List questions from multiplicative-function

Published on 30 Oct 2017 - 2:38

121

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Lower bound for sum of a multiplicative function based on lower bound on value of primes

Published on 12 Nov 2017 - 2:42

198

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In the definition of the Mobius function and basic properties, can we change square-free to something else?

Published on 25 Mar 2026 - 21:01

472

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How to do a sum of a function over all divisors of an integer with Maple?

Published on 02 Dec 2017 - 23:28

60.3k

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Order of operations for multiplying three matrices

Published on 11 Jan 2018 - 19:47

240

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Error in Bell series of arithmetic functions

Published on 23 Apr 2011 - 14:59

2.4k

Views

Asymptotic formula for $\sum_{n\leq x}\mu(n)[x/n]^2$ and the Totient summatory function $\sum_{n\leq x} \phi(n)$

Published on 08 May 2011 - 17:16

207

Views

Counting which values of a polynomial in $\mathbb{Z}[X]$ are coprime to a given integer.

Published on 31 Jul 2011 - 6:21

2.1k

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On the mean value of a multiplicative function: Prove that $\sum\limits_{n\leq x} \frac{n}{\phi(n)} =O(x) $

Published on 22 Nov 2011 - 20:39

1.8k

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Mean Value of a Multiplicative Function close to $n$ in Terms of the Zeta Function

Published on 10 Dec 2011 - 5:46

574

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Dirichlet Series and Average Values of Certain Arithmetic Functions

Published on 06 Jun 2012 - 18:22

580

Views

Group-theoretic proof that an increasing multiplicative function is exponential

Published on 08 Jun 2012 - 16:29

302

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Sum of $n \sigma(n)$

Published on 19 Jun 2012 - 18:26

3.1k

Views

if $f(n)$ is multiplicative prove that $f(n)/n$ is also multiplicative.

Published on 03 Jul 2012 - 5:30

51.5k

Views

What's the proof that the Euler totient function is multiplicative?

Published on 07 Sep 2012 - 17:39

List Question

Increment in multiplying

Lower bound for sum of a multiplicative function based on lower bound on value of primes

In the definition of the Mobius function and basic properties, can we change square-free to something else?

How to do a sum of a function over all divisors of an integer with Maple?

Order of operations for multiplying three matrices

Error in Bell series of arithmetic functions

Asymptotic formula for $\sum_{n\leq x}\mu(n)[x/n]^2$ and the Totient summatory function $\sum_{n\leq x} \phi(n)$

Counting which values of a polynomial in $\mathbb{Z}[X]$ are coprime to a given integer.

On the mean value of a multiplicative function: Prove that $\sum\limits_{n\leq x} \frac{n}{\phi(n)} =O(x) $

Mean Value of a Multiplicative Function close to $n$ in Terms of the Zeta Function

Dirichlet Series and Average Values of Certain Arithmetic Functions

Group-theoretic proof that an increasing multiplicative function is exponential

Sum of $n \sigma(n)$

if $f(n)$ is multiplicative prove that $f(n)/n$ is also multiplicative.

What's the proof that the Euler totient function is multiplicative?

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