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Volumn 84, Issue 1, 1996, Pages 199-215

Arithmetic groups and the length spectrum of Riemann surfaces

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EID: 0001308434     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-96-08407-0     Document Type: Article
Times cited : (22)

References (15)
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    • Borel, A.1    Harish-Chandra2
  • 2
    • 0003285996 scopus 로고
    • Geometry and spectra of compact Riemann surfaces
    • Birkhäuser, Boston
    • P. BUSER, Geometry and Spectra of Compact Riemann Surfaces, Progr. Math. 106, Birkhäuser, Boston, 1992.
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  • 3
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    • Zur analytischen theorie der hyperbolischer raumformen und bewegungsgruppen, I
    • H. HUBER, Zur analytischen Theorie der hyperbolischer Raumformen und Bewegungsgruppen, I, Math. Ann. 138 (1959), 1-26; II, Math. Ann. 142 (1961), 385-398.
    • (1959) Math. Ann. , vol.138 , pp. 1-26
    • Huber, H.1
  • 4
    • 0001560689 scopus 로고
    • Zur analytischen theorie der hyperbolischer raumformen und bewegungsgruppen, II
    • H. HUBER, Zur analytischen Theorie der hyperbolischer Raumformen und Bewegungsgruppen, I, Math. Ann. 138 (1959), 1-26; II, Math. Ann. 142 (1961), 385-398.
    • (1961) Math. Ann. , vol.142 , pp. 385-398
  • 5
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    • Fuchsian groups
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    • (1992) Chicago Lectures in Math.
    • Katok, S.1
  • 6
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    • Number variance for arithmetic hyperbolic surfaces
    • W. LUO AND P. SARNAK, Number variance for arithmetic hyperbolic surfaces, Comm. Math. Phys. 161 (1994), 419-432.
    • (1994) Comm. Math. Phys. , vol.161 , pp. 419-432
    • Luo, W.1    Sarnak, P.2
  • 7
    • 0003849748 scopus 로고
    • Noneuclidean tesselations and their groups
    • Academic Press, New York
    • W. MAGNUS, Noneuclidean Tesselations and Their Groups, Pure Appl. Math. 61, Academic Press, New York, 1974.
    • (1974) Pure Appl. Math. , vol.61
    • Magnus, W.1
  • 8
    • 0000659640 scopus 로고
    • Spectral geometry and scattering theory for certain complete surfaces of finite volume
    • W. MÜLLER, Spectral geometry and scattering theory for certain complete surfaces of finite volume, Invent. Math. 109 (1992), 265-305.
    • (1992) Invent. Math. , vol.109 , pp. 265-305
    • Müller, W.1
  • 10
    • 0001140563 scopus 로고
    • Congruence subgroups and maximal Riemann surfaces
    • P. SCHMUTZ, Congruence subgroups and maximal Riemann surfaces, J. Geom. Anal. 4 (1994), 207-218.
    • (1994) J. Geom. Anal. , vol.4 , pp. 207-218
    • Schmutz, P.1
  • 11
    • 0001533076 scopus 로고
    • Riemann surfaces with shortest geodesic of maximal length
    • _, Riemann surfaces with shortest geodesic of maximal length, Geom. Funct. Anal. 3 (1993), 564-631.
    • (1993) Geom. Funct. Anal. , vol.3 , pp. 564-631
  • 12
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    • Arithmetic triangle groups
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  • 13
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    • A characterization of arithmetic Fuchsian groups
    • _, A characterization of arithmetic Fuchsian groups, J. Math. Soc. Japan 27 (1975), 600-612.
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  • 14
    • 4043150580 scopus 로고
    • Arithmétique des algèbres de quaternions
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    • M. F. VIGNÉRAS, Arithmétique des algèbres de quaternions, Lecture Notes in Math. 800, Springer-Verlag, Berlin, 1980.
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    • Vignéras, M.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.