Additive inverse
Number Theory
Level
3
True or False :
There exists no additive function such that its Dirichlet inverse is another additive function.
False
True
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1 solution
let f be the function, then f ( 1 ) = 0 by defination of additive, but we know that for a function f to have a dirichlet inverse, f ( 1 ) = 0 , so, the answer is true.