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On uniform elementary estimates of arithmetic sums


Author: Stefan A. Burr
Journal: Proc. Amer. Math. Soc. 39 (1973), 497-502
MSC: Primary 10H25
DOI: https://doi.org/10.1090/S0002-9939-1973-0314784-8
MathSciNet review: 0314784
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Abstract: A simple, elementary method is given for deriving estimates of sums of arithmetic functions, the estimates being in a certain sense uniform over a class of functions appearing in the summation. The method is particularly well suited to estimates needed in applications of Selberg's sieve.


References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/S0002-9939-1973-0314784-8
Article copyright: © Copyright 1973 American Mathematical Society