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math.NT2017
On Arithmetic Series involving the fractional part function
Alexander E. Patkowski
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…
math.NT2017★ 3 cited
On Popov's formula involving the Von Mangoldt function
Alexander E Patkowski
We offer a generalization of a formula of Popov involving the Von Mangoldt function. Some commentary on its relation to other results in analytic number theory is mentioned as well…