Gröbner bases and Diophantine analysis (Q950419)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Gröbner bases and Diophantine analysis |
scientific article; zbMATH DE number 5355934
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gröbner bases and Diophantine analysis |
scientific article; zbMATH DE number 5355934 |
Statements
Gröbner bases and Diophantine analysis (English)
0 references
22 October 2008
0 references
The author offers a new conclusion to the proof of a theorem on the number of solutions of a system of two Pell equations [\textit{M. Cipu} and \textit{M. Mignotte}, J. Number Theory 125, 356--392 (2007; Zbl 1137.11018)]. The alternative is to use Gröbner bases computations instead of more computationally demanding steps (involving Davenport's Lemma) at some point in the proof. The author suggests that this polynomial approach may be useful in the study of solutions of other systems of Diophantine equations.
0 references
generalised Pell equation
0 references
Davenport's lemma
0 references
Gröbner basis
0 references
0 references
0 references
0 references
0 references
