MathDB
B 5

Source:

May 25, 2007
modular arithmeticalgebrapolynomialVietasymmetrysearchinduction

Problem Statement

Let pp be an odd prime. If g1,⋯ ,gϕ(p−1)g_{1}, \cdots, g_{\phi(p-1)} are the primitive roots (modp)\pmod{p} in the range 1<g≤p−11<g \le p-1, prove that ∑i=1ϕ(p−1)gi≡μ(p−1)(modp).\sum_{i=1}^{\phi(p-1)}g_{i}\equiv \mu(p-1) \pmod{p}.
Back to ProblemsView on AoPS