Geodesic
On the asymmetric divisor problem with congruence conditions
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 1, pp. 99-116

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A certain generalized divisor function $d^*(n)$ is studied which counts the number of factorizations of a natural number $n$ into integer powers with prescribed exponents under certain congruence restrictions. An $\Omega$-estimate is established for the remainder term in the asymptotic for its Dirichlet summatory function.
Classification : 11M06, 11M35, 11N37, 11N69, 11P21
Keywords: multidimensional asymmetric divisor problems 
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     title = {On the asymmetric divisor problem with congruence conditions},
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Kühleitner, Manfred. On the asymmetric divisor problem with congruence conditions. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 1, pp. 99-116. http://geodesic.mathdoc.fr/item/CMUC_1996__37_1_a5/