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