关于Dickson多项式g_d(x±1)的不动点问题

ON THE FIXED POINT OF DICKSON-POLYNOMIALS g_d(x±1)

完全解决了对于所有形如g_d(x^i-1)的多项式在有限域F_p上的公共不动点个数问题.还解决了对于2<P<104729的素数P,所有形如g_d(x(?)1)的多项式在有限域F_p上的公共不动点个数问题.从而,对于孙琦教授提出的猜想给予了支持性证明.

We have sloved thoroughly the problem on the common fixed point of all polynomials gd(xi-1) in Fp. In addition, we have sloved the problem on common fixed point of all polynomials gd(xi1) in Fp for some primes p, 2<p<104729. Thus, we have given backing to the Pro. Sun's guess in [1].