SOME LACUNARY POWER SERIES AND MAHLER'S U-m-NUMBERS IN p-ADIC DOMAIN

Creative Commons License

Caliskan F.

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, vol.75, no.4, pp.477-485, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 75 Issue: 4
  • Publication Date: 2022
  • Doi Number: 10.7546/crabs.2022.04.01
  • Journal Name: COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aquatic Science & Fisheries Abstracts (ASFA), BIOSIS, CAB Abstracts, zbMATH
  • Page Numbers: pp.477-485
  • Keywords: p-adic number, transcendental number, power series, APPROXIMATION
  • Istanbul University Affiliated: Yes

Abstract

In this paper, we consider some lacunar power series in Q(p), where p is a prime number. We obtain some results about lacunary power series with rational coefficients for U-m-number arguments in Q(p). 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 Q(p). Also, we find similar results for lacunary power series with p-adic algebraic coefficients.