@article{ef1e7f29f551423b99183be523bcb87e,
title = "Limiting distribution of Frobenius numbers for n = 3",
abstract = "The purpose of this paper is to give a complete derivation of the limiting distribution of large Frobenius numbers with three arguments outlined in the earlier work of J. Bourgain and Ya. Sinai and fill some gaps formulated there as hypotheses.",
author = "V. Shchur and Ya Sinai and A. Ustinov",
note = "Funding Information: The proof of the main theorem is given in Section 2. First we consider the sub-ensemble QN(0) and then explain how to extend the proof to QN. Recently J. Marklof using different methods proved the existence of the limiting distribution of 11 F (a) for any n (see [3]). N1+ n−1 The second author thanks NSF for the financial support, grant DMS No. 0600996. The research of the third author was supported by Russian Foundation for Basic Research (grant No. 07-01-00306), the Far Eastern Branch of the Russian Academy of Sciences (project No. 09-I-Π4-03), Dynasty Foundation and the Russian Science Support Foundation.",
year = "2009",
month = nov,
doi = "10.1016/j.jnt.2009.04.019",
language = "English (US)",
volume = "129",
pages = "2778--2789",
journal = "Journal of Number Theory",
issn = "0022-314X",
publisher = "Academic Press Inc.",
number = "11",
}