On differential equations satisfied by modular forms

Mathematische Zeitschrift

Volumn 246, Issue 1-2, 2004, Pages 1-19

  Yang, Yifan ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0742323818     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00209-003-0573-4     Document Type: Article

References (11)

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2. Beukers, F., Peters, C.A.M.: A family of K3 surfaces and ζ (3). J. Reine Angew. Math. 351, 42-54 (1984)
3. Borwein, J.M., Borwein, P.B.: Pi and the AGM. A study in analytic number theory and computational complexity, Reprint of the 1987 original, A Wiley-Interscience Publication, John Wiley & Sons Inc., New York, 1998
4. Chan, H.H.: Private communication.
5. Ford, L.R.: Automorphic functions. 2nd edition, Chelsea, New York, 1951
6. Lian, B.H., Yau, S.-T.: Mirror Maps, Modular Relations and Hypergeometric Series I. Preprint, http://xxx.lanl.gov/abs/hep-th/9507151
7. Lian, B.H., Yau, S.-T.: Arithmetic properties of mirror map and quantum coupling. Comm. Math. Phys. 176, 163-191 (1996)
8. Ramanujan, S.: Modular equations and approximations to π. Quart. J. Math. Oxford Ser. (2) 45, 350-372 (1914)
9. Sato, T.: Ramanujan-Like series for 1/π using Apéry numbers. (in preparation)
10. Stiller, P.: Special values of Dirichlet series, monodromy, and the periods of automorphic forms. Mem. Am. Math. Soc. 49 (299), iv+116 (1984)
11. van der Poorten, A.: A proof that Euler missed... Apéry's proof of the irrationality of ζ(3). Math. Intelligencer 1, 195-203, (1978/79). An informal report