Certain aspects of holomorphic function theory on some genus-zero arithmetic groups
Certain aspects of holomorphic function theory on some genus-zero arithmetic groups
There are a number of fundamental results in the study of holomorphic function theory associated to the discrete group $\operatorname{PSL}(2,\mathbb{Z})$ , including the following statements: the ring of holomorphic modular forms is generated by the holomorphic Eisenstein series of weights four and six, denoted by $E_{4}$ and $E_{6}$ ; the …