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Results tagged with arithmetic-functions
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user 472825
An arithmetic function is one whose domain is the positive integers and whose range is a subset of the complex numbers. There are a number of important number-theoretic examples.
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Help with R. Ryan's "A simpler dense proof regarding the abundancy Index."
I'm reading Richard Ryan's article "A simpler dense proof regarding the abundancy index" and got stuck in his proof for Theorem 2. The Theorem is stated as follows:
Suppose we have a fraction of the f …
- 133
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Help with R. Ryan's "A simpler dense proof regarding the abundancy Index."
It is actually possbile to show that $b$ is odd with a direct proof, without the contradiction I didn't understand. From the assumptions $n$ odd and $I(b)=\frac{\sigma(b)}{b}=\frac{2n-1}{n}$ with an o …
- 133