Let A be the set of nonzero k-th powers in Fq and γ?(k, q) denote the minimal n such that nA = Fq. We use sum-product estimates for |nA| and |nA?nA|, following the method of Glibichuk and Konyagin to estimate γ?(k, q). In particular, we obtain γ?(k, q) ≤ 633(2k)log 4/ log |A| for |A| > 1 provided that γ?(k, q) exists.
展开▼
机译：让A成为FQ和γ的非零K-TH功率集合（k，q）表示最小的n，使得na = fq。我们使用Sum-Maper估算| NA |和| Na？Na |，按照glibichuk和Konyagin的方法来估计γ？（k，q）。特别是，我们获得γ？（k，q）≤633（2k）log 4 / log | a |为| A | > 1提供了γ？（k，q）存在。
展开▼
