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arXiv · 2001.07898

M\"obius orthogonality of sequences with maximal entropy

Michael Drmota·Christian Mauduit·Joël Rivat·Lukas Spiegelhofer
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Abstract

We prove that strongly $b$-multiplicative functions of modulus $1$ along squares are asymptotically orthogonal to the M\"obius function. This provides examples of sequences having maximal entropy and satisfying this property.

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Michael Drmota, Christian Mauduit, Joël Rivat, Lukas Spiegelhofer. 2020-01-22. M\"obius orthogonality of sequences with maximal entropy. https://arxiv.org/abs/2001.07898

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