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Refinement of the pseudo-solutions of a system of linear equations

โœ Scribed by F. Drygalla


Publisher
Elsevier Science
Year
1982
Weight
448 KB
Volume
22
Category
Article
ISSN
0041-5553

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The Number of Solutions of Bounded Heigh
โœ J.L. Thunder ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 593 KB

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