New results on algebraic independence with Mahler's method

作者：Zorin Evgeniy^*

来源：Comptes Rendus Mathematique, 2011, 349(11-12): 607-610.

DOI：10.1016/j.crma.2011.05.012

We give some new results on algebraic independence in the frame of Mahler's method, including algebraic independence of values at transcendental points. We also give some new measures of algebraic independence. In particular, our results furnish for n >= 1 arbitrarily large new examples of families of members (theta(1) ..... theta(n)) is an element of R(n) normal in the sense of the definition formulated by G. Chudnovsky (1980) [2].

• 出版日期2011-6