Geodesic
Distribution of the number of square-free divisors in residue classes
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2020), pp. 3-11

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The notion of weekly uniform distribution of arithmetical functions was introduced by W. Narckiewicz. The existence problem of that distribution was solved and asymptotic formulas for frequency of hits of function values to residue classes coprime with a module was done for many functions in various papers. That asymptotic formulas contained only principal part of the asymptotic, as rule. Such problem solves for the function which gives the number of square-free divisors of integer, but the asymptotic formula is the asymptotic series.
Keywords: distribution in the residue classes, asymptotic formulas, weekly uniform distribution, number of square-free divisors. 
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     author = {L. A. Gromakovskaya and B. M. Shirokov},
     title = {Distribution of the number of square-free divisors in residue classes},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--11},
     publisher = {mathdoc},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_3_a0/}
}
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L. A. Gromakovskaya; B. M. Shirokov. Distribution of the number of square-free divisors in residue classes. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2020), pp. 3-11. http://geodesic.mathdoc.fr/item/IVM_2020_3_a0/