References
Andrianov, A. N.: On the Zeta-functions of the general linear groups. Congrès International des mathematiciens, pp. 273–276. Paris: Gauthier-Villars 1970
Gelfand, I. M., Kajdan, D. A.: Representations of the groupGL (n, K) whereK is a local field. Lie groups and their representations, Summer School of Group Representations, Budapest, pp. 95–118. New York: Halsted-Press 1971
Godement, R.: Analyse spectrale des fonctions modulaires. Séminaire Bourbaki, (1964/65), No. 278, 26 p.
Godement, R.: Introduction à la théorie de Langlands. Séminaire Bourbaki, (1966/67), No. 321, 30 p.
Godement, R., Jacquet, H.: Zeta functions of simple algebras. Springer Lecture Notes 260 (1972)
Harish-Chandra: Automorphic forms on Semi-Simple Lie Groups. Springer Lecture Notes 62 (1968)
Jacquet, H.: Automorphic forms onGL(2). II. Springer Lecture Notes 278 (1972)
Jacquet, H., Pyatetskii-Shapiro, I. I., Shalika, J.: Construction de formes automorphes pour le groupeGL(3). Comptes Rendus, Acad. Sci., Paris, Vol. 282, (1976), pp. 91–94
Langlands, R. P.: On the functional equations satisfied by Eisenstein Series, preprint
Langlands, R. P.: Problems in the theory of automorphic forms. Modern Analysis and its applications. Springer Lecture Notes 170 (1970), pp. 18–61
Langlands, R. P.: Euler products. Lecture notes, Yale University (1967)
Ogg, A. P.: On a convolution ofL-series. Inventiones Math.,7, 297–312 (1969)
Pyatetskii-Shapiro, I.: Euler subgroups, Lie groups and their representations. Summer School of Group Representations, Budapest, pp. 597–620. New York: Halsted-Press 1971
Rankin, R.: Contributions to the theory of Ramanujan's functions τ(n) and similar arithmetical functions. I. Proc. Camb. Phil. Soc.35, 351–356 (1939)
Shalika, J.: The multiplicity one theorem forGL n . Annals of math., Vol. 100, No. 1, 171–193 (1974)
Author information
Authors and Affiliations
Additional information
To R. Godement
Partially supported by N.S.F. Grant MPS75-08545
Partially supported by N.S.F. Grant MPS71-03321
Rights and permissions
About this article
Cite this article
Jacquet, H., Shalika, J.A. A non-vanishing theorem for zeta functions ofGL n . Invent Math 38, 1–16 (1976). https://doi.org/10.1007/BF01390166
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01390166