References
Atkin, A., Lehner, J.: Hecke operators onΓ 0(m). Math. Ann.185, 134–160 (1970)
Deligne, P.: Formes modulaires et représentations de GL(2). In: Modular functions of one variable II. Lecture Notes in Mathematics 349. Berlin, Heidelberg, New York: Springer 1973
Drinfel'd, V.: Elliptic modules. Math. USSR Sbornik23, 561–592 (1974)
Gelbart, S., Jacquct, H.: Forms of GL(2) from the analytic point of view. AMS Summer Institute at Corvallis, Oregon (1977), preprint
Harder, G.: Chevalley groups over function fields and automorphic forms. Ann. of Math.100, 249–306 (1974)
Harder, G.: Minkowskische Reduktionstheorie über Funktionenkörpern. Invent. Math.7, 33–54 (1969)
Harder, G., Li, W., Weisinger, J.: Dimensions of spaces of cusp forms over function fields (in preparation)
Hecke, E.: Mathematische Werke. Göttingen: Vandenhoeck und Ruprecht 1959
Jacquet, H., Langlands, R.: Automorphic forms on GL(2). Lecture Notes in Mathematics 114. Berlin, Heidelberg, New York: Springer 1970
Jacquet, H., Shalika, J.: A non-vanishing theorem for Zeta functions of GL n . Invent. math.38, 1–16 (1976)
Kubota, T.: Elementary theory of Eisenstein series, Kudansha and John Wiley and Sons (1973)
Langlands, R.: On the functional equation satisfied by Eisenstein series. Lecture Notes in Mathematics 544. Berlin, Heidelberg, New York: Springer 1976
Li, W.: Newforms and functional equations. Math. Ann.212, 285–315 (1975)
Li, W.: On modular functions in characteristicp (to appear in Amer. Math. Soc., Transactions)
Weil, A.: On the analogue of the modular group in characteristicp. In: Functional analysis and related fields, pp. 211–223, F. Browder, ed. Berlin, Heidelberg, New York: Springer 1970
Weil, A.: Dirichlet series and automorphic forms. Lecture Notes in Mathematics 189. Berlin, Heidelberg, New York: Springer 1971
Weil, A.: Basic number theory, 3rd edition. Berlin, Heidelberg, New York: Springer 1974
Weisinger, J.: Some result on classical Eisenstein series and modular forms over function fields. Harvard thesis (1977)
Author information
Authors and Affiliations
Additional information
Research supported in part by the NSF Grant No. MCS 73-08412
Rights and permissions
About this article
Cite this article
Li, WC.W. Eisenstein series and decomposition theory over function fields. Math. Ann. 240, 115–139 (1979). https://doi.org/10.1007/BF01364628
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01364628