Modular Forms For More General Groups
The functional equation, i.e., the behavior of f with respect to z ↦ (az + b)/(cz + d) can be relaxed by requiring it only for matrices in smaller groups.
Read more about this topic: Modular Form
Famous quotes containing the words forms, general and/or groups:
“Year chases year, decay pursues decay,
Still drops some joy from withring life away;
New forms arise, and diffrent views engage,”
—Samuel Johnson (17091784)
“You have lived longer than I have and perhaps may have formed a different judgment on better grounds; but my observations do not enable me to say I think integrity the characteristic of wealth. In general I believe the decisions of the people, in a body, will be more honest and more disinterested than those of wealthy men.”
—Thomas Jefferson (17431826)
“Trees appeared in groups and singly, revolving coolly and blandly, displaying the latest fashions. The blue dampness of a ravine. A memory of love, disguised as a meadow. Wispy cloudsthe greyhounds of heaven.”
—Vladimir Nabokov (18991977)