Order Statistics in the Farey Sequences in Sublinear Time and Counting Primitive Lattice Points in Polygons
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computer Science Applications,General Computer Science
Link
http://link.springer.com/content/pdf/10.1007/s00453-008-9221-z.pdf
Reference26 articles.
1. Bach, E., Shallit, J.: Algorithmic Number Theory, vol. I: Efficient Algorithms. MIT Press, Cambridge (1996)
2. Barvinok, A.I.: A polynomial time algorithm for counting integral points in polyhedra when the dimension is fixed. Math. Oper. Res. 19(4), 769–779 (1994)
3. Beck, M., Robins, S.: Explicit and efficient formulas for the lattice point count in rational polygons using Dedekind–Rademacher sums. Discrete Comput. Geom. 27(4), 443–459 (2002)
4. Boca, F.P., Cobeli, C., Zaharescu, A.: Distribution of lattice points visible from the origin. Commun. Math. Phys. 213(2), 433–470 (2000)
5. Deléglise, M., Rivat, J.: Computing the summation of the Möbius function. Exp. Math. 5(4), 291–295 (1996)
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