Geodesic
Continuity of the hyperbolic zeta function of lattices
Matematičeskie zametki, Tome 63 (1998) no. 4, pp. 522-526.

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

The continuity of the hyperbolic zeta function of lattices $\zeta_H(\Lambda|\alpha)$, $\alpha=\sigma+it$, $\sigma>1$, as a function on the metric space of lattices is proved. 
@article{MZM_1998_63_4_a4,
     author = {N. M. Dobrovol'skii and A. L. Roshchenya and I. Yu. Rebrova},
     title = {Continuity of the hyperbolic zeta function of lattices},
     journal = {Matemati\v{c}eskie zametki},
     pages = {522--526},
     publisher = {mathdoc},
     volume = {63},
     number = {4},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_4_a4/}
}
TY  - JOUR
AU  - N. M. Dobrovol'skii
AU  - A. L. Roshchenya
AU  - I. Yu. Rebrova
TI  - Continuity of the hyperbolic zeta function of lattices
JO  - Matematičeskie zametki
PY  - 1998
SP  - 522
EP  - 526
VL  - 63
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1998_63_4_a4/
LA  - ru
ID  - MZM_1998_63_4_a4
ER  - 
%0 Journal Article
%A N. M. Dobrovol'skii
%A A. L. Roshchenya
%A I. Yu. Rebrova
%T Continuity of the hyperbolic zeta function of lattices
%J Matematičeskie zametki
%D 1998
%P 522-526
%V 63
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1998_63_4_a4/
%G ru
%F MZM_1998_63_4_a4
N. M. Dobrovol'skii; A. L. Roshchenya; I. Yu. Rebrova. Continuity of the hyperbolic zeta function of lattices. Matematičeskie zametki, Tome 63 (1998) no. 4, pp. 522-526. http://geodesic.mathdoc.fr/item/MZM_1998_63_4_a4/

[1] Kassels Dzh., Vvedenie v geometriyu chisel, Mir, M., 1965

[2] Dobrovolskii N. M., Roschenya A. L., “O chisle tochek reshetki v giperbolicheskom kreste”, Matem. zametki, 63:3 (1998), 363–369 | MR | Zbl