Mathematische Annalen

, Volume 240, Issue 2, pp 115–139 | Cite as

Eisenstein series and decomposition theory over function fields

  • Wen-Ch'ing Winnie Li
Article
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Keywords

Function Field Eisenstein Series Decomposition Theory 
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References

  1. 1.
    Atkin, A., Lehner, J.: Hecke operators onΓ 0(m). Math. Ann.185, 134–160 (1970)Google Scholar
  2. 2.
    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 1973Google Scholar
  3. 3.
    Drinfel'd, V.: Elliptic modules. Math. USSR Sbornik23, 561–592 (1974)Google Scholar
  4. 4.
    Gelbart, S., Jacquct, H.: Forms of GL(2) from the analytic point of view. AMS Summer Institute at Corvallis, Oregon (1977), preprintGoogle Scholar
  5. 5.
    Harder, G.: Chevalley groups over function fields and automorphic forms. Ann. of Math.100, 249–306 (1974)Google Scholar
  6. 6.
    Harder, G.: Minkowskische Reduktionstheorie über Funktionenkörpern. Invent. Math.7, 33–54 (1969)Google Scholar
  7. 7.
    Harder, G., Li, W., Weisinger, J.: Dimensions of spaces of cusp forms over function fields (in preparation)Google Scholar
  8. 8.
    Hecke, E.: Mathematische Werke. Göttingen: Vandenhoeck und Ruprecht 1959Google Scholar
  9. 9.
    Jacquet, H., Langlands, R.: Automorphic forms on GL(2). Lecture Notes in Mathematics 114. Berlin, Heidelberg, New York: Springer 1970Google Scholar
  10. 10.
    Jacquet, H., Shalika, J.: A non-vanishing theorem for Zeta functions of GLn. Invent. math.38, 1–16 (1976)Google Scholar
  11. 11.
    Kubota, T.: Elementary theory of Eisenstein series, Kudansha and John Wiley and Sons (1973)Google Scholar
  12. 12.
    Langlands, R.: On the functional equation satisfied by Eisenstein series. Lecture Notes in Mathematics 544. Berlin, Heidelberg, New York: Springer 1976Google Scholar
  13. 13.
    Li, W.: Newforms and functional equations. Math. Ann.212, 285–315 (1975)Google Scholar
  14. 14.
    Li, W.: On modular functions in characteristicp (to appear in Amer. Math. Soc., Transactions)Google Scholar
  15. 15.
    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 1970Google Scholar
  16. 16.
    Weil, A.: Dirichlet series and automorphic forms. Lecture Notes in Mathematics 189. Berlin, Heidelberg, New York: Springer 1971Google Scholar
  17. 17.
    Weil, A.: Basic number theory, 3rd edition. Berlin, Heidelberg, New York: Springer 1974Google Scholar
  18. 18.
    Weisinger, J.: Some result on classical Eisenstein series and modular forms over function fields. Harvard thesis (1977)Google Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Wen-Ch'ing Winnie Li
    • 1
  1. 1.Department of MathematicsHarvard UniversityCambridgeUSA

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