Systoles of arithmetic surfaces and the Markoff spectrum

Mathematische Annalen

Volumn 305, Issue 1, 1996, Pages 191-203

  Schmutz, Paul ^a  

^a UNIVERSITY OF LAUSANNE   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030526408     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01444218     Document Type: Article

References (15)

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4. H. Cohn: Representation of Markoff's minimal forms by geodesics on a perforated torus. Acta Arith. 18 (1971), 125-136
5. T. Cusick, M. Flahive: The Markoff and Lagrange Spectra. Math. Surveys, vol. 30, AMS Providence (1989)
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7. G. Frobenius: Ueber die Markoffschen Zahlen. Gesammelte Abhandlungen, Bd. 3, Springer, Berlin Heidelberg New York (1968), 598-627
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9. J. Lehner, M. Sheingorn: Simple closed geodesics on Γ(3) arise from the Markoff spectrum. Bulletin AMS 11 (1984), 359-362
10. A. Markoff: Sur les formes binaires indéfinies. Math. Annalen 15 (1879), 381-406
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12. G. Mathews: Theory of numbers. Second ed. Chelsea Publishing Company, New York (1961)
13. A. Pollington, W. Moran: Number theory with an emphasis on the Markoff spectrum. Marcel Dekker New York Basel Hongkong (1993)
14. T. Schmidt, M. Sheingorn: On the infinite volume Hecke surfaces. Compositio Math. 95 (1995), 247-262
15. P. Schmutz: Arithmetic Fuchsian groups and the number of systoles. To appear in Math. ZV.