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.
@article{118815, author = {Manfred K\"uhleitner}, title = {On the asymmetric divisor problem with congruence conditions}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {37}, year = {1996}, pages = {99-116}, zbl = {0852.11052}, mrnumber = {1396163}, language = {en}, url = {http://dml.mathdoc.fr/item/118815} }
Kühleitner, Manfred. On the asymmetric divisor problem with congruence conditions. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) pp. 99-116. http://gdmltest.u-ga.fr/item/118815/
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