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

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arxiv 2211.13570 v1 pith:2QK6HXDV submitted 2022-11-24 math.NT

László Tóth This is my paper · ORCID
classification math.NT
keywords dirichletfunctionsequenceseriessumstermsthue-morseassociated
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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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  1. Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing

    quant-ph 2025-01 conditional novelty 2.0 of 10

    The PTM logical states are the even and odd parity superposition states, so the paper's error correction and noise-resistance results reduce to standard parity-code facts.

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