Mathematics – Number Theory
Scientific paper
2011-03-21
Comptes rendus - Math\'ematique 349 (2011), pp. 607-610
Mathematics
Number Theory
6 pages
Scientific paper
10.1016/j.crma.2011.05.012
We give some new results on algebraic independence within Mahler's method, including algebraic independence of values at transcendental points. We also give some new measures of algebraic independence for infinite series of numbers. In particular, our results furnishes, for $n\geq 1$ arbitrarily large, new examples of sets $(\theta_1,...,\theta_n)\in\mrr^n$ normal in the sense of definition formulated by Grigory Chudnovsky (1980).
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