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:
“The terrorist and the policeman both come from the same basket. Revolution, legalitycounter-moves in the same game; forms of idleness at bottom identical.”
—Joseph Conrad (18571924)
“Without metaphor the handling of general concepts such as culture and civilization becomes impossible, and that of disease and disorder is the obvious one for the case in point. Is not crisis itself a concept we owe to Hippocrates? In the social and cultural domain no metaphor is more apt than the pathological one.”
—Johan Huizinga (18721945)
“Belonging to a group can provide the child with a variety of resources that an individual friendship often cannota sense of collective participation, experience with organizational roles, and group support in the enterprise of growing up. Groups also pose for the child some of the most acute problems of social lifeof inclusion and exclusion, conformity and independence.”
—Zick Rubin (20th century)