On Reducing a System of Equations to a Single Equation
DOI:
https://doi.org/10.7146/brics.v11i6.21831Resumé
For a system of polynomial equations over Q_p we present an efficient construction of a single polynomial of quite small degree whose zero set over Q_p coincides with the zero set over Q_p of the original system. We also show that the polynomial has some other attractive features such as low additive and straight-line complexity.The proof is based on a link established here between the above problem and some recent number theoretic result about zeros of p-adic forms.
Downloads
Publiceret
2004-03-11
Citation/Eksport
Frandsen, G. S., & Shparlinski, I. E. (2004). On Reducing a System of Equations to a Single Equation. BRICS Report Series, 11(6). https://doi.org/10.7146/brics.v11i6.21831
Nummer
Sektion
Artikler
Licens
Authors who publish with this journal agree to the following terms:- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
