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.

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DOI:
https://doi.org/10.1090/S0002-9939-1973-0314784-8

Article copyright:
© Copyright 1973
American Mathematical Society