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A lattice method for the orthogonalisation of the solution of systems of simultaneous linear algebraic equations with a large number of unknowns

✍ Scribed by Chzhen Tan


Publisher
Elsevier Science
Year
1962
Weight
594 KB
Volume
1
Category
Article
ISSN
0041-5553

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The Number of Solutions of Bounded Heigh
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We count the number of solutions with height less than or equal to \(B\) to a system of linear equations over a number field. We give explicit asymptotic estimates for the number of such solutions as \(B\) goes to infinity, where the constants involved depend on the classical invariants of the numbe