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Keywords:
multidimensional asymmetric divisor problems
multidimensional asymmetric divisor problems
Summary:
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.
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