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@article{IM2_1997_61_1_a1, author = {S. A. Gritsenko}, title = {Zeros of a~special type of function associated with {Hecke} $L$-functions of imaginary quadratic fields}, journal = {Izvestiya. Mathematics }, pages = {45--68}, publisher = {mathdoc}, volume = {61}, number = {1}, year = {1997}, language = {en}, url = {http://geodesic.mathdoc.fr/item/IM2_1997_61_1_a1/} }
TY - JOUR AU - S. A. Gritsenko TI - Zeros of a~special type of function associated with Hecke $L$-functions of imaginary quadratic fields JO - Izvestiya. Mathematics PY - 1997 SP - 45 EP - 68 VL - 61 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1997_61_1_a1/ LA - en ID - IM2_1997_61_1_a1 ER -
S. A. Gritsenko. Zeros of a~special type of function associated with Hecke $L$-functions of imaginary quadratic fields. Izvestiya. Mathematics , Tome 61 (1997) no. 1, pp. 45-68. http://geodesic.mathdoc.fr/item/IM2_1997_61_1_a1/
[1] Selberg A., “Old and new conjectures and results about a class of Dirichlet series”, Proc. of the Amalfi conference on Analytic Number Theory, Univ. di. Salerno, 1992, 365–387 | MR
[2] Conrey J. B., Ghosh A., “On the Selberg class of Dirichlet series: small degrees”, Duke Math. J., 72:3 (1993), 673–695 | DOI | MR
[3] Karatsuba A. A., “Novyi podkhod k probleme nulei nekotorykh ryadov Dirikhle”, Tr. MIRAN, 207 (1994), 180–196 | MR | Zbl
[4] Karatsuba A. A., “Nuli arifmeticheskikh nulei Dirikhle”, Math. Slovaca, 44:5 (1994), 633–649 | MR | Zbl
[5] Bombieri E., Hejhal D., “Sur les zéros des fonctions zêta d'Epstein”, C. R. Acad. Sci. Paris. Ser. I. Math., 304 (1987), 213–217 | MR | Zbl
[6] Hejhal D., “Zeros of Epstein zeta-functions and Supercomputers”, Proc. Intern. Congr. Math. Berkeley (Calif., USA), 1986, 1362–1383 | MR
[7] Davenport H., Heilbronn H., “On the zeros of certain Dirichlet series”, J. Lond. Math. Soc., 11 (1936), 181–185 ; 307–312 | DOI | Zbl | Zbl
[8] Karatsuba A. A., “O nulyakh funktsii Devenporta–Kheilbronna, lezhaschikh na kriticheskoi pryamoi”, Izv. AN SSSR. Ser. matem., 54:2 (1990), 303–315 | MR | Zbl
[9] Voronin S. M., “O nulyakh dzeta-funktsii kvadratichnykh form”, Tr. MIAN, 142, Nauka, M., 1976, 135–147 | MR | Zbl
[10] Voronin S. M., “O nulyakh dzeta-funktsii kvadratichnykh form”, DAN SSSR, 235:2 (1977), 257–258 | MR | Zbl
[11] Voronin S. M., Karatsuba A. A., Dzeta-funktsiya Rimana, Fizmatlit, M., 1994 | MR
[12] Titchmarsh E. K., Teoriya dzeta-funktsii Rimana, IL, M., 1953
[13] Hardy G., Littlewood J. E., “The zeros of Riemann zeta-function on the critical line”, Math. Zs., 10 (1921), 283–317 | DOI | MR | Zbl
[14] Voronin S. M., “O nulyakh nekotorykh ryadov Dirikhle, lezhaschikh na kriticheskoi pryamoi”, Izv. AN SSSR. Ser. matem., 44:1 (1980), 63–91 | MR | Zbl
[15] Karatsuba A. A., “O nulyakh funktsii Devenporta–Kheilbronna, lezhaschikh na kriticheskoi pryamoi”, Izv. AN SSSR. Ser. matem., 54:2 (1990), 303–315 | MR | Zbl
[16] Karatsuba A. A., “O nulyakh spetsialnogo vida funktsii, svyazannykh s ryadami Dirikhle”, Izv. AN SSSR. Ser. matem., 55:3 (1991), 483–514
[17] Gritsenko S. A., “O nulyakh lineinykh kombinitsii spetsialnogo vida funktsii, svyazannykh s ryadami Dirikhle iz klassa Selberga”, Izv. RAN. Ser. matem., 60:4 (1996), 3–42 | MR | Zbl
[18] Aierlend K., Rouzen M., Klassicheskoe vvedenie v sovremennuyu teoriyu chisel, Mir, M., 1987 | MR
[19] Leng S., Algebraicheskie chisla, Mir, M., 1966 | MR
[20] Borevich Z. I., Shafarevich I. R., Teoriya chisel, Nauka, M., 1973
[21] Lavrik A. F., “Priblizhennoe funktsionalnoe uravnenie dzeta-funktsii Gekke mnimogo kvadratichnogo polya”, Matem. zametki, 2:5 (1967), 475–482 | MR | Zbl
[22] Karatsuba A. A., Osnovy analiticheskoi teorii chisel, Nauka, M., 1983 | MR
[23] Prakhar K., Raspredelenie prostykh chisel, Mir, M., 1967 | MR