Two-sided estimates for number of fixed points of a discrete logarithm / E. A. Grechnikov. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. ? 3. P. 3-8 [Moscow Univ. Math. Bulletin. Vol. 67, N 3, 2012.].
Lower and upper bounds are obtained for an average number of solutions of the congruence gx≡x (mod p) in nonnegative integer numbers x≤p-1, where g is a primitive root modulo p.
Key words: discrete logarithm, Brizolis problem.