Geodesic
Two-side estimates of the number of fixed points of a discrete logarithm
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2012), pp. 3-8

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Lower and upper bounds are obtained for an average number of solutions of the congruence $g^x\equiv x\pmod p$ in nonnegative integer numbers $x\le p-1$, where $g$ is a primitive root modulo $p$. 
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     author = {E. A. Grechnikov},
     title = {Two-side estimates of the number of fixed points of a discrete logarithm},
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     publisher = {mathdoc},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2012_3_a0/}
}
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E. A. Grechnikov. Two-side estimates of the number of fixed points of a discrete logarithm. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2012), pp. 3-8. http://geodesic.mathdoc.fr/item/VMUMM_2012_3_a0/