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Newforms and functional equations

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References

  1. Atkin, A., Lehner, J.: Hecke operators on Γ0(m). Math. Ann.185, 134–160 (1970)

    Google Scholar 

  2. Casselman, W.: On some results of Atkin and Lehner. Math. Ann.201, 301–314 (1973)

    Google Scholar 

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

    Google Scholar 

  4. Jacquet, H.: Automorphic forms on GL (2), Part II. Springer Lecture Notes, No.278 (1972)

  5. Mazur, B.: Courbes elliptiques et symboles modulaires. Séminaire Bourbaki, 24e année, 1971/72; n0 414

  6. Miyake, T.: On automorphic forms on GL2 and Hecke operators. Annals of Math.94, 174–189 (1971)

    Google Scholar 

  7. Ogg, A.: On the eigenvalues of Hecke operators. Math. Ann.179, 101–108 (1969)

    Google Scholar 

  8. Ogg, A.: On a convolution ofL-series. Inventiones math.7, 297–312 (1969)

    Google Scholar 

  9. Petersson, H.: Konstruktion der sämtlichen Lösungen einer Riemannschen Funktionalgleichung durch Dirichlet-Reihen mit Eulerscher Produktentwicklung, I, II, III. Math. Ann.116, 401–412 (1939), and117, 39–64 and 277–300 (1940–1941)

    Google Scholar 

  10. Rankin, R.: Contributions to the theory of Ramanujan's function τ(n) and similar arithmetical functions. II. Proc. Camb. Phil. Soc.35, 357–372 (1939)

    Google Scholar 

  11. Selberg, A.: On the estimation of Fourier coefficients of modular forms. Proc. Symposium Pure Math. (Amer. Math. Soc.) VIII, 1–15 (1965)

    Google Scholar 

  12. Serre, J.: Formes modulaires et fonctions zêtap-adiques. Summer School on Modular Functions, Antwerp (1972). Springer Lecture Notes, No.350, 191–268, Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

  13. Serre, J.: Facteurs locaux des fonctions zêta des variétés algébriques. Séminaire Delange-Pisot-Poitou (Théorie des Nombres), 11e année, 1969/70, n0 19

  14. Shimura, G.: On modular forms of half integral weight. Annals of Math.97, 440–481 (1973)

    Google Scholar 

  15. Shimura, G.: Introduction to the arithmetic theory of automorphic functions. Math. Soc. Japan11 (1971), Princeton Univ. Press

  16. Weil, A.: Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen. Math. Ann.168, 149–156 (1967)

    Google Scholar 

  17. Weil, A.: Dirichlet series and automorphic forms. Springer Lecture Notes, No.189. Berlin-Heidelberg-New York: Springer 1971

    Google Scholar 

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  1. Department of Mathematics, Harvard University, 02138, Cambridge, Mass., USA

    Wen-Ch'ing Winnie Li

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  1. Wen-Ch'ing Winnie Li
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Li, WC.W. Newforms and functional equations. Math. Ann. 212, 285–315 (1975). https://doi.org/10.1007/BF01344466

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