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Eisenstein series and decomposition theory over function fields

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References

  1. Atkin, A., Lehner, J.: Hecke operators onΓ 0(m). Math. Ann.185, 134–160 (1970)

    Google Scholar 

  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 1973

    Google Scholar 

  3. Drinfel'd, V.: Elliptic modules. Math. USSR Sbornik23, 561–592 (1974)

    Google Scholar 

  4. Gelbart, S., Jacquct, H.: Forms of GL(2) from the analytic point of view. AMS Summer Institute at Corvallis, Oregon (1977), preprint

  5. Harder, G.: Chevalley groups over function fields and automorphic forms. Ann. of Math.100, 249–306 (1974)

    Google Scholar 

  6. Harder, G.: Minkowskische Reduktionstheorie über Funktionenkörpern. Invent. Math.7, 33–54 (1969)

    Google Scholar 

  7. Harder, G., Li, W., Weisinger, J.: Dimensions of spaces of cusp forms over function fields (in preparation)

  8. Hecke, E.: Mathematische Werke. Göttingen: Vandenhoeck und Ruprecht 1959

    Google Scholar 

  9. Jacquet, H., Langlands, R.: Automorphic forms on GL(2). Lecture Notes in Mathematics 114. Berlin, Heidelberg, New York: Springer 1970

    Google Scholar 

  10. Jacquet, H., Shalika, J.: A non-vanishing theorem for Zeta functions of GL n . Invent. math.38, 1–16 (1976)

    Google Scholar 

  11. Kubota, T.: Elementary theory of Eisenstein series, Kudansha and John Wiley and Sons (1973)

  12. Langlands, R.: On the functional equation satisfied by Eisenstein series. Lecture Notes in Mathematics 544. Berlin, Heidelberg, New York: Springer 1976

    Google Scholar 

  13. Li, W.: Newforms and functional equations. Math. Ann.212, 285–315 (1975)

    Google Scholar 

  14. Li, W.: On modular functions in characteristicp (to appear in Amer. Math. Soc., Transactions)

  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 1970

    Google Scholar 

  16. Weil, A.: Dirichlet series and automorphic forms. Lecture Notes in Mathematics 189. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  17. Weil, A.: Basic number theory, 3rd edition. Berlin, Heidelberg, New York: Springer 1974

    Google Scholar 

  18. Weisinger, J.: Some result on classical Eisenstein series and modular forms over function fields. Harvard thesis (1977)

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Research supported in part by the NSF Grant No. MCS 73-08412

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Li, WC.W. Eisenstein series and decomposition theory over function fields. Math. Ann. 240, 115–139 (1979). https://doi.org/10.1007/BF01364628

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