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arXiv · 2005.08279

A Generalized Davenport Expansion

Alexander E Patkowski
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Abstract

We prove a new generalization of Davenport's Fourier expansion of the infinite series involving the fractional part function over arithmetic functions. A new Mellin transform related to the Riemann zeta function is also established.

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Alexander E Patkowski. 2020-05-17. A Generalized Davenport Expansion. https://doi.org/10.1017/s0013091521000468

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