List questions from arithmetic-functions

Published on 26 Mar 2026 - 4:06

851

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Attempted exercise using Littlewood's theorem

Published on 31 Jul 2013 - 12:57

131

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An uncountable well-ordered subordering of asymptotic growth rates?

Published on 10 Aug 2013 - 23:34

385

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Can an odd perfect number be divisible by $101$?

Published on 26 Mar 2026 - 13:01

1k

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Image of the Euler phi function

Published on 27 Aug 2013 - 13:49

1.6k

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Arithmetical Functions Sum, $\sum\limits_{d|n}\sigma(d)\phi(\frac{n}{d})$ and $\sum\limits_{d|n}\tau(d)\phi(\frac{n}{d})$

Published on 26 Mar 2026 - 6:21

153

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What proportion of the natural numbers satisfy the following inequalities?

Published on 26 Mar 2026 - 20:16

222

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Decidable & Recursive predicates

Published on 27 Mar 2026 - 13:07

125

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What proportion of the positive integers satisfy $I(n) < \frac{2n}{n + 1} \leq I(n^2)$ < 2?

Published on 09 Sep 2013 - 14:16

51

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A more elegant version of this function?

Published on 28 Sep 2013 - 10:16

157

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Product of all divisors

Published on 26 Mar 2026 - 4:31

295

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Is there a friendly pair $\{a, b\}$ where both $a$ and $b$ are odd?

Published on 28 Oct 2013 - 5:55

49

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Finding $m∈\mathbb N$ such that $d^n(m)$ is not a perfect square for any $n\geq1$

Published on 26 Mar 2026 - 4:34

83

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Demonstration in arithmetic function

Published on 18 Nov 2013 - 17:42

136

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Finding the GCD of $50!$ and $2^{50}$

Published on 29 Nov 2013 - 17:38

List Question

Definition of "totient"

Attempted exercise using Littlewood's theorem

An uncountable well-ordered subordering of asymptotic growth rates?

Can an odd perfect number be divisible by $101$?

Image of the Euler phi function

Arithmetical Functions Sum, $\sum\limits_{d|n}\sigma(d)\phi(\frac{n}{d})$ and $\sum\limits_{d|n}\tau(d)\phi(\frac{n}{d})$

What proportion of the natural numbers satisfy the following inequalities?

Decidable & Recursive predicates

What proportion of the positive integers satisfy $I(n) < \frac{2n}{n + 1} \leq I(n^2)$ < 2?

A more elegant version of this function?

Product of all divisors

Is there a friendly pair $\{a, b\}$ where both $a$ and $b$ are odd?

Finding $m∈\mathbb N$ such that $d^n(m)$ is not a perfect square for any $n\geq1$

Demonstration in arithmetic function

Finding the GCD of $50!$ and $2^{50}$

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