The Generalized Divisor Problem Over Arithmetic Progressions.

Robert A. Smith

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Sums of multiplicative function in special arithmetic progressions

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Asymptotics for a class of arithmetic functions

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We study the asymptotic behaviour of the summatory function of a class of arithmetic functions. These functions are generalizations of the well-known general 4-dimensional divisor function d₄(n). We show that the corresponding error estimate is the best one can obtain by the present methods of analytic number theory.