List questions from multiplicative-function

Published on 31 Oct 2014 - 7:51

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Prove that $g(n)$ is a multiplicative function as well

Published on 03 Dec 2014 - 1:12

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Prove $\lambda(n)=\sum_{d^2|n}\mu(n/d)^2$ and $\mu^2(n)=\sum_{d^2|n}\mu(d)$

Published on 25 Mar 2026 - 7:48

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sum of divisors function $\sum \tau(n) = \frac{1}{4}$

Published on 11 Dec 2014 - 0:01

365

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multiplicative function - gcd - lcm

Published on 05 Oct 2019 - 23:42

65

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function is multiplicative

Published on 06 Oct 2019 - 18:41

39

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multiple sums including moebius mu function?

Published on 15 Oct 2019 - 12:15

98

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Ideal norm always super-multiplicative?

Published on 29 Oct 2019 - 13:24

66

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Proving that $g(1) = 1$, where $g$ is a multiplicative arithmetic function

Published on 05 Nov 2019 - 9:21

331

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Show $\gcd(a,b)=1$ implies $\varphi(a\cdot b)=\varphi(a)\cdot\varphi(b)$

Published on 10 Nov 2019 - 20:49

50

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Discrete distributions such that $P(XY=ab) = P(X=a)P(Y=b)$

Published on 17 Dec 2019 - 19:39

45

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Reference request: Axiomatic treatment of multiplicative functions?

Published on 16 Jan 2020 - 12:36

345

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Estimate for $\sum_{n\leq x}2^{\Omega(n)}$

Published on 31 Mar 2020 - 20:53

97

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A problem regarding the product of all the elements of $U_n$ for some selected $n$

Published on 08 Apr 2020 - 10:20

266

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If an arithmetic function $f$ satisfies $f(mn) \leq f(m)f(n)$ (whenever $\gcd(m,n)=1$), is $f$ weakly multiplicative or submultiplicative?

Published on 25 Apr 2020 - 12:08

List Question

Very elementary proof of that Euler's totient function is multiplicative

Prove that $g(n)$ is a multiplicative function as well

Prove $\lambda(n)=\sum_{d^2|n}\mu(n/d)^2$ and $\mu^2(n)=\sum_{d^2|n}\mu(d)$

sum of divisors function $\sum \tau(n) = \frac{1}{4}$

multiplicative function - gcd - lcm

function is multiplicative

multiple sums including moebius mu function?

Ideal norm always super-multiplicative?

Proving that $g(1) = 1$, where $g$ is a multiplicative arithmetic function

Show $\gcd(a,b)=1$ implies $\varphi(a\cdot b)=\varphi(a)\cdot\varphi(b)$

Discrete distributions such that $P(XY=ab) = P(X=a)P(Y=b)$

Reference request: Axiomatic treatment of multiplicative functions?

Estimate for $\sum_{n\leq x}2^{\Omega(n)}$

A problem regarding the product of all the elements of $U_n$ for some selected $n$

If an arithmetic function $f$ satisfies $f(mn) \leq f(m)f(n)$ (whenever $\gcd(m,n)=1$), is $f$ weakly multiplicative or submultiplicative?

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