On a Generalization of the Frobenius Number

被引：3

作者：

Brown, Alexander ^{[1
]}

Dannenberg, Eleanor ^{[1
]}

Fox, Jennifex ^{[1
]}

Hanna, Joshua ^{[1
]}

Keck, Katherine ^{[1
]}

Moore, Alexander ^{[1
]}

Robbins, Zachary ^{[1
]}

Samples, Brandon ^{[1
]}

Stankewicz, James ^{[1
]}

机构：

[1] Univ Georgia, Dept Math, Athens, GA 30602 USA

来源：

JOURNAL OF INTEGER SEQUENCES | 2010年 / 13卷 / 01期

基金：

美国国家科学基金会;

关键词：

Frobenius problem; counting solutions of Diophantine equations; linear integral equations;

D O I：

10.1.4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a generalization of the Frobenius problem, where the object of interest is the greatest integer having exactly j representations by a collection of positive relatively prime integers. We prove an analogue of a theorem of Brauer and Shockley and show how it can be used for computation.

引用

页数：6

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