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Arithmetic fuchsian groups and the number of systoles

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References

  1. Z. Arad; M. Herzog (editors).Products of Conjugacy Classes in Groups. Lecture Notes 1112, Springer Berlin Heidelberg New York Tokyo (1985).

    MATH  Google Scholar 

  2. J. Conway; N. Sloane.Sphere packings, lattices and groups. Second ed. Springer Berlin Heidelberg New York Tokyo (1993).

    MATH  Google Scholar 

  3. M. Huxley.Conjugacy Classes in Congruence Subgroups. in:Automorphic forms and analytic number theory, Proc. Conf., Montréal 1989, ed. R. Murty; Montréal Publications CRM (1990), 65–88.

  4. S. Katok.Fuchsian Groups. University of Chicago Press Chicago London (1992).

    MATH  Google Scholar 

  5. R. Rankin.Modular forms and functions. Cambridge University Press London New York Melbourne (1977).

    MATH  Google Scholar 

  6. P. Schmutz.Riemann surfaces with shortest geodesic of maximal length. Geometric and Functional Analysis GAFA3 (1993), 564–631.

    Article  MATH  MathSciNet  Google Scholar 

  7. P. Schmutz.Congruence subgroups and maximal Riemann surfaces. The Journal of Geometric Analysis4 (1994), 207–218.

    MATH  MathSciNet  Google Scholar 

  8. B. Schoeneberg.Elliptic modular Functions. Springer Berlin Heidelberg New York (1974).

    MATH  Google Scholar 

  9. G. Shimura.Introduction of the arithmetic theory of automorphic functions. Iwanami Shoten Publishers and Princeton University Press (1971).

  10. M.F. Vignéras.Arithmétique des Algèbres de Quaternions. Lecture Notes 800, Springer Berlin Heidelberg New York (1980).

    MATH  Google Scholar 

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  1. Institut de Mathématiques, Université de Lausanne, CH-1015, Lausanne, Switzerland

    Paul Schmutz

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  1. Paul Schmutz
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Schmutz, P. Arithmetic fuchsian groups and the number of systoles. Math Z 223, 13–25 (1996). https://doi.org/10.1007/BF02621586

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  • DOI: https://doi.org/10.1007/BF02621586

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