Distribution of lattice points on hyperbolic surfaces

Vsevolod F. Lev. "Distribution of lattice points on hyperbolic surfaces." Acta Arithmetica 75.1 (1996): 85-95. <http://eudml.org/doc/206864>.

@article{VsevolodF1996,
abstract = {Let two lattices $Λ^\{\prime \}, Λ^\{\prime \prime \} ⊂ ℝ^s$ 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.},
author = {Vsevolod F. Lev},
journal = {Acta Arithmetica},
keywords = {lattice; hyperbolic surface; distribution of lattice points; hyperbolic surfaces},
language = {eng},
number = {1},
pages = {85-95},
title = {Distribution of lattice points on hyperbolic surfaces},
url = {http://eudml.org/doc/206864},
volume = {75},
year = {1996},
}

TY - JOUR
AU - Vsevolod F. Lev
TI - Distribution of lattice points on hyperbolic surfaces
JO - Acta Arithmetica
PY - 1996
VL - 75
IS - 1
SP - 85
EP - 95
AB - Let two lattices $Λ^{\prime }, Λ^{\prime \prime } ⊂ ℝ^s$ 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.
LA - eng
KW - lattice; hyperbolic surface; distribution of lattice points; hyperbolic surfaces
UR - http://eudml.org/doc/206864
ER -