Geodesic
On the number of classes of Gaussian genus whose arithmetic minimum is divisible by the square of a given odd number
Matematičeskie zametki, Tome 55 (1994) no. 2, pp. 118-127.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{MZM_1994_55_2_a10,
     author = {U. M. Pachev},
     title = {On the number of classes of {Gaussian} genus whose arithmetic minimum is divisible by the square of a given odd number},
     journal = {Matemati\v{c}eskie zametki},
     pages = {118--127},
     publisher = {mathdoc},
     volume = {55},
     number = {2},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1994_55_2_a10/}
}
TY  - JOUR
AU  - U. M. Pachev
TI  - On the number of classes of Gaussian genus whose arithmetic minimum is divisible by the square of a given odd number
JO  - Matematičeskie zametki
PY  - 1994
SP  - 118
EP  - 127
VL  - 55
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1994_55_2_a10/
LA  - ru
ID  - MZM_1994_55_2_a10
ER  - 
%0 Journal Article
%A U. M. Pachev
%T On the number of classes of Gaussian genus whose arithmetic minimum is divisible by the square of a given odd number
%J Matematičeskie zametki
%D 1994
%P 118-127
%V 55
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1994_55_2_a10/
%G ru
%F MZM_1994_55_2_a10
U. M. Pachev. On the number of classes of Gaussian genus whose arithmetic minimum is divisible by the square of a given odd number. Matematičeskie zametki, Tome 55 (1994) no. 2, pp. 118-127. http://geodesic.mathdoc.fr/item/MZM_1994_55_2_a10/

[1] 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, no. 4, Nalchik, 1979, 53–67

[2] Linnik Yu. V., Ergodicheskie svoistva algebraicheskikh polei, LGU, L., 1967

[3] Venkov B. A., Elementarnaya teoriya chisel, M.–L., 1937 | Zbl

[4] Gauss K. F., Trudy po teorii chisel, M., 1959

[5] Malyshev A. V., Pachev U. M., “Ob arifmetike matrits vtorogo poryadka”, Zapiski nauch. sem. LOMI, 93, Nauka, L., 1980, 41–86 | MR | Zbl

[6] Borevich Z. I., Shafarevich I. R., Teoriya chisel, Nauka, M., 1972

[7] Linnik Yu. V., “Asimptoticheskaya geometriya gaussovykh rodov; analog ergodicheskoi teoremy”, DAN SSSR, 108:6 (1956), 1018–1021 | MR

[8] Malyshev A. V., O predstavlenii tselykh chisel polozhitelnymi kvadratichnymi formami, Tr. MIAN, 65, Nauka, M., 1962 | MR | Zbl