Frobenius exchange problem on competitions and in classroom
dc.contributor.author | Kiss, Géza | |
dc.date.accessioned | 2024-09-04T09:44:43Z | |
dc.date.available | 2024-09-04T09:44:43Z | |
dc.date.issued | 2003-12-01 | |
dc.description.abstract | Let a_1, ..., a_n be relatively prime positive integers. The still unsolved Frobenius problem asks for the largest integer which cannot be represented as Σ x_i a_i with non-negative integers xi, and also for the number of non-representable positive integers. These and several related questions have been investigated by many prominent mathematicians, including Paul Erdős, and a wide range of partial results were obtained by various interesting methods differing both in character and difficulty. In this paper we give a self-contained introduction to this field through problems and comments suitable also for treatment in a class of talented students. | en |
dc.format | application/pdf | |
dc.identifier.citation | Teaching Mathematics and Computer Science, Vol. 1 No. 2 (2003) , 203-218 | |
dc.identifier.doi | https://doi.org/10.5485/TMCS.2003.0024 | |
dc.identifier.eissn | 2676-8364 | |
dc.identifier.issn | 1589-7389 | |
dc.identifier.issue | 2 | |
dc.identifier.jatitle | Teach. Math. Comp. Sci. | |
dc.identifier.jtitle | Teaching Mathematics and Computer Science | |
dc.identifier.uri | https://hdl.handle.net/2437/379505 | |
dc.identifier.volume | 1 | |
dc.language | en | |
dc.relation | https://ojs.lib.unideb.hu/tmcs/article/view/14695 | |
dc.rights.access | Open Access | |
dc.rights.owner | Géza Kiss | |
dc.subject | Frobenius problem | en |
dc.subject | diophantine equation | en |
dc.subject | mathematical competitions | en |
dc.title | Frobenius exchange problem on competitions and in classroom | en |
dc.type | folyóiratcikk | hu |
dc.type | article | en |
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