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Publicado en línea: 09 abr 2020
Páginas: 81 - 94
Recibido: 16 mar 2019
Aceptado: 15 jul 2019
DOI: https://doi.org/10.2478/auom-2020-0005
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© 2020 Yann Bugeaud et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
We consider some lacunary power series with rational coefficients in p. We show that under certain conditions these series take transcendental values at non-zero rational number arguments, and we determine the classes of these transcendental values with respect to Mahler’s classification of