Continuity of the hyperbolic zeta function of lattices

DOI10.1007/BF02311248zbMath0924.11075MaRDI QIDQ1280656

I. Yu. Rebrova, A. L. Roshchenya, N. M. Dobrovol'skij

Publication date: 15 November 1999

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

\(n\)-dimensional latticehyperbolic zeta functionmetric space of lattices

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Other Dirichlet series and zeta functions (11M41) Lattice points in specified regions (11P21)

Related Items (6)

On Hyperbolic Zeta Function of Lattices ⋮ NUMBER-THEORETIC METHOD IN APPROXIMATE ANALYSIS ⋮ NUMBER-THEORETIC METHOD IN APPROXIMATE ANALYSIS ⋮ N. М. Korobov and the theory of the hyperbolic zeta function of lattices ⋮ NUMBER-THEORETIC METHOD IN APPROXIMATE ANALYSIS ⋮ NUMBER-THEORETIC METHOD IN APPROXIMATE ANALYSIS

Cites Work

• Number of lattice points in the hyperbolic cross
• An Introduction to the Geometry of Numbers

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