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The Landau-Selberg-Delange method for products of Dirichlet -functions, and applications, I
Akash Singha Roy
The Landau-Selberg-Delange method gives precise asymptotic formulas for the partial sums of a Dirichlet series that behaves like a compl…
Joint distribution in residue classes of families of polynomially-defined multiplicative functions
Akash Singha Roy
We study the distribution of families of multiplicative functions among the coprime residue classes to moduli varying uniformly in a wide range, obtaining analogues of the Siegel--…
Joint distribution in residue classes of families of polynomially-defined additive functions
Akash Singha Roy
Let be additive functions for which there exist nonconstant polynomials satisfying for all primes and all $i \in \{1, \d…
Mean values of multiplicative functions and applications to the distribution of the sum of divisors
Akash Singha Roy
We provide uniform bounds on mean values of multiplicative functions under very general hypotheses, detecting certain power savings missed in known results in the literature. As an…