Geodesic
On a~particular equivalent of extended Riemann hypothesis for Dirichlet $L$-functions on numerical fields
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 4, pp. 76-79.

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A condition on summatory function over a set of prime ideals for Dirichlet $L$-functions on numerical fields is obtained. This condition is equivalent to extended Riemann hypothesis. Analytical properties of Euler products associated with this equivalent are studied. 
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V. A. Matveev; O. A. Matveeva. On a~particular equivalent of extended Riemann hypothesis for Dirichlet $L$-functions on numerical fields. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 4, pp. 76-79. http://geodesic.mathdoc.fr/item/ISU_2013_13_4_a11/

[1] Hardy G. H., Littlewood J. E., “Some problems of ‘partitio numerorum’; III: On the expression of a number as a sum of primes”, Acta Mathematica, 44 (1923), 1–70 | DOI | MR | Zbl

[2] Kheil'bronn Kh., “$\zeta$-functions and $L$-functions”, Algebraic number theory, Mir, Moscow, 1969, 310–346 | MR