# Distribution of lattice points on hyperbolic surfaces

Acta Arithmetica (1996)

- Volume: 75, Issue: 1, page 85-95
- ISSN: 0065-1036

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topVsevolod 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 -

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