Geodesic
Continuity of Dirichlet series of $s$-dimensional lattices
Čebyševskij sbornik, Tome 25 (2024) no. 2, pp. 251-259

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In this work, Dirichlet series of $s$-dimensional lattices are studied. In particular, the theorem is proved that the Dirichlet series of $s$-dimensional lattices are continuous on the space of lattices in the region of their absolute convergence. In conclusion, current problems for Dirichlet series of $s$-dimensional lattices that require further research are considered.
Keywords: Riemann zeta function, Dirichlet series, hyperbolic lattice zeta function. 
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     author = {{\CYRR}. V. Tarabrin and N. N. Dobrovol'skii and I. Yu. Rebrova and N. M. Dobrovol'skii},
     title = {Continuity of {Dirichlet} series of $s$-dimensional lattices},
     journal = {\v{C}eby\v{s}evskij sbornik},
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     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2024_25_2_a15/}
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Р. V. Tarabrin; N. N. Dobrovol'skii; I. Yu. Rebrova; N. M. Dobrovol'skii. Continuity of Dirichlet series of $s$-dimensional lattices. Čebyševskij sbornik, Tome 25 (2024) no. 2, pp. 251-259. http://geodesic.mathdoc.fr/item/CHEB_2024_25_2_a15/