Geodesic
Asymptotic distribution of classes of positive binary quadratic forms with conditions of the divisibility of coefficients
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 6, pp. 123-130
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Asymptotic formulas for the number of classes of positive binary quadratic forms with conditions of divisibility of extreme coefficients are obtained by the discrete ergodic method. 
@article{FPM_2005_11_6_a11,
     author = {U. M. Pachev},
     title = {Asymptotic distribution of classes of positive binary quadratic forms with conditions of the divisibility of coefficients},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {123--130},
     year = {2005},
     volume = {11},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_6_a11/}
}
TY  - JOUR
AU  - U. M. Pachev
TI  - Asymptotic distribution of classes of positive binary quadratic forms with conditions of the divisibility of coefficients
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2005
SP  - 123
EP  - 130
VL  - 11
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/FPM_2005_11_6_a11/
LA  - ru
ID  - FPM_2005_11_6_a11
ER  - 
%0 Journal Article
%A U. M. Pachev
%T Asymptotic distribution of classes of positive binary quadratic forms with conditions of the divisibility of coefficients
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2005
%P 123-130
%V 11
%N 6
%U http://geodesic.mathdoc.fr/item/FPM_2005_11_6_a11/
%G ru
%F FPM_2005_11_6_a11
U. M. Pachev. Asymptotic distribution of classes of positive binary quadratic forms with conditions of the divisibility of coefficients. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 6, pp. 123-130. http://geodesic.mathdoc.fr/item/FPM_2005_11_6_a11/

[1] Linnik Yu. V., Ergodicheskie svoistva algebraicheskikh polei, Izd-vo Leningr. un-ta, L., 1967 | MR | Zbl

[2] Linnik Yu. V., “Asimptoticheskoe raspredelenie privedennykh binarnykh kvadratichnykh form v svyazi s geometriei Lobachevskogo, I–III”, Vestn. Leningr. un-ta, 1955, no. 2, 3–23 ; No 5, 3–32 ; No 8, 15–27 | MR | Zbl | MR | MR

[3] Malyshev A. V., Pachev U. M., “O chisle klassov tselochislennykh polozhitelnykh binarnykh kvadratichnykh form, arifmeticheskii minimum kotorykh delitsya na zadannoe chislo”, Algebra i teoriya chisel, Vyp. 4, Nalchik, 1979, 53–67

[4] Pachev U. M., “O raspredelenii tselykh tochek na nekotorykh dvupolostnykh giperboloidakh”, Zap. nauch. sem. LOMI AN SSSR, 93, 1980, 87–141 | MR | Zbl

[5] Pachev U. M., “O chisle klassov gaussova roda, arifmeticheskii minimum kotorykh delitsya na kvadrat zadannogo nechetnogo chisla”, Mat. zametki, 55:2 (1994), 118–127 | MR | Zbl