Geodesic
Asymptotic formula for the sum of sums of the elements of continued fractions for the numbers $a/p$
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 2, Tome 91 (1979), pp. 81-93

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In the paper an asymptotic formula for the sum of sums of elements of continued fractions of numbers $a/p$ ($p$ – prime) is given. 
@article{ZNSL_1979_91_a5,
     author = {V. N. Popov},
     title = {Asymptotic formula for the sum of sums of the elements of continued fractions for the numbers $a/p$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {81--93},
     publisher = {mathdoc},
     volume = {91},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_91_a5/}
}
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V. N. Popov. Asymptotic formula for the sum of sums of the elements of continued fractions for the numbers $a/p$. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 2, Tome 91 (1979), pp. 81-93. http://geodesic.mathdoc.fr/item/ZNSL_1979_91_a5/