Geodesic
Approximation zeta function of the quadratic form by segment of the Dirichlet series
Čebyševskij sbornik, Tome 14 (2013) no. 2, pp. 8-27

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In this article functional approximate equation was get for zeta-function in square form with negative discriminant.
Keywords: Riemann zeta-function, quadratic form, the Dirichlet series. 
@article{CHEB_2013_14_2_a1,
     author = {I. F. Avdeev},
     title = {Approximation zeta function of the quadratic form by segment of the {Dirichlet} series},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {8--27},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a1/}
}
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I. F. Avdeev. Approximation zeta function of the quadratic form by segment of the Dirichlet series. Čebyševskij sbornik, Tome 14 (2013) no. 2, pp. 8-27. http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a1/