On Coefficients of Artin L Functions as Dirichlet Series
Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 50-54
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The paper is motivated by a result of Ankeny [1] above Dirichlet L functions in 1952. We generalize this from Dirichlet L functions to Artin L functions of relative abelian extensions, by complementing the ingenious proof of Ankeny's theorem given by Iwasaki [4]. Moreover, we characterize Dirichlet L functions in the class of all Artin L functions in terms of coefficients as Dirichlet series.
Funakura, Takeo. On Coefficients of Artin L Functions as Dirichlet Series. Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 50-54. doi: 10.4153/CMB-1990-008-1
@article{10_4153_CMB_1990_008_1,
author = {Funakura, Takeo},
title = {On {Coefficients} of {Artin} {L} {Functions} as {Dirichlet} {Series}},
journal = {Canadian mathematical bulletin},
pages = {50--54},
year = {1990},
volume = {33},
number = {1},
doi = {10.4153/CMB-1990-008-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-008-1/}
}
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