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
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