Article
On Jordan Double Sums and Related Summatory Functions
Authors
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Abstract
We study the Jordan double sums
$$
\sum_{[d,\delta]\le N}
\frac{J_{\varepsilon}(d)\,J_{\varepsilon}(\delta)}
{[d,\delta]^{1+2\varepsilon}},
$$
which are connected with usual zeta approximating sums. Some other related summatory functions involving Jordan’s function are considered and estimated in this paper.
Keywords
generalized Jordan function, double Jordan sum, summatory function, Dirichlet.
Citation
Shi, S. & Weber, M. (2023). On jordan double sums and related summatory functions. Uniform Distribution Theory, 18(2), 60–80. https://doi.org/10.2478/UDT-2023-0014
S. Shi and M. Weber, “On jordan double sums and related summatory functions,” Uniform Distribution Theory, vol. 18, no. 2, pp. 60–80, 2023, doi: 10.2478/UDT-2023-0014.
Shi S, Weber M. On jordan double sums and related summatory functions. Uniform Distribution Theory. 2023;18(2):60–80. doi:10.2478/UDT-2023-0014.
Shi, S. and Weber, M. (2023), ‘On jordan double sums and related summatory functions’, Uniform Distribution Theory, 18(2), pp. 60–80. Available at: https://doi.org/10.2478/UDT-2023-0014.
Shi, Sanying, and Michel Weber. “On Jordan Double Sums and Related Summatory Functions.” Uniform Distribution Theory, vol. 18, no. 2, 2023, pp. 60–80. https://doi.org/10.2478/UDT-2023-0014.
Shi, Sanying, and Michel Weber. “On Jordan Double Sums and Related Summatory Functions.” Uniform Distribution Theory 18, no. 2 (2023): 60–80. https://doi.org/10.2478/UDT-2023-0014.
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Published by: Engineering Journals
