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ModularFunctionsandModularForms - James Milne

modular functions and modular FormsJ. S. MilneAbstract. These are the notes for Math 678, University of Michigan, Fall 1990,exactly as they were handed out during the course except for some minor revisionsan sen dcomments an dcorrections to me at surfaces1 The general problem1 Riemann surfaces that are quotients affine algebraic curves3 Plane projective of modular curves and modular Preliminaries8 Continuous group surfaces: classical approach10 Riemann surfaces as ringed spaces11 Differential on compact Riemann genus surfaces as algebraic Elliptic modular Curves as Riemann Surfaces19c 1997 Milne . You may make one copy of these notes for your own personal S.

MODULAR FUNCTIONS AND MODULAR FORMS 1. Introduction Itis easy to define modular functions and forms, but lesseasy to say why they are important, especiallyto numbertheorists.

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