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Introduction to Algebraic Independence Theory

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Cover of 'Introduction to Algebraic Independence Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Θ(τ, z ) and Transcendence
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    Chapter 2 Mahler’s conjecture and other transcendence Results
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    Chapter 3 Algebraic independence for values of Ramanujan Functions
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    Chapter 4 Some remarks on proofs of algebraic independence
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    Chapter 5 Elimination multihomogene
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    Chapter 6 Diophantine geometry
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    Chapter 7 Géométrie diophantienne multiprojective
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    Chapter 8 Criteria for algebraic independence
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    Chapter 9 Upper bounds for (geometric) Hilbert functions
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    Chapter 10 Multiplicity estimates for solutions of algebraic differential equations
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    Chapter 11 Zero Estimates on Commutative Algebraic Groups
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    Chapter 12 Measures of algebraic independence for Mahler functions
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    Chapter 13 Algebraic Independence in Algebraic Groups. Part 1: Small Transcendence Degrees
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    Chapter 14 Algebraic Independence in Algebraic Groups. Part II: Large Transcendence Degrees
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    Chapter 15 Some metric results in Transcendental Numbers Theory
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    Chapter 16 The Hilbert Nullstellensatz, Inequalities for Polynomials, and Algebraic Independence
Attention for Chapter 9: Upper bounds for (geometric) Hilbert functions
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