@article{RM_2007_62_4_a2,
author = {J. Bourgain and Ya. G. Sinai},
title = {Limit behaviour of large {Frobenius} numbers},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {713--725},
year = {2007},
volume = {62},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RM_2007_62_4_a2/}
}
J. Bourgain; Ya. G. Sinai. Limit behaviour of large Frobenius numbers. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 62 (2007) no. 4, pp. 713-725. http://geodesic.mathdoc.fr/item/RM_2007_62_4_a2/
[1] V. I. Arnold, “Slabye asimptotiki chisel reshenii diofantovykh problem”, Funkts. analiz i ego prilozh., 33:4 (1999), 65–66 | MR | Zbl
[2] V. I. Arnold, “Arithmetical turbulence of selfsimilar fluctuations statistics of large Frobenius numbers of additive semigroups of integers”, Mosc. Math. J., 7:2 (2007), 173–193 | Zbl
[3] L. B. Koralov, Ya. G. Sinai, Probability theory and random processes, Springer-Verlag, 2007 | MR | Zbl
[4] J. J. Sylvester, “Mathematical questions with their solutions”, Educational Times, 41 (1884), 21 | Zbl
[5] Ya. G. Sinai, C. Ulcigrai, “Renewal-type limit theorem for the Gauss map and continued fractions”, Ergodic Theory Dynam. Systems (to appear)
[6] Ya. G. Sinai, Sovremennye problemy ergodicheskoi teorii, Fizmatlit, M., 1995 ; Ya. G. Sinai, Topics in ergodic theory, Princeton Math. Ser., 44, Princeton Univ. Press, Princeton, NJ, 1994 | Zbl | MR | Zbl