Distribution of lattice points on hyperbolic surfaces
Vsevolod F. Lev
Acta Arithmetica, Tome 76 (1996), p. 85-95 / Harvested from The Polish Digital Mathematics Library
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Let two lattices Λ',Λ''⊂ℝs have the same number of points on each hyperbolic surface |x₁...xs|=C. We investigate the case when Λ’, Λ” are sublattices of ℤs of the same prime index and show that then Λ’ and Λ” must coincide up to renumbering the coordinate axes and changing their directions.

Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:206864 
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     author = {Vsevolod F. Lev},
     title = {Distribution of lattice points on hyperbolic surfaces},
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     volume = {76},
     year = {1996},
     pages = {85-95},
     zbl = {0844.11044},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav75i1p85bwm}
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Vsevolod F. Lev. Distribution of lattice points on hyperbolic surfaces. Acta Arithmetica, Tome 76 (1996) pp. 85-95. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav75i1p85bwm/