About this article
Published Online: Apr 09, 2020
Page range: 81 - 94
Received: Mar 16, 2019
Accepted: Jul 15, 2019
DOI: https://doi.org/10.2478/auom-2020-0005
Keywords
© 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