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L-series, modular imbeddings, and signatures

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References

  1. Freitag, E.: Lokale und globale Invarianten der Hilbertschen Modulgruppe. Invent. Math.17, 106–134 (1972).

    Google Scholar 

  2. Hammond, W. F.: The modular groups of Hilbert and Siegel. Amer. J. Math.88, 497–516 (1966).

    Google Scholar 

  3. Hammond, W. F.: The Hilbert modular surface of a real quadratic field. Math. Ann.200, 25–45 (1973).

    Google Scholar 

  4. Hirzebruch, F.: The signature theorem: reminiscences and recreation. Prospects in Mathematics, Ann. Math. Stud., no. 70, Princeton, 1971.

  5. Hirzebruch, F.: The Hilbert modular group, resolution of the singularities at the cusps and related problems. Séminaire Bourbaki, exp. 396 (1971).

  6. Hirzebruch, F.: The Hilbert modular group and some algebraic surfaces, International Symposium in Number Theory, Moscow, 1971 (to appear).

  7. Hirzebruch, F.: Hilbert modular surfaces. IMU-lectures, Tokyo, 1972 (to appear in L'Enseignement Mathématique).

  8. Hirzebruch, F., Zagier, D.: Class numbers, continued fractions and the Hilbert modular group (in preparation).

  9. Meyer, C.: Die Berechnung der Klassenzahl abelscher Körper über quadratischen Zahlkörpern. Berlin 1957.

  10. Meyer, C.: Über die Bildung von elementar-arithmetischen Klasseninvarianten in reell-quadratischen Zahlkörpern. Algebraische Zahlentheorie, Oberwolfach, pp. 165–215. Mannheim: Bibliogr. Institut 1966.

    Google Scholar 

  11. Prestel, A.: Die elliptischen Fixpunkte der Hilbertschen Modulgruppen. Math. Ann.177, 181–209 (1968).

    Google Scholar 

  12. Rademacher, H., Grosswald, E.: Dedekind Sums. Math. Assoc. of America, 1972.

  13. Shimizu, H.: On discontinuous groups operating on the product of the upper half planes. Ann. of Math.77, 33–71 (1963).

    Google Scholar 

  14. Siegel, C. L.: Lectures on advanced analytic number theory. Tata Inst., Bombay, 1961 (re-issued 1965).

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The first author was supported in part by U.S. NSF grant SD GU 3171.

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Hammond, W.F., Hirzebruch, F. L-series, modular imbeddings, and signatures. Math. Ann. 204, 263–270 (1973). https://doi.org/10.1007/BF01354577

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