Geodesic
The mean-value of the Artin L-series and its derivative of a cubic field
Glasgow mathematical journal, Tome 21 (1980) no. 1, pp. 9-18

Voir la notice de l'article provenant de la source Cambridge University Press

Let K be a non-abelian cubic field of discriminant D, and ζK(s) its Dedekind zeta-function. Set ψ(s) = ζk(s)/ζ(s). Then it is known that ψ(s) is the Artin L-series associated with the field K. It is also known that ψ(s) is an entire function of order 1. 
Weinstein, Lenard. The mean-value of the Artin L-series and its derivative of a cubic field. Glasgow mathematical journal, Tome 21 (1980) no. 1, pp. 9-18. doi: 10.1017/S001708950000392X
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