Acknowledgement
This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 2021R1F1A1051093).
References
- A. Dujella, Number Theory, Skolska knjiga, Zagreb, 2021.
- H.M. Farkas, On an arithmetical function, Contemp. Math. 382 (2005), 121-130. https://doi.org/10.1090/conm/382/07052
- J.W.L. Glaisher, On certain sums of products of quantities depending upon the divisors of a number, Mess. Math. 15 (1885), 1-20.
- S. Kong, Y. Li and D. Kim, Convolution sums of restricted divisor functions derived from Dirichlet convolution, preprint.
- P.J. McCarthy, Introduction to arithmetical functions, Springer Science and Business Media, 2012.
- M.B. Nathanson, Additive Number Theory, The Classical Bases, Graduate Texts in Mathematics 164, Springer, 1996.
- S. Ramanujan, Collect papers, AMS Chelsea Publishing, Province, RI, USA, 2000.
- R. Vaidyanathaswamy, The theory of multiplicative arithmetic functions, Transactions of the American Mathematical Society 33 (1931), 579-662. https://doi.org/10.1090/S0002-9947-1931-1501607-1
- K.S. Williams, Number Theory in the Spirit of Liouville, London Mathematical Society, Student Texts 76, Cambridge, 2011.