p进Hurwitz-Lerch l函数的构造

IF 0.4 4区数学 Q4 MATHEMATICS

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2020-07-01 DOI:10.1007/s12188-020-00221-z

Selin Selen Özbek, Mehmet Cenkci

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引用次数: 0

摘要

利用Washington提供的一种方法，我们得到了p进Hurwitz-Lerch l函数的存在性。该函数是Kubota和Leopoldt的单变量p进l函数和Fox的双变量p进l函数的推广。我们还推导了广义阿波托尔-伯努利多项式的可除性，特别是建立了它们的kummer型同余。

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A construction of p-adic Hurwitz–Lerch L-function

We derive the existence of p-adic Hurwitz–Lerch L-function by means of a method provided by Washington. This function is a generalization of the one-variable p-adic L-function of Kubota and Leopoldt, and two-variable p-adic L-function of Fox. We also deduce divisibility properties of generalized Apostol–Bernoulli polynomials, in particular establish Kummer-type congruences for them.

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来源期刊

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The first issue of the "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" was published in the year 1921. This international mathematical journal has since then provided a forum for significant research contributions. The journal covers all central areas of pure mathematics, such as algebra, complex analysis and geometry, differential geometry and global analysis, graph theory and discrete mathematics, Lie theory, number theory, and algebraic topology.