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 6a and A 68 4.4 Product to sum estimates 71 4.5 Moving targets and the defect relation 73 Bibliography 77 vn
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