RAMANUJANS MODULAR EQUATIONS AND ATKIN-LEHNER INVOLUTIONS

Authors
CHAN HH LANG ML
Citation
Hh. Chan et Ml. Lang, RAMANUJANS MODULAR EQUATIONS AND ATKIN-LEHNER INVOLUTIONS, Israel Journal of Mathematics, 103, 1998, pp. 1-16
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
Journal title
Israel Journal of Mathematics → ACNP
ISSN journal
00212172
Volume
103
Year of publication
1998
Pages
1 - 16
Database
ISI
SICI code
0021-2172(1998)103:<1:RMEAAI>2.0.ZU;2-C
Abstract
In this paper, we explain the existence of certain modular equations d iscovered by S. Ramanujan via function field theory. We will prove som e of these modular equations and indicate how new equations analogous to those found in Ramanujan's notebooks can be constructed.