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L-functions and division towers

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References

  1. Bloch, S.: Algebraic cycles and values ofL-functions. J. Reine Angew. Math.350, 94–108 (1984)

    Google Scholar 

  2. Bloch, S.: Algebraic cycles and values ofL-functions, II. Duke Math. J.52, 379–397 (1985)

    Google Scholar 

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

    Google Scholar 

  4. Coates, J.: Infinite descent on elliptic curves with complex multiplication In: Arithmetic and geometry, Vol. 1, Progress in Math. 35. Birkhäuser Boston 1983

    Google Scholar 

  5. Deligne, P.: Les constantes des équations fonctionelles des fonctionsL. In: Molecular functions of one variable (Lect. Notes Math., Vol. 349). Berlin Heidelberg New York: Springer 1973

    Google Scholar 

  6. Friedlander, J.B., Iwaniec, H.: Incomplete Kloosterman sums and a divisor problem (with an appendix by B.J. Birch and E.Bombieri). Ann. Math.121, 319–350 (1985)

    Google Scholar 

  7. Gelbart, S., Jacquet, H.: A relation between automorphic representations ofGL(2) andGL(3). Ann. Sci. Ec. Norm. Super., IV. Ser.11, 471–542 (1978)

    Google Scholar 

  8. Greenberg, R.: On the Birch and Swinnerton-Dyer conjecture. Invent. math.72, 241–265 (1983)

    Google Scholar 

  9. Greenberg, R.: On the critical values of HeckeL functions for imaginary quadratic fields Invent. math.79, 79–94 (1985)

    Google Scholar 

  10. Harder, G.: General aspects in the theory of modular symobls. In: Sém. Théorie des Nombres Paris 1981–1982, Progress in Math., Vol. 38. Boston: Birkhäuser 1983

    Google Scholar 

  11. Heath-Brown, D.R.: The divisor functiond 3 (n) in arithmetic progressions. Acta Arith.47, 29–56 (1986)

    Google Scholar 

  12. Hecke, E.: Eine neue Art von Zetafunktion und ihre Beziehungen zur Verteilung der Primzahlen. Math. Z.6, 11–51 (1920) (=Math. Werke, 249–289)

    Google Scholar 

  13. Hida, H.: Ap-adic measure attached to the zeta functions associated with two elliptic modular forms. I. Invent. Math.79, 159–195 (1985)

    Google Scholar 

  14. Hooley, C.: An asymptotic formula in the theory of numbers. Proc. London Math. Soc.7, 396–413 (1957)

    Google Scholar 

  15. Jacquet, H., Langlands, R.P.: Automorphic forms onGL(2). Lect. Notes Math., Vol. 114, Berlin, Heidelberg, New York: Springer 1970

    Google Scholar 

  16. Rohrlich, D.E.: OnL-functions of elliptic curves and cyclotomic towers. Invent. math.75, 409–423 (1984)

    Google Scholar 

  17. Rubin, K.: Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer. Invent. math.64, 455–470 (1981)

    Google Scholar 

  18. Shimura, G.: The special values of the zeta functions associated with cusp forms. Commun. Pure Appl. Math.29, 783–804 (1976)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ, USA

    David E. Rohrlich

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  1. David E. Rohrlich
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Research partially supported by a National Science Foundation grant

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Rohrlich, D.E. L-functions and division towers. Math. Ann. 281, 611–632 (1988). https://doi.org/10.1007/BF01456842

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