The asymptotic distribution of lattice points in hyperbolic space
نویسندگان
چکیده
منابع مشابه
On the distribution of Farey fractions and hyperbolic lattice points
We derive an asymptotic formula for the number of pairs of consecutive fractions a′/q′ and a/q in the Farey sequence of order Q such that a/q, q/Q, and (Q − q′)/q) lie each in prescribed subintervals of the interval [0, 1]. We deduce the leading term in the asymptotic formula for ’the hyperbolic lattice point problem’ for the modular group PSL(2,Z), the number of images of a given point under t...
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This is one form of Kronecker’s theorem [4-j aura, since N can be chosen arbitrarily large, it follows that there are an infinity of integer sets (x, yl, -. . , y,) with x > 0 satisfying (A). For n > 2, it is not possible to strengthen this result by replacing the & in (A), throughout, by any function y/(x) which tends to zero as x-m (see, e.g., 15) , Kap VII,37, Satz 6). But, in the case n = 1...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1979
ISSN: 0022-1236
DOI: 10.1016/0022-1236(79)90007-7