List questions from multiplicative-function

Published on 24 Apr 2013 - 5:47

444

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How to show $\sum_{d\mid n} \frac{\mu^2(d)}{d} =\prod_{p|n} \left(1+\frac{1}{p}\right)$?

Published on 11 May 2013 - 9:26

131

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How to calculate $2^{mn-1}/(2^n-1) \bmod{(10^9+7)}$

Published on 19 Jul 2013 - 12:42

1.7k

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Figuring out a factor of modulo multiplication knowing other factors

Published on 03 Oct 2013 - 1:30

108

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Orthogonality de Möbius

Published on 25 Oct 2013 - 18:20

132

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Let rad(n) = $\Pi_{primes, p|n}$ p.

Published on 17 Dec 2013 - 4:00

2.2k

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Proof that the euler totient function is multiplicative, correctness?

Published on 26 Dec 2013 - 7:41

1.1k

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Multiplicative inverse of polynomial

Published on 12 Feb 2014 - 5:33

254

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Bounding this arithmetic sum

Published on 24 Feb 2014 - 18:41

141

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Conjecture related to the Erdős discrepancy problem

Published on 03 Mar 2014 - 22:14

6.5k

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Euler's totient function of 18 - phi(18)

Published on 04 Mar 2014 - 3:38

608

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Let $k$ be a fixed positive integer. Prove $f(n)=gcd(n,k)$ is multiplicative.

Published on 18 Apr 2017 - 17:50

174

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Minimal value of summatory function of completely multiplicative functions taking values -1 and 1

Published on 27 Apr 2017 - 0:10

132

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Two Dirichlet characters $\chi$, $\chi'$ are equal if $\chi(p) = \chi'(p)$ for almost all primes

Published on 03 May 2017 - 9:30

365

Views

Does $\sigma(\frac{m}{n})=\frac{\sigma(m)}{\sigma(n)}$ where $\sigma$ is the sum of divisor function?

Published on 09 May 2017 - 21:21

List Question

To estimate $\sum_{m=1}^n \Big(d\big(m^2\big)\Big)^2$

How to show $\sum_{d\mid n} \frac{\mu^2(d)}{d} =\prod_{p|n} \left(1+\frac{1}{p}\right)$?

How to calculate $2^{mn-1}/(2^n-1) \bmod{(10^9+7)}$

Figuring out a factor of modulo multiplication knowing other factors

Orthogonality de Möbius

Let rad(n) = $\Pi_{primes, p|n}$ p.

Proof that the euler totient function is multiplicative, correctness?

Multiplicative inverse of polynomial

Bounding this arithmetic sum

Conjecture related to the Erdős discrepancy problem

Euler's totient function of 18 - phi(18)

Let $k$ be a fixed positive integer. Prove $f(n)=gcd(n,k)$ is multiplicative.

Minimal value of summatory function of completely multiplicative functions taking values -1 and 1

Two Dirichlet characters $\chi$, $\chi'$ are equal if $\chi(p) = \chi'(p)$ for almost all primes

Does $\sigma(\frac{m}{n})=\frac{\sigma(m)}{\sigma(n)}$ where $\sigma$ is the sum of divisor function?

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