关于马勒的p进S, T和u数

IF 0.8 4区数学 Q2 MATHEMATICS Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2020-03-01 DOI:10.2478/auom-2020-0005

Y. Bugeaud, Gülcan Kekeç

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引用次数: 0

摘要

摘要:本文研究了𝕈p中一些具有有理系数的虚幂级数。我们证明了在一定条件下，这些级数在非零有理数参数处取超越值，并根据马勒的p进数分类确定了这些超越值的类别。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Mahler’s p-adic S-, T -, and U-numbers

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.

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来源期刊

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is founded by Mirela Stefanescu and Silviu Sburlan in 1993 and is devoted to pure and applied mathematics. Published by Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania.

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