Geodesic
Analogues of Titchmarsh's divisor problem
Čebyševskij sbornik, Tome 8 (2007) no. 2, pp. 44-55

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In this paper we give asymptotic formulae for sums of certain arithmetic functions (sum of divisor function; Euler's function) for numbers of type $p-1$. 
@article{CHEB_2007_8_2_a4,
     author = {D. V. Goryashin},
     title = {Analogues of {Titchmarsh's} divisor problem},
     journal = {\v{C}eby\v{s}evskij sbornik},
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     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2007_8_2_a4/}
}
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D. V. Goryashin. Analogues of Titchmarsh's divisor problem. Čebyševskij sbornik, Tome 8 (2007) no. 2, pp. 44-55. http://geodesic.mathdoc.fr/item/CHEB_2007_8_2_a4/