Geodesic
Number of lattice points in the hyperbolic cross
Matematičeskie zametki, Tome 63 (1998) no. 3, pp. 363-369 
N. M. Dobrovol'skii; A. L. Roshchenya. Number of lattice points in the hyperbolic cross. Matematičeskie zametki, Tome 63 (1998) no. 3, pp. 363-369. http://geodesic.mathdoc.fr/item/MZM_1998_63_3_a4/
@article{MZM_1998_63_3_a4,
     author = {N. M. Dobrovol'skii and A. L. Roshchenya},
     title = {Number of lattice points in the hyperbolic cross},
     journal = {Matemati\v{c}eskie zametki},
     pages = {363--369},
     year = {1998},
     volume = {63},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_3_a4/}
}
TY  - JOUR
AU  - N. M. Dobrovol'skii
AU  - A. L. Roshchenya
TI  - Number of lattice points in the hyperbolic cross
JO  - Matematičeskie zametki
PY  - 1998
SP  - 363
EP  - 369
VL  - 63
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/MZM_1998_63_3_a4/
LA  - ru
ID  - MZM_1998_63_3_a4
ER  - 
%0 Journal Article
%A N. M. Dobrovol'skii
%A A. L. Roshchenya
%T Number of lattice points in the hyperbolic cross
%J Matematičeskie zametki
%D 1998
%P 363-369
%V 63
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1998_63_3_a4/
%G ru
%F MZM_1998_63_3_a4

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

An asymptotic formula for the number of points of an arbitrary lattice in the hyperbolic cross is obtained.

[1] Titchmarsh E. Ch., Teoriya dzeta-funktsii Rimana, M., 1953

[2] Dobrovolskii N. M., Roschenya A. L., “O chisle tochek reshetki v giperbolicheskom kreste”, II Mezhdunarodnaya konferentsiya “Algebraicheskie, veroyatnostnye, geometricheskie, kombinatornye i funktsionalnye metody v teorii chisel”, Tezisy dokl., VGU, Voronezh, 1995, 53