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Continuity of the hyperbolic zeta function of lattices |
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| Authors: | N M Dobrovolskii A L Roshchenya I Yu Rebrova |
| Institution: | (1) L. N. Tolstoy Tula State Pedagogical University, USSR |
| Abstract: | The continuity of the hyperbolic zeta function of lattices
H
( ¦ ),= +it, >1, as a function on the metric space of lattices is proved.Translated fromMatematicheskie Zametki, Vol. 63, No. 4, pp. 522–526, April, 1998.The authors wish to express their gratitude to Professor N. M. Korobkov and Professor V. I. Nechaev for fruitful discussions. |
| Keywords: | hyperbolic zeta function space of lattices hyperbolic cross |
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