论文标题

与Thue-Morse序列相关的Dirichlet系列的线性组合

Linear Combinations of Dirichlet Series Associated with the Thue-Morse Sequence

论文作者

Tóth, László

论文摘要

在本文中,我们研究了Dirichlet序列的总和,其系数是Thue-Morse序列和其变化的术语。我们发现,使用基本方法(包括Riemann Zeta函数和DIRICHLET ETA函数),发现了此类总和的封闭形式表达式。

In this paper we study sums of Dirichlet series whose coefficients are terms of the Thue-Morse sequence and variations thereof. We find closed-form expressions for such sums in terms of known constants and functions including the Riemann zeta function and the Dirichlet eta function using elementary methods.

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