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arXiv:2211.13570 [math.NT]AbstractReferencesReviewsResources

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

László Tóth

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
Subjects: 11A63, 68R15, 11Y60, 11B85, 11M41
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