Geodesic
Approximation of the zeta function of quadratic forms of negative discriminant
Čebyševskij sbornik, Tome 14 (2013) no. 4, pp. 7-12.

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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. 
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I. F. Avdeev. Approximation of the zeta function of quadratic forms of negative discriminant. Čebyševskij sbornik, Tome 14 (2013) no. 4, pp. 7-12. http://geodesic.mathdoc.fr/item/CHEB_2013_14_4_a0/

[1] Voronin S. M., Izbrannye trudy: matematika, Pod red. i vstup. st. A. A. Karatsuby, RAN, Mat. in-t im. V. A. Steklova RAN, M.; MGTU im. N. E. Baumana, 2006, 480 pp.

[2] Vinogradov I. M., Metod trigonometricheskikh summ v teorii chisel, Tr. MIAN SSSR, 23, 1947, 110 pp.

[3] Titchmarsh I. M., Teoriya dzeta-funktsii Rimana, Izd-vo inostr. lit., M., 1953, 409 pp.

[4] Avdeev I. F., “O nekotorykh formulakh summirovaniya”, Chebyshevskii sbornik, 12:4(40) (2011), 24–32 | MR | Zbl

[5] Avdeev F. S., Avdeev I. F., “Asimptoticheskoe razlozhenie ostatochnogo chlena v priblizhennom funktsionalnom uravnenii dlya dzeta-funktsii Rimana”, Uchenye zapiski Orlovskogo gos. un-ta. Ser. Estestvennye nauki, 2012, no. 3(47), 6–14

[6] Avdeev I. F., “Ob otsenke ostatochnogo chlena v priblizhennom funktsionalnom uravnenii Khardi–Littlvuda dlya dzeta-funktsii Rimana”, Uchenye zapiski Orlovskogo gos. un-ta. Ser. Estestvennye nauki, 2012, no. 3(47), 15–19 | MR