Ramanujan's modular equations and Atkin-Lehner involutions

Israel Journal of Mathematics

Volumn 103, Issue , 1998, Pages 1-16

  Chan, Heng Huat ^a   Lang, Mong Lung ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032429340     PISSN: 00212172     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02762264     Document Type: Article

References (11)

1. B. C. Berndt, Ramanujan Notebooks Part III, Springer-Verlag, New York, 1991.
2. B. C. Berndt, Ramanujan Notebooks Part IV, Springer-Verlag, New York, 1994.
3. B. C. Berndt and H. H. Chan, Some values for the Rogers-Ramanujan continued fraction, Canadian Journal of Mathematics 47 (1995), 897-914.
4. B. C. Berndt, H. H. Chan and L.-C. Zhang, Ramanujan's class invariants, Kronecker's limit formula and modular equations, Transactions of the American Mathematical Society 349 (1997), 2125-2173.
5. B. C. Berndt, S. Bhargava and F. G. Garvan, Ramanujan's theories of elliptic functions to alternative bases, Transactions of the American Mathematical Society 347 (1995), 4163-4244.
6. K. Harada, Modular functions, Modular forms and Finite Groups, Lecture Notes at The Ohio State University, 1987.
7. 0(N), in Modular Function of One Variable V, Lecture Notes in Mathematics 601, Springer-Verlag, Berlin, 1977.
8. M. I. Knopp, Modular Functions in Analytic Number Theory, Chelsea, New York, 1993
9. T. Kondo, The automorphism group of Leech lattice and elliptic modular functions, Journal of the Mathematical Society of Japan 37 (1985), 337-362.
10. M. Newman, Construction and application of a class of modular functions II, Proceedings of the London Mathematical Society 9 (1959), 373-387.
11. S. Ramanujan, Notebooks (2 volumes), Tata Institute of Fundamental Research, Bombay, 1957.