2017年12月4日 · First of all, there's no reason to work with the number $1989$ modulo $836$. We can reduce it, and obtain $1989\equiv 317$, so $1989^{359}\equiv 317^{359}$.

2019年1月31日 · In mathematics involving waves, it is common to express cosine (or sine) with a different representation using the inverse Euler formula: $$\cos(\theta)=\frac{e^{i\theta}+e^{-i\theta}}{2} \tag{1}$$ For example, the following expression can be …

On the image of Euler’s totient function, R.Coleman. Complexity of Inverting the Euler Function, by Scott Contini, Ernie Croot, Igor Shparlinski. There have been several questions along these lines, for example, the-inverse-of-the-euler-totient-function, inverting-the-totient-function and finding-the-maximum-number-with-a-certain-eulers ...

2019年1月14日 · I have to demonstrate that $$\phi^{-1}(n)= \prod_{p|n}(1-p)$$ where $\phi(n)$ is the Euler's totient function

2017年6月1日 · When I search for Inverse of Euler's totient function I get answers for how to solve $\phi(n)=k$, which is not what I'm looking for, so maybe I'm asking the wrong question? I'm more confused by the fact the answer that I'm given is $\phi^{-1}(12)=2$ because if $\phi^{-1}(2)=-1$ and $\phi^{-1}(3)=-2$, assuming $\phi^{-1}$ is multiplicative ...

2017年5月2日 · I am having trouble with understading how inverse totient function works. I know it can have multiple solutions but I don't understand how to find all of them for bigger numbers. For example how would one approach to problem of solving this equation:

I need the inverse rotation (working on coordinate system transforms). What I do now is transforming these angle to a rotation matrix (using Rodrigues formula implemented in OpenCV) then calculate the inverse rotation matrix and finally use Rodrigues formula again to get the inverse angles. With an angle input of

2017年11月11日 · The usual way for finding the modular inverse is carrying out Euclid's algorithm for gcd with extra details (keep track of quotients in every division, not just remainders). This is called Extended Euclidean Algorithm.

Let me answer the main question, concerning "An inverse for Euler's $\zeta$ function product formula": In fact my answer to your question was part of one of my own questions. Provided with the answers given there, you can get the generating set or primes $\mathbb{P}$ with the following iterative procedure: Assume the following process:

2020年9月21日 · $\begingroup$ If your are asking if there is an analog of little Fermat in a finite field $\,\Bbb Z[i]/p\,$ then the answer is yes (hint: apply Lagrange's theorem to the multiplicative group).