The Series Σ∞ 1 f(n)/n for Periodic f
Canadian mathematical bulletin, Tome 8 (1965) no. 4, pp. 413-432
Voir la notice de l'article provenant de la source Cambridge University Press
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.
Livingston, Arthur E. The Series Σ∞ 1 f(n)/n for Periodic f. Canadian mathematical bulletin, Tome 8 (1965) no. 4, pp. 413-432. doi: 10.4153/CMB-1965-029-2
@article{10_4153_CMB_1965_029_2,
author = {Livingston, Arthur E.},
title = {The {Series} {\ensuremath{\Sigma}\ensuremath{\infty}} 1 f(n)/n for {Periodic} f},
journal = {Canadian mathematical bulletin},
pages = {413--432},
year = {1965},
volume = {8},
number = {4},
doi = {10.4153/CMB-1965-029-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-029-2/}
}
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