arXiv:2211.13570 [math.NT]AbstractReferencesReviewsResources
Linear Combinations of Dirichlet Series Associated with the Thue-Morse Sequence
Published 2022-11-24Version 1
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.
Journal: INTEGERS 22 (2022), Article 98
Categories: math.NT
Keywords: dirichlet series, thue-morse sequence, linear combinations, riemann zeta function, dirichlet eta function
Tags: journal article
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