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Distribution of lattice points on hyperbolic surfaces

Vsevolod F. Lev (1996)

Acta Arithmetica

Let two lattices Λ ' , Λ ' ' s have the same number of points on each hyperbolic surface | x . . . x s | = C . We investigate the case when Λ’, Λ” are sublattices of s of the same prime index and show that then Λ’ and Λ” must coincide up to renumbering the coordinate axes and changing their directions.

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