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A decomposition of integer vectors. IV

Published online by Cambridge University Press:  09 April 2009

A. Schinzel
A. Schinzel
Affiliation:
Instytut Matematyczny Polskiej Akademii Nauk ul. Sniadeckich8 Skrytka pocztowa Nr 137 00–950 Warszawa Poland
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Abstract

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Given m linearly independent vectors n1,…, nm ∈ zk and an integer l ∈ [m, k] one proves the existence of / linearly independent vectors P1,…, P1 ∈ Zk or q1 ∈ Zk of small size (suitably measured) such that the ni's are linear combinations of pj's with rational coefficients or of qj's with integer coefficients.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 51 , Issue 1 , August 1991 , pp. 33 - 49
Copyright
Copyright © Australian Mathematical Society 1991

References

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