#GRAPH OF EULER TOTIENT FUNCTION FOR FREE#

In the above examples, where n 7, there phi (n) 6, &. It represents the total count of numbers which are coprime to n. Finch, Euler Totient Function Asymptotic Constants Broken link Steven R.

#GRAPH OF EULER TOTIENT FUNCTION FOR FREE#

Probably the best reference for what is currently known about this error term is the paper ' Oscillations of the remainder term related to the Euler totient function' by Kaczorowski and Wiertelak (but unfortunately this paper isn't available for free online).ĮDIT: Very recently, Lemke Oliver and Soundararajan have reproven the existence of the limiting distribution of $E(x)/x$, as well as quantitative bounds for the tails of this distribution see Theorem 1.3 of their paper. For any number n, Euler Totient Function will be represented as phi (n). Rayan Chikhi, Vladan Jovicic, Stefan Kratsch, Paul Medvedev, Martin Milanic, Sofya Raskhodnikova, Nithin Varma, Bipartite Graphs of Small Readability, arXiv:1805.04765 cs.DM, 2018.

It computes the count ( also referred as totatives) of positive integers up to N that are coprime ( relatively prime ) to N.

I don't think anyone has worked out what the distribution of the error term Euler’s Totient function is also known as the Phi function. If we want to find phi(x) then we have to divide it by all its prime divisor then multiply the result with (that prime number-1).So.

Graph of euler totient function