On the Arithmetic Behavior of Liouville Numbers Under Rational Maps

Author:

Chaves Ana Paula,Marques Diego,Trojovský Pavel

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference20 articles.

1. Alniaçik, K.: On the subclasses $$U_m$$ in Mahler’s classification of the transcendental numbers. İstanb. Univ. Sci. Fac. J. Math. Phys. Astronom. 44, 39–82 (1972)

2. Alniaçik, K.: Representation of real numbers as sums of $$U_2$$-numbers. Acta Arith. 55, 301–310 (1990)

3. Bombieri, E.: Sull’approssimazione di numeri algebrici mediante numeri algebrici. Boll. Un. Mat. Ital. 13, 351–354 (1958)

4. Bugeaud, Y.: Approximation by Algebraic Numbers, Cambridge Tracts in Mathematics, vol. 160. Cambridge University Press, Cambridge (2004)

5. Chaves, A.P., Marques, D.: An Explicit family of $$U_m$$-numbers. Elem. Math. 69, 18–22 (2014)

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1. On polynomial representation by U-numbers;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2024-01-29

2. On Mahler's Classification of Formal Power Series Over a Finite Field;Mathematica Slovaca;2022-02-01

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