Title | Introduction to Algebraic Independence Theory [electronic resource] / edited by Yuri V. Nesterenko, Patrice Philippon |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 2001 |
Connect to | http://dx.doi.org/10.1007/b76882 |
Descript | XVI, 260 p. online resource |
?(?, z) and Transcendence -- Mahlerโs conjecture and other transcendence Results -- Algebraic independence for values of Ramanujan Functions -- Some remarks on proofs of algebraic independence -- Elimination multihomogene -- Diophantine geometry -- Gรฉomรฉtrie diophantienne multiprojective -- Criteria for algebraic independence -- Upper bounds for (geometric) Hilbert functions -- Multiplicity estimates for solutions of algebraic differential equations -- Zero Estimates on Commutative Algebraic Groups -- Measures of algebraic independence for Mahler functions -- Algebraic Independence in Algebraic Groups. Part 1: Small Transcendence Degrees -- Algebraic Independence in Algebraic Groups. Part II: Large Transcendence Degrees -- Some metric results in Transcendental Numbers Theory -- The Hilbert Nullstellensatz, Inequalities for Polynomials, and Algebraic Independence