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

被引：0
|
作者：
Patkowski, Alexander E. [1 ]
机构：
[1] 1390 Bumps River Rd, Centerville, MA 02632 USA
来源：
RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA | 2023年 / 14卷 / 01期
关键词：
Davenport expansions; Riemann zeta function; von Man-goldt function;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：59 / 65
页数：7
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