摘要
Golomb曾提出猜想(C):存在正整数q_0,当q>q_0时,有限域GF(q)的任一非零元均可表为两本原元之和.令集合C={q;GF(q)的任一非零元均可表为两本原元之和},本文利用Jacobi和等方法证明了Gelomb猜想(C)。
S. W. Golomb proposed the conjecture (C). There exists a postiive integer q0, such that every non-zero element in GF(q) can be written as a sum of two pri-mitive roots if q>90, In this paper,we give a proof of Golomb's conjecture (C).