This article is cited in 15 papers

On the distribution of Frobenius numbers with three arguments

A. V. Ustinov

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: We prove the existence of the limit density distribution for normalized Frobenius numbers with three arguments. The density is found explicitly.

Keywords: Frobenius numbers, Kloosterman sums, continued fractions.

UDC: 511.335+511.336+517.524

MSC: 11D85, 11D04

Received: 14.10.2008
Revised: 23.06.2009

DOI: 10.4213/im4053

 English version: Izvestiya: Mathematics, 2010, 74:5, 1023–1049

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