Back to Search
Start Over
ON THE SOLVABILITY OF SYSTEMS OF SUM–PRODUCT EQUATIONS IN FINITE FIELDS
- Source :
- Glasgow Mathematical Journal. 53:427-435
- Publication Year :
- 2011
- Publisher :
- Cambridge University Press (CUP), 2011.
-
Abstract
- In an earlier paper, for ‘large’ (but otherwise unspecified) subsets , , , of q, Sárközy showed the solvability of the equations a + b = cd with a ∈ , b ∈ , c ∈ , d ∈ . This equation has been studied recently by many other authors. In this paper, we study the solvability of systems of equations of this type using additive character sums.
Details
- ISSN :
- 1469509X and 00170895
- Volume :
- 53
- Database :
- OpenAIRE
- Journal :
- Glasgow Mathematical Journal
- Accession number :
- edsair.doi...........828c470240d3848b6e4a6ba36a71b081