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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On uniform elementary estimates of arithmetic sums
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by Stefan A. Burr PDF
Proc. Amer. Math. Soc. 39 (1973), 497-502 Request permission

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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Additional Information
  • © Copyright 1973 American Mathematical Society
  • 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