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ModularFunctionsandModularForms - James Milne

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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 surfaces1The general problem1Riemann surfaces that are quotients affine algebraic curves3Plane projective of modular curves and modular Preliminaries8Continuous group surfaces: classical approach10Riemann surfaces as ringed spaces11Differential 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.

  Form, Introduction, Modular, Functions, Modular functions and modular forms, Modularfunctionsandmodularforms

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