Some characterizations of specially multiplicative functions
2003 ◽
Vol 2003
(37)
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pp. 2335-2344
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A multiplicative functionfis said to be specially multiplicative if there is a completely multiplicative functionfAsuch thatf(m)f(n)=∑d|(m,n)f(mn/d2)fA(d)for allmandn. For example, the divisor functions and Ramanujan'sτ-function are specially multiplicative functions. Some characterizations of specially multiplicative functions are given in the literature. In this paper, we provide some further characterizations of specially multiplicative functions.
1996 ◽
Vol 19
(2)
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pp. 209-217
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2017 ◽
Vol 153
(8)
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pp. 1622-1657
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2020 ◽
Vol 16
(06)
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pp. 1369-1376
Keyword(s):
2017 ◽
Vol 148
(1)
◽
pp. 63-77
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2018 ◽
Vol 2020
(5)
◽
pp. 1300-1345
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Keyword(s):
Keyword(s):