Distribution of lattice points on hyperbolic surfaces

Volume 75 / 1996

Vsevolod Lev Acta Arithmetica 75 (1996), 85-95 DOI: 10.4064/aa-75-1-85-95

Abstract

Let two lattices $Λ', Λ'' ⊂ ℝ^s$ have the same number of points on each hyperbolic surface $|x₁...x_s| = C$. We investigate the case when Λ', Λ'' are sublattices of $ℤ^s$ of the same prime index and show that then Λ' and Λ'' must coincide up to renumbering the coordinate axes and changing their directions.

Authors

  • Vsevolod Lev

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