TY - JOUR
AU - Çalışkan, Fatma
PY - 2022/05/02
Y2 - 2024/02/22
TI - Some Lacunary Power Series and Mahler’s Um-numbers in p-adic Domain
JF - Proceedings of the Bulgarian Academy of Sciences
JA - C. R. Acad. Bulg. Sci.
VL - 75
IS - 4
SE - Mathematics
DO - 10.7546/CRABS.2022.04.01
UR - https://proceedings.bas.bg/index.php/cr/article/view/56
SP - 477-485
AB - <p>In this paper, we consider some lacunar power series in <em>Q<sub>p</sub></em>, where <em>p</em> is a prime number. We obtain some results about lacunary power series with rational coefficients for <em>U<sub>m</sub></em>-number arguments in <em>Q<sub>p</sub></em>. We determined whether the values of the considered lacunar power series belong to a certain field of algebraic numbers or to the set of transcendental numbers in <em>Q<sub>p</sub></em>. Also, we find similar results for lacunary power series with <em>p</em>-adic algebraic coefficients.</p>
ER -