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Modular forms associated to closed geodesics and arithmetic applications
Author(s):
Svetlana
Katok
Journal:
Bull. Amer. Math. Soc.
11
(1984),
177-179.
MSC (1980):
Primary 10D12, 10D07, 30F35
MathSciNet review:
741734
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References |
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Additional information
References:
- 1.
- D. Hejhal, Monodromy group and Poincaré series, Bull. Amer. Math. Soc. 84 (1978), 339-376. MR 492237
- 2.
- W. Kohnen, Beziehungen zwischen Modulformen halbganzen Gewichts und Modulformen ganzen Gewichts, Bonner Math. Schriften, 131, Bonn, 1981. MR 633060
- 3.
- W. Kohnen and D. Zagier, Modular forms with rational periods, Proc. Durham Sympos. on Modular Forms, Ellis Horwood., 1984. MR 803368
- 4.
- A. N. Livčic, Some homology properties of U-systems, Mat. Zametki 10 (1971), 555-564; English transl., Math. Notes 10 (1971), 758-763. MR 293669
- 5.
- H. Petersson, Zur analytischen Theorie der Grenzkreisgruppen. V, Math. Z. 44 (1939), 127-155. MR 1545759
- 6.
- H. Petersson, Einheitliche Begründung der Vollständig keitssätze für die Poincaréschen Reihen, Abh. Math. Sem. Univ. Hamburg 14 (1941), 22-60. MR 5769
- 7.
- G. Shimura, Introduction to the arithmetic theory of automorphic functions, Iwanami Shoten, Tokyo and Princeton Univ. Press, Princeton, N. J., 1971. MR 314766
- 8.
- S. Wolpert, The Fenchel-Nielsen deformation, Ann. of Math. (2) 115 (1982), 501-528. MR 657237
- 9.
- D. Zagier, Modular forms associated to real quadratic fields, Invent. Math. 30 (1975), 1-46. MR 382174
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Additional Information:
DOI:
10.1090/S0273-0979-1984-15257-1
PII:
S 0273-0979(1984)15257-1
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