Automorphic Form

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:

    “The Same, the Same: friend and foe are of one stuff; the ploughman, the plough, and the furrow, are of one stuff; and the stuff is such, and so much, that the variations of form are unimportant.”
    —Ralph Waldo Emerson (1803–1882)