Geodesic
Analogues of Titchmarsh's divisor problem
Čebyševskij sbornik, Tome 8 (2007) no. 2, pp. 44-55 
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we give asymptotic formulae for sums of certain arithmetic functions (sum of divisor function; Euler's function) for numbers of type $p-1$.

[1] Titchmarsh E. C., “A divisor problem”, Rend. Circ. Mat. Palermo, 54 (1930), 414–429 | DOI | Zbl

[2] Khooli K., Primenenie metodov resheta v teorii chisel, Per. s angl. V. N. Chubarikova, Nauka, M., 1987 | MR

[3] Bombieri E., “On the large sieve”, Mathematika, 12 (1965), 201–225 | DOI | MR | Zbl

[4] Karatsuba A. A., Osnovy analiticheskoi teorii chisel, Nauka, M., 1983 | MR

[5] Arkhipov G. I., Sadovnichii V. A., Chubarikov V. N., Lektsii po matematicheskomu analizu, 3-e izd., pererab. i dop., Drofa, M., 2003

[6] Davletyarova E. P., “O multiplikativnykh funktsiyakh na mnozhestve $\{p-1\}$”, Chebyshevskii sbornik, 1 (2001), 15–24 | MR | Zbl