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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A prime-divisor function


Author: J. Knopfmacher
Journal: Proc. Amer. Math. Soc. 40 (1973), 373-377
MSC: Primary 10H25
DOI: https://doi.org/10.1090/S0002-9939-1973-0327694-7
MathSciNet review: 0327694
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Abstract: This note studies the asymptotic mean values over arithmetical progressions, the general distribution of values, and the maximum order of magnitude, of a certain natural prime-divisor function of positive integers.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0327694-7
Keywords: Asymptotic mean value, arithmetical progression, asymptotic distribution function, frequency, maximum order of magnitude
Article copyright: © Copyright 1973 American Mathematical Society