The Series Σ∞1 f(n)/n for Periodic f
Author:
- Arthur E. LivingstonALArthur E. Livingston
- 1 June 1965
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 8 (4) , 413-432
Abstract
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 considerConjecture A. Let p be a positive integer and f a (real-or complex-valued) number-theoretic function with period p.Keywords
This publication has 1 reference indexed in Scilit:
- The Riemann zeta and allied functionsBulletin of the American Mathematical Society, 1952