Mean values connected with the Dedekind zeta-function of a non-normal cubic field
Guangshi Lü
Open Mathematics, Tome 11 (2013), p. 274-282 / Harvested from The Polish Digital Mathematics Library
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After Landau’s famous work, many authors contributed to some mean values connected with the Dedekind zetafunction. In this paper, we are interested in the integral power sums of the coefficients of the Dedekind zeta function of a non-normal cubic extension K 3/ℚ, i.e. Sl,K3(x)=∑m⩽xMl(m) , where M(m) denotes the number of integral ideals of the field K 3 of norm m and l ∈ ℕ. We improve the previous results for S2,K3(x) and S3,K3(x) .

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:269117 
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     author = {Guangshi L\"u},
     title = {Mean values connected with the Dedekind zeta-function of a non-normal cubic field},
     journal = {Open Mathematics},
     volume = {11},
     year = {2013},
     pages = {274-282},
     zbl = {1292.11108},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0133-4}
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Guangshi Lü. Mean values connected with the Dedekind zeta-function of a non-normal cubic field. Open Mathematics, Tome 11 (2013) pp. 274-282. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0133-4/

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