Successive Minima and Best Simultaneous Diophantine Approximations

• Autores: Iskander Aliev, Martin Henk
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 147, Nº 2, 2006, págs. 95-101
• Idioma: inglés
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• Resumen

  • We study the problem of best approximations of a vector by rational vectors of a lattice whose common denominator is bounded. To this end we introduce successive minima for a periodic lattice structure and extend some classical results from geometry of numbers to this structure. This leads to bounds for the best approximation problem which generalize and improve former results.