Sharif University of Technology
Scientia Iranica
1026-3098
12
1
2005
01
01
On a Theorem of Ihara
2463
EN
A.
Rastegar
Department of Mathematics,Sharif University of Technology
Journal Article
2006
04
04
Let p be a prime number and let n be a positive integer prime to p. By an Ihara-result, one means the existence of an injection with torsion-free cokernel, from a full lattice, in the space of p-old modular forms, into a full lattice, in the space of all modular forms of level np. In this paper, Ihara-results are proven for genus two Siegel modular forms, Siegel-Jacobi forms and Hilbert modular forms. Ihara did the genus one case of elliptic modular forms [1]. A geometric formulation is proposed for the notion of
http://scientiairanica.sharif.edu/article_2463_0cf635cb77389ee21321f2d70badf604.pdf