<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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 <italic>p</italic>-adic numbers.</p></abstract>

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 p-adic numbers.

On Mahler’s <italic>p</italic>-adic <italic>S</italic>-, <italic>T</italic> -, and <italic>U</italic>-numbers

Faculty of Science, Department of Mathematics

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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...

关于马勒的第页-adic的复数S公司-,T型-、和U型-数字

在线发布:2020年4月9日

页面范围： 81 - 94

收到:2019年3月16日

认可的:2019年7月15日

内政部： https://doi.org/10.2478/auom-2020-0005

关键词
马勒的adic数分类，-adic-数字，-adic-数字，-adic-数字，超越测度

©2020 Yann Bugeaud等人，Sciendo出版

本作品根据Creative Commons Attribution-NonCommercial-NoDerivatives 3.0许可证授权。