Voir la notice de l'article provenant de la source Math-Net.Ru
U. M. Pachev. On the distribution of reduced indefinite binary quadratic forms with the condition of first coefficients divisibility in residue classes. Čebyševskij sbornik, Tome 14 (2013) no. 2, pp. 139-150. http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a12/
@article{CHEB_2013_14_2_a12,
author = {U. M. Pachev},
title = {On the distribution of reduced indefinite binary quadratic forms with the condition of first coefficients divisibility in residue classes},
journal = {\v{C}eby\v{s}evskij sbornik},
pages = {139--150},
year = {2013},
volume = {14},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a12/}
}
TY - JOUR AU - U. M. Pachev TI - On the distribution of reduced indefinite binary quadratic forms with the condition of first coefficients divisibility in residue classes JO - Čebyševskij sbornik PY - 2013 SP - 139 EP - 150 VL - 14 IS - 2 UR - http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a12/ LA - ru ID - CHEB_2013_14_2_a12 ER -
%0 Journal Article %A U. M. Pachev %T On the distribution of reduced indefinite binary quadratic forms with the condition of first coefficients divisibility in residue classes %J Čebyševskij sbornik %D 2013 %P 139-150 %V 14 %N 2 %U http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a12/ %G ru %F CHEB_2013_14_2_a12
[1] Linnik Yu. V., Ergodicheskie svoistva algebraicheskikh polei, Izd-vo Leningr. un-ta, L., 1967 | MR | Zbl
[2] Skubenko B. F., “Asimptoticheskoe raspredelenie tselykh tochek na odnopolostnykh giperboloidakh i ergodicheskie teoremy”, Izvestiya AN SSSR. Ser. Matematika, 26:5 (1962), 721–752 | MR | Zbl
[3] Pachev U. M., “O chisle privedennykh tselochislennykh neopredelennykh binarnykh kvadratichnykh form s usloviem delimosti pervykh koeffitsientov”, Chebyshevskii sbornik, 4:3(7) (2003), 92–105 | MR | Zbl
[4] Linnik Yu. V., Izbrannye trudy. Teoriya chisel. Ergodicheskii metod i L-funktsii, Nauka, L., 1979 | MR | Zbl
[5] Pachev U. M., “Obzor issledovanii po diskretnomu ergodicheskomu metodu v teorii chisel”, Chebyshevskii sbornik, 11:1(33) (2010), 217–233 | MR | Zbl
[6] Pachev U. M., “O raspredelenii privedennykh polozhitelnykh binarnykh kvadratichnykh form s usloviem delimosti pervykh koeffitsientov po klassam vychetov”, Uchenye zap. Orlovskogo gos. un-ta, 2012, no. 6(50), 177–182
[7] Malyshev A. V., Pachev U. M., “Ob arifmetike matrits vtorogo poryadka”, Zap. nauch. sem. LOMI, 93, 1980, 43–86
[8] Venkov B. A., Elementarnaya teoriya chisel, ONTI, M.–L., 1937
[9] Malyshev A. V., Nguen Ngor Goi, “O raspredelenii tselykh tochek na nekotorykh odnopolostnykh giperboloidakh”, Zap. nauch. sem. LOMI, 121, 1983, 83–93 | Zbl
[10] Malyshev A. V., Shirokov B. M., “Novoe dokazatelstvo klyuchevoi lemmy diskretnogo ergodicheskogo metoda dlya vektor-matrits vtorogo poryadka”, Vestn. Leningrad. un-ta. Seriya 1, 1991, no. 2, 34–40
[11] Bachman P., Die Arithmetik der quadratischen Formen, Teubner, Leipzig, 1898 | Zbl