Details

Alexander E. Patkowski

On Davenport expansions, Popov's formula and Fine's query

Pages: 59-65
Received: 19 April 2022
Accepted in revised form: 27 July 2022
Mathematics Subject Classification: 11L20, 11M06.
Keywords: Davenport expansions; Riemann zeta function; von Mangoldt function.

Abstract: We establish an explicit connection between a Davenport expansion and the Popov sum. Asymptotic analysis follows as a result of these formulas. New solutions to a query of N. J. Fine are offered, and a proof of Davenport expansions is detailed.

References

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