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A Transformation Formula for a Class of Arithmetic Sums

Published online by Cambridge University Press:  20 November 2018

M. V. Subbarao  and
V. C. Harris
M. V. Subbarao
Affiliation:
University of Alberta, Edmonton, Alberta, Canada
V. C. Harris
Affiliation:
San Diego State University, San Diego, California, U.S.A.
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Arithmetic sums of the form

where f is an arithmetic function and [ ] is the greatest integer function frequently occur in various situations in the theory of numbers and have much of interest in their own right. Two instances appear in the well-known results.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 1 , 01 March 1981 , pp. 73 - 74
Copyright
Copyright © Canadian Mathematical Society 1981

References

1. Gupta, H., ‘A sum involving the Mobius function', Proceedings American Math. Soc. 19 (1962) 445-447.Google Scholar
2. Harris, V. C. and Subbarao, M. V., ‘An arithmetic sum with an application to quasi fc-free integers', Journal Australian Math. Soc. XV part 3 (1962) 272-278 Google Scholar