Lattice point counting in sectors of Hyperbolic 3-space
نویسندگان
چکیده
منابع مشابه
The Variance of the Hyperbolic Lattice Point Counting Function
The problem of estimating the number of points of a lattice that lie in a ball, is often called the circle problem. In the case of lattices in Euclidean space, this question goes back at least as far as Gauss. If we call Nρ the number of points of Z inside the ball B(0, ρ), then one easily sees that the leading term of Nρ is the area, πρ, of B(0, ρ). It is not difficult to show that the error t...
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where the indexing set Fatg,n is the space of labeled fatgraphs of genus g and n boundary components. See Section 2 for definitions of a fatgraph Γ, its automorphism group AutΓ and the cell decomposition (1) realised as the space of labeled fatgraphs with metrics. Restricting this homeomorphism to a fixed n-tuple of positive numbers (b1, ..., bn) yields a space homeomorphic to Mg,n decomposed i...
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mathematics
سال: 2017
ISSN: 0033-5606,1464-3847
DOI: 10.1093/qmath/hax004