Geodesic
Distribution of lattice points on hyperbolic surfaces
Acta Arithmetica, Tome 75 (1996) no. 1, pp. 85-95

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/aa-75-1-85-95
Keywords: lattice, hyperbolic surface

Vsevolod Lev 1

1 
@article{10_4064_aa_75_1_85_95,
     author = {Vsevolod Lev},
     title = {Distribution of lattice points on hyperbolic surfaces},
     journal = {Acta Arithmetica},
     pages = {85--95},
     publisher = {mathdoc},
     volume = {75},
     number = {1},
     year = {1996},
     doi = {10.4064/aa-75-1-85-95},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa-75-1-85-95/}
}
TY  - JOUR
AU  - Vsevolod Lev
TI  - Distribution of lattice points on hyperbolic surfaces
JO  - Acta Arithmetica
PY  - 1996
SP  - 85
EP  - 95
VL  - 75
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa-75-1-85-95/
DO  - 10.4064/aa-75-1-85-95
LA  - en
ID  - 10_4064_aa_75_1_85_95
ER  - 
%0 Journal Article
%A Vsevolod Lev
%T Distribution of lattice points on hyperbolic surfaces
%J Acta Arithmetica
%D 1996
%P 85-95
%V 75
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/aa-75-1-85-95/
%R 10.4064/aa-75-1-85-95
%G en
%F 10_4064_aa_75_1_85_95
Vsevolod Lev. Distribution of lattice points on hyperbolic surfaces. Acta Arithmetica, Tome 75 (1996) no. 1, pp. 85-95. doi: 10.4064/aa-75-1-85-95

Cité par Sources :