On a certain type of primitive representations of rational integers as sum of squares
It is well known that a positive integer not of the form 4a (8m+7) can be expressed as a sum of there integer squares . Dirichlet (cf . [1]) proved that a positive integer admits a primitive representation as a sum of there squares if and only if it is not of the form 8m+7 or 4m .
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1984 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/132746 |
| Acceso en línea: | https://hdl.handle.net/2445/132746 |
| Access Level: | acceso abierto |
| Palabra clave: | Optimització combinatòria Combinatorial optimization |
| Sumario: | It is well known that a positive integer not of the form 4a (8m+7) can be expressed as a sum of there integer squares . Dirichlet (cf . [1]) proved that a positive integer admits a primitive representation as a sum of there squares if and only if it is not of the form 8m+7 or 4m . |
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