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Line 37: == Modular function == A modular function is a function that is invariant with respect to the modular group, but without the condition that ~~{{math\|''f'' (''z'')}}~~it be [[Holomorphic function\|holomorphic]] in the upper half-plane (among other requirements). Instead, modular functions are [[Meromorphic function\|meromorphic]]: they are holomorphic on the complement of a set of isolated points, which are poles of the function. == Modular forms for SL(2, Z) ==

Modular form: Difference between revisions