An Inculsion Theorem for Dirichlet Series
Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 479-481
Voir la notice de l'article provenant de la source Cambridge University Press
It is shown that under certain conditions the asymptotic relationship between two Dirichlet series implies the same relationship with λn replaced by log λn .
Borwein, David. An Inculsion Theorem for Dirichlet Series. Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 479-481. doi: 10.4153/CMB-1989-069-9
@article{10_4153_CMB_1989_069_9,
author = {Borwein, David},
title = {An {Inculsion} {Theorem} for {Dirichlet} {Series}},
journal = {Canadian mathematical bulletin},
pages = {479--481},
year = {1989},
volume = {32},
number = {4},
doi = {10.4153/CMB-1989-069-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-069-9/}
}
[1] 1. Borwein, D., Tauberian conditions for the equivalence of weighted mean and power series methods of summability, Canad. Math. Bull., 24 (1981), 309–316. Google Scholar
[2] 2. Borwein, D., Tauberian and other theorems concerning Dirichlet's series with non-negative coefficients, Math. Proc. Camb. Phil. Soc, 102 (1987), 517–532. Google Scholar
[3] 3. Hardy, G. H., Divergent Series (Oxford University Press, 1949). Google Scholar
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