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arXiv · 1708.00115

On Arithmetic Series involving the fractional part function

Alexander E. Patkowski
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Abstract

We present new relationships between the work of H. Davenport and A. I. Popov. A new general formula involving the Von Mangoldt function is presented, as well as a criteria for the Riemann Hypothesis.

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Alexander E. Patkowski. 2017-08-01. On Arithmetic Series involving the fractional part function. https://doi.org/10.21099/tkbjm%2F20224601145

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