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arXiv · 2211.13570

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

László Tóth
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Abstract

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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László Tóth. 2022-11-24. Linear Combinations of Dirichlet Series Associated with the Thue-Morse Sequence. https://arxiv.org/abs/2211.13570

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