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

被引：1

作者：

Caliskan, Fatma ^{[1
]}

机构：

[1] Istanbul Univ, Fac Sci, Dept Math, TR-34134 Istanbul, Turkey

来源：

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2022年 / 75卷 / 04期

关键词：

p-adic number; transcendental number; power series; APPROXIMATION;

D O I：

10.7546/CRABS.2022.04.01

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：477 / 485

页数：9

共 5 条

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Can, Busra
Kekec, Gulcan
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2024, 67 (01): : 79 - 89
[2] On the p-adic Leopoldt transform of a power series
Angles, Bruno
ACTA ARITHMETICA, 2008, 134 (04) : 349 - 367
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Vladimirov, VS
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Laohakosol, Vichian
Kanasri, Narakorn Rompurk
ACTA ARITHMETICA, 2007, 130 (04) : 389 - 402
[5] COMPUTERISED ALGEBRA USED TO CALCULATE Xn COST AND SOME COSTS FROM CONVERSIONS OF P-BASE SYSTEM WITH REFERENCES OF P-ADIC NUMBERS FROM Zp AND Qp
Muresan, C. A.
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2006, 68 (03): : 33 - 40

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