Keywords: Jordan's totient function.
@article{MZM_2022_112_3_a4,
author = {Wenchang Chu},
title = {Linear {Sums} on the {Floor} {Function} and {Three} {Arithmetic} {Functions}},
journal = {Matemati\v{c}eskie zametki},
pages = {371--375},
year = {2022},
volume = {112},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2022_112_3_a4/}
}
Wenchang Chu. Linear Sums on the Floor Function and Three Arithmetic Functions. Matematičeskie zametki, Tome 112 (2022) no. 3, pp. 371-375. http://geodesic.mathdoc.fr/item/MZM_2022_112_3_a4/
[1] M. Bai, W. Chu, N. N. Li, “Generalization of an identity about Euler's totient function”, Bull. Irish Math. Soc., 83 (2019), 5–7 | DOI | MR
[2] M. A. Alekseyev, “Problems and Solutions”, Amer. Math. Monthly, 118:1 (2011), 84–91 ; “Problems and Solutions”, Amer. Math. Monthly, 119:9 (2012), 800–807 | DOI | DOI
[3] L. Comtet, Advanced Combinatorics, D. Reidel Publ., Dordrecht, 1974 | MR
[4] W. Chu, “Jordan's totient function and trigonometric sums”, Studia Sci. Math. Hungar., 57:1 (2020), 40–53 | MR
[5] R. Dineva, The Euler Totient, the Möbius and the Divisor Functions, http://www.mtholyoke.edu/~robinson/reu/reu05/rdineva1.pdf
[6] N. Pabhapote, V. Laohakoso, “Combinatorial aspects of the generalized EulerTs totient”, Int. J. Math. Math. Sci., 2010 (2010), Article ID 648165 | MR
[7] R. S. Lehman, “On Liouville's Function”, Math. Comput., 14 (1960), 311–320 | MR
[8] R. L. Graham, D. E. Knuth, O. Patashnik, Concrete Mathematics, Addison-Wesley Publ., Reading, MA, 1989 | MR
[9] D. M. Burton, Elementary Number Theory, McGraw-Hill, Boston, MA, 2007 | MR