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

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#elementary-number-theory #education #totient-function #multiplicative-function
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Prove that $g(n)$ is a multiplicative function as well

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#elementary-number-theory #multiplicative-function
774
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Prove $\lambda(n)=\sum_{d^2|n}\mu(n/d)^2$ and $\mu^2(n)=\sum_{d^2|n}\mu(d)$

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#number-theory #arithmetic-functions #multiplicative-function #mobius-function #liouville-function
796
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sum of divisors function $\sum \tau(n) = \frac{1}{4}$

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#divergent-series #regularization #multiplicative-function
366
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multiplicative function - gcd - lcm

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#number-theory #elementary-number-theory #gcd-and-lcm #multiplicative-function
67
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function is multiplicative

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#number-theory #elementary-number-theory #multiplicative-function
40
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multiple sums including moebius mu function?

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#number-theory #elementary-number-theory #summation #arithmetic-functions #multiplicative-function
99
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Ideal norm always super-multiplicative?

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#ring-theory #algebraic-number-theory #ideals #multiplicative-function
67
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Proving that $g(1) = 1$, where $g$ is a multiplicative arithmetic function

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#elementary-number-theory #arithmetic-functions #multiplicative-function
332
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Show $\gcd(a,b)=1$ implies $\varphi(a\cdot b)=\varphi(a)\cdot\varphi(b)$

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#elementary-number-theory #gcd-and-lcm #totient-function #multiplicative-function
51
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Discrete distributions such that $P(XY=ab) = P(X=a)P(Y=b)$

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#probability #arithmetic #multiplicative-function
46
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Reference request: Axiomatic treatment of multiplicative functions?

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#abstract-algebra #number-theory #reference-request #algebraic-number-theory #multiplicative-function
347
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Estimate for $\sum_{n\leq x}2^{\Omega(n)}$

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#elementary-number-theory #analytic-number-theory #multiplicative-function #euler-product #dirichlet-convolution
99
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A problem regarding the product of all the elements of $U_n$ for some selected $n$

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#abstract-algebra #abelian-groups #multiplicative-function
267
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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?

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#terminology #gcd-and-lcm #divisor-sum #arithmetic-functions #multiplicative-function

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