Sum and Shifted-Product Subsets of Product-Sets over Finite Rings

[摘要] For sufficiently large subsets $\mathcal{A}, \mathcal{B}, \mathcal{C}, \mathcal{D}$ of $\mathbb{F}_q$, Gyarmati and Sárközy (2008)  showed the solvability of the equations $a + b= c d$ and $a b + 1 = c d$ with $a \in \mathcal{A}$, $b \in\mathcal{B}$, $c \

[学科分类] 离散数学和组合数学

[关键词] graph theory;sum-product sets;residue rings