Tagged Questions
8
votes
2answers
94 views
Structure of the group of arithmetic functions
This question was originally posted in Elements of finite order in the group of arithmetic functions under Dirichlet convolution.
and it goes as follows: Let G be the group consisting of all ...
4
votes
2answers
188 views
Elements of finite order in the group of arithmetic functions under Dirichlet convolution.
Let $(G, ∗)$ be the group of arithmetic functions $f : N \to C$ that satisfy $f (1)\neq 0$, with group operation given by the Dirichlet product $∗$. The identity function $I$ is the identity element ...
5
votes
1answer
123 views
In what locally compact abelian groups does $\mathbb{Q}$ embed densely?
I know that there is classification of local fields, but here is a closely related question: Can the additive group of $\mathbb{Q}$ be a proper dense subgroup of a locally compact abelian group, whose ...
