Generating Functions for a Class of Arithmetic Functions
1966 ◽
Vol 9
(4)
◽
pp. 427-431
◽
Keyword(s):
In this note the arithmetic functions L(n) and w(n) denote respectively the number and product of the distinct prime divisors of the integer n ≥ 1, and L(l) = 0, w(l) = 1. An arithmetic function f is called multiplicative if f(1) = 1 and f(mn) = f(m)f(n) whenever (m, n) = 1. It is known ([1], [3], [4]) that every multiplicative function f satisfies the identity1.1
1967 ◽
Vol 10
(1)
◽
pp. 65-73
◽
1941 ◽
Vol 37
(4)
◽
pp. 358-372
◽
1975 ◽
Vol 20
(3)
◽
pp. 348-358
◽
1975 ◽
Vol 78
(1)
◽
pp. 33-71
◽
1980 ◽
Vol 32
(4)
◽
pp. 893-907
◽
1976 ◽
Vol 79
(1)
◽
pp. 43-54
◽
2021 ◽
Vol 27
(1)
◽
pp. 32-44
1969 ◽
Vol 6
(03)
◽
pp. 478-492
◽
1904 ◽
Vol 24
◽
pp. 387-392
◽