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Abstract viii Notation ix
 

Summary: Contents
Abstract viii
Notation ix
Introduction 1
1 3
1.1 Parabolic manifolds and the Ricci functions . . . . . . . . . . . . . . 3
1.2 Jacobian sections for complex manifolds . . . . . . . . . . . . . . . . 12
1.3 Preparations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
2 17
2.1 Lemma of the logarithmic derivative on parabolic manifolds . . . . . 17
3 45
3.1 Fields and vector spaces of meromorphic maps . . . . . . . . . . . . 45
3.2 Steinmetz map and automorphisms of Z(p) . . . . . . . . . . . . . . 52
4 57
4.1 Important lemmata . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
4.2 Main identity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
4.3 Functions # # and # . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68
4.4 Product to sum estimates . . . . . . . . . . . . . . . . . . . . . . . . 71
4.5 Moving targets and the defect relation . . . . . . . . . . . . . . . . . 73
Bibliography 76

  

Source: Ashline, George - Department of Mathematics, Saint Michaels College

 

Collections: Mathematics