It is conjectured that if c e F_p~*, then the set ({x~2 : x ? F_n~*} + c) {0} has no multiplicative decomposition of the form A'B with A, B ? F_p, |A|, |B| > 2. This conjecture seems to be beyond reach but partial results are proved. In particular, it is proved that this set has no multiplicative decomposition of the form ABC with A,B,C c F_p, |A|, |B|,|e|>2.
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机译：它被猜测，如果c e f_p〜*，则集合（{x〜2：x≤x≤* f_n〜*} + c） {0}没有与a，b的形式a'b的乘法分解？ F_P，| A |，| B | > 2.此猜想似乎无法达到，但证明了部分效果。特别地，证明该组没有与A，B，C C F_P，| A 1 |，|，| e |> 2没有倍增分解。
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