     title = {Metaplectic forms},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {35--142},
     publisher = {Institut des Hautes \'Etudes Scientifiques},
     volume = {59},
     year = {1984},
     mrnumber = {743816},
     zbl = {0559.10026},
     language = {en},
     url = {http://archive.numdam.org/item/PMIHES_1984__59__35_0/}
}
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Kazhdan, David A.; Patterson, S. J. Metaplectic forms. Publications Mathématiques de l'IHÉS, Tome 59 (1984), pp. 35-142. http://archive.numdam.org/item/PMIHES_1984__59__35_0/

[1] H. Aritürk, On the composition series of principal series representations of a 3-fold covering group of SL(2,k), Nagoya Math. J., 77 (1980), 177-196. | MR | Zbl

[2] H. Bass, J. Milnor and J.-P. Serre, Solution of the congruence subgroup problem for SLn (n≥3) and Sp2n (n≥2), Publ. Math. IHES, 33 (1967), 59-137. | Numdam | MR | Zbl

[3] I. N. Bernstein and A. V. Zelevinski, Induced representations of reductive p-adic groups, Ann. scient. Ec. Norm. Sup., 10 (1977), 441-472. | Numdam | MR | Zbl

[4] A. Borel and Harish-Chandra, Arithmetic subgroups of algebraic groups, Annals of Math., 75 (1962), 485-532. | MR | Zbl

[5] P. Deligne, Notes on metaplectic groups (Unpublished).

[6] P. Deligne, Sommes de Gauss cubiques et revêtements de SL(2). Sém. Bourbaki, Juin 1979, exposé n° 539 ; Springer Lecture Notes, 770 (1980), 244-277. | Numdam | MR | Zbl

[7] Y. Flicker, Automorphic forms on covering groups of GL(2), Inv. Math., 57 (1980), 119-182. | MR | Zbl

[8] S. Gelbart, Weil's representation and the spectrum of the metaplectic group, Springer Lecture Notes, 530 (1976). | MR | Zbl

[9] S. Gelbart, R. Howe and I. I. Piatetskii-Shapiro, Existence and uniqueness of Whittaker models for the metaplectic group, Israeli Math. J., 34 (1979), 21-37. | Zbl

[10] S. Gelbart and I. I. Platetskii-Shapiro, On Shimura's correspondence for modular forms of half-integral weight, Proceedings, Colloquium on Automorphic Forms, Representation Theory and Arithmetic, Bombay, 1979, 1-39. | Zbl

[11] S. Gelbart and I. I. Platetskii-Shapiro, Distinguished representations and modular forms of half-integral weight, Inv. Math., 59 (1980), 145-188. | MR | Zbl

[12] I. M. Gelfand, M. I. Graev and I. I. Piatetskii-Shapiro, Representation Theory and Automorphic Functions, Nauka (1966) (Russian), Saunders (1969) (English). | Zbl

[13] I. M. Gelfand and D. A. Kazhdan, Representations of the group GL(n,K) where K is a local field, Lie Groups, Budapest, Ed. I. M. Gelfand, 1974.

[14] I. M. Gelfand and M. I. Naimark, Unitary Representations of the Classical Groups, Trudy Mat. Inst. Steklov, 36, 1950 (Russian), Akademie-Verlag Berlin, 1958 (German).

[15] G. Harder, Minkowski'sche Reduktionstheorie über Funktionenkörper, Inv. Math., 7 (1969), 107-149. | MR | Zbl

[16] G. Harder, Chevalley groups over function fields and automorphic forms, Annals of Math., 100 (1974), 249-306. | MR | Zbl

[17] Harish-Chandra and Van Dijk, Harmonic Analysis on Reductive p-adic Groups, Springer Lecture Notes, 162 (1970). | MR | Zbl

[18] Harish-Chandra, Admissible invariant distributions on reductive p-adic groups, Princeton, Preprint, IAS. | Zbl

[19] Harish-Chandra, A submersion principle and its applications, Geometry and Analysis, Papers dedicated to the Memory of V. K. Patodi, Springer-Verlag, 1981, 95-102. | MR | Zbl

[20] E. Hecke, Gesammelte Werke, Vandenhoeck u. Ruprecht, 1970.

[21] R. Howe, The Fourier transform and germs of characters (case of GLn over a p-adic field), Math. Ann., 208 (1974), 305-322. | MR | Zbl

[22] H. Jacquet, Fonctions de Whittaker associées aux groupes de Chevalley, Bull. Soc. Math., France, 95 (1967), 243-309. | Numdam | MR | Zbl

[23] H. Jacquet and R. P. Langlands, Automorphic Forms on GL(2), Springer Lecture Notes, 114 (1970). | MR | Zbl

[24] M. Kneser, Strong Approximation, Proc. Symp. Pure Math., IX (1966), 187-196. | MR | Zbl

[25] T. Kubota, Topological covering of SL(2) over a local field, J. Math. Soc. Japan, 19 (1967), 114-121. | MR | Zbl

[26] T. Kubota, Automorphic Forms and the Reciprocity Law in a Number Field, Kyoto Univ., 1969. | Zbl

[27] T. Kubota, Some results concerning reciprocity and functional analysis, Actes du Congr. Int. Math à Nice, 1970, t. I, 395-399. | MR | Zbl

[28] T. Kubota, Some number-theoretical results on real-analytic automorphic forms, Several Complex Variables II, Maryland, 1970, Springer Lecture Notes, 185 (1971), 87-96. | MR | Zbl

[29] R. P. Langlands, On the Functional Equations satisfied by Eisenstein Series, Springer Lecture Notes, 544 (1976). | MR | Zbl

[30] R. P. Langlands, The volume of the fundamental domain for some arithmetical subgroups, Proc. Symp. Pure Math., IX (1966), 143-148. | MR | Zbl

[31] R. P. Langlands, On the Classification of Irreductible Representations of Real Algebraic Groups, Lecture Notes, Princeton, IAS. | Zbl

[32] H. Matsumoto, Sur les sous-groupes arithmétiques des groupes semi-simples déployés, Ann. scient., Ec. Norm. Sup., (1969), 1-62. | Numdam | MR | Zbl

[33] J. Milnor, An introduction to algebraic K-theory, Annals of Mathematics Studies, 72, 1971. | MR | Zbl

[34] C. Moen, Ph. D. Thesis, Univ. of Chicago, 1979.

[35] C. C. Moore, Group extensions of p-adic and adelic linear groups, Publ. Math. IHES, 35 (1968), 157-222. | Numdam | MR | Zbl

[36] L. E. Morris, Eisenstein series for reductive groups over global function fields, Canad. Math. J., 34 (1982), 91-168. | MR | Zbl

[37] S. J. Patterson, A cubic analogue of the theta series, J. für die r.u.a. Math., 296 (1977), 125-161, 217-220. | MR | Zbl

[38] S. J. Patterson, The constant term of the cubic theta series, J. für die r.u.a. Math., 336 (1982), 185-190. | MR | Zbl

[39] S. J. Patterson, On the distribution of general Gauss sums at prime arguments, Recent Progress in Analytic Number Theory, Vol. 2, Academic Press, 1981. | Zbl

[40] I. I. Piatetskii-Shapiro, Euler subgroups, Lie Groups, Budapest, Ed. I. M. Gelfand, 1974.

[41] F. Rodier, Modèle de Whittaker et charactères de représentations. Non-Commutative Harmonic Analysis, Proceedings, 1976, Springer Lecture Notes, 466 (1977), 117-195. | Zbl

[42] J.-P. Serre and H. Stark, Modular forms of weight 1/2, Modular Forms in One Varible VI, Bonn, 1976, Springer Lecture Notes, 627 (1977), 27-67. | MR | Zbl

[43] F. Shahidi, Functional equation satisfied by certain L-series, Comp. Math., 37 (1978), 171-207. | Numdam | MR | Zbl

[44] F. Shahidi, Whittaker models for real groups, Duke Math. J., 47 (1980), 99-125. | MR | Zbl

[45] J. Shalika, The multiplicity one theorem for GL(n), Annals of Math., 100 (1974), 171-193. | MR | Zbl

[46] A. J. Silberger, Introduction to Harmonic Analysis on Reductive p-adic Groups, Princeton Math. Notes, 23, 1979. | MR | Zbl

[47] R. Steinberg, Lectures on Chevalley Groups, Lectures Notes, Yale Math. Dept., 1968. | MR

[48] A. Weil, L'intégration dans les groupes topologiques et ses applications, Hermann, 1940. | JFM | MR | Zbl

[49] A. Weil, Sur certains groupes d'opérateurs unitaires, Acta Math., 111 (1964), 143-211. | MR | Zbl

[50] A. Weil, Basic Number Theory, Springer, 1967. | MR | Zbl