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The Series Σ∞1 f(n)/n for Periodic f

Published online by Cambridge University Press:  20 November 2018

Arthur E. Livingston
Arthur E. Livingston*
Affiliation:
University of Alberta (Edmonton)
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We are here concerned with the problem of deciding when Σ∞n=1 f(n)/n ≠ 0, given that f is periodic and the series convergent. In particular, we consider

Conjecture A. Let p be a positive integer and f a (real-or complex-valued) number-theoretic function with period p.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 8 , Issue 4 , June 1965 , pp. 413 - 432
Copyright
Copyright © Canadian Mathematical Society 1965

References

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4. Whittaker, E. T. and Watson, G.N., A Course in Modern Analysis, 2nd ed., Cambridge (1952).Google Scholar