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Euler totient of a number

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#elementary-number-theory #prime-numbers #totient-function
515
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How can I show that $\phi(m) \mid \phi(n)$?

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#elementary-number-theory #divisibility #totient-function #arithmetic-functions
51
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Prove or Disprove the following statemnet

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#totient-function #primitive-roots
125
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suppose a>1 is an integer, and p is an odd prime number.

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#elementary-number-theory #totient-function #primitive-roots
91
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Finding formulas for sums

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#number-theory #summation #totient-function #arithmetic-functions
1.8k
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prove that $\phi(xy) =\phi(x)\phi(y)$ for any $x$ and $y$ with $(x, y) = 1$.

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#elementary-number-theory #totient-function #arithmetic-functions
1.7k
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The number of summands $\phi(n)$

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#elementary-number-theory #totient-function
172
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Is the totient function $\varphi$ invertible?

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#elementary-number-theory #totient-function #arithmetic-functions #multiplicative-function
336
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Show that the phi function is multiplicative $\phi(mn) = \phi(m)\phi(n)$

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#elementary-number-theory #totient-function #multiplicative-function
903
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How to show that $ \sum_{d/n} \mu^{2}(d)/\phi(d) = n/\phi(n)$?

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#elementary-number-theory #summation #totient-function
132
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A question about the convergence of partial products of zeta of one.

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#number-theory #analytic-number-theory #riemann-zeta #totient-function #euler-product
768
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Euler-Totient Multiplicative

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#totient-function #chinese-remainder-theorem #multiplicative-function
4.6k
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Proving $\phi(m)|\phi(n)$ whenever $m|n$

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#combinatorics #elementary-number-theory #divisibility #totient-function #arithmetic-functions
469
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Datermine the time complexity of an algorithm calculating the sum of Euler $\phi$ function.

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#number-theory #algorithms #computational-complexity #totient-function
265
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problem about Euler function $\phi$.

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#elementary-number-theory #totient-function

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