Geodesic
Number of lattice points in the hyperbolic cross
Matematičeskie zametki, Tome 63 (1998) no. 3, pp. 363-369.

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. 
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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/

[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