In mathematics, the general notion of automorphic form is the extension to analytic functions, perhaps of several complex variables, of the theory of modular forms. It is in terms of a Lie group G, to generalise the groups SL(2, R) or PSL(2, R) of modular forms, and a discrete group, to generalise the modular group, or one of its congruence subgroups.
Read more about Automorphic Form: Formulation, History, Automorphic Representations, Poincaré On Psychology of Discovery and His Work On Automorphic Functions
Famous quotes containing the word form:
“Every idea is endowed of itself with immortal life, like a human being. All created form, even that which is created by man, is immortal. For form is independent of matter: molecules do not constitute form.”
—Charles Baudelaire (18211867)