Abstract
Letd(n) denote the number of divisors ofn, then the asymptotic formula
is derived and, as the main result of the paper, the coefficients ξi(rm),i= 1,2, as functions of the powers of the prime numbers ofm and of g. c. d. (r, m) are determined.
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Literatur
Lehmer, D. H.: Euler constants for arithmetical progressions. Acta Arithm.27, 125–142 (1975).
Hardy, G. H., undE. M. Wright: Einführung in die zahlentheorie. München: Oldenbourg. 1958.
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Kopetzky, H.G. Über die Größenordnung der Teilerfunktion in Restklassen. Monatshefte für Mathematik 82, 287–295 (1976). https://doi.org/10.1007/BF01540600
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DOI: https://doi.org/10.1007/BF01540600