Geodesic
ON THE SOLVABILITY OF SYSTEMS OF SUM–PRODUCT EQUATIONS IN FINITE FIELDS
Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 427-435

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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.
DOI : 10.1017/S0017089511000425
Mots-clés : 05C35, 05C38, 05C55 
VINH, LE ANH. ON THE SOLVABILITY OF SYSTEMS OF SUM–PRODUCT EQUATIONS IN FINITE FIELDS. Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 427-435. doi: 10.1017/S0017089511000425
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     author = {VINH, LE ANH},
     title = {ON {THE} {SOLVABILITY} {OF} {SYSTEMS} {OF} {SUM{\textendash}PRODUCT} {EQUATIONS} {IN} {FINITE} {FIELDS}},
     journal = {Glasgow mathematical journal},
     pages = {427--435},
     year = {2011},
     volume = {53},
     number = {3},
     doi = {10.1017/S0017089511000425},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000425/}
}
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