送交者: eng 于 2005-11-08, 03:09:51:
回答: 蒋春暄否定黎曼假设是个“大笑话”(稍作改动) 由 Yush 于 2005-11-08, 02:05:39:
从wikipedia的网页上可以看到,Riemann Hepothesis是说,所有Riemann Zeta Function的非平凡零点的实部必为1/2。而蒋说“黎曼假设,当S = 1/2 + ti时,有无限多个t值使得 zeta(1/2 + ti) = 0”,然后再说这是错的。事实上,蒋的这个陈述其实是对的,并且在1914年已经被证明(但这并不能证明黎曼假设,因为可能有更多的零点实部不是1/2)。
In 1914 Hardy proved that an infinite number of zeros lie on the critical line Re(s) = ½. However, it was still possible that an infinite number (and possibly the majority) of non-trivial zeros could lie elsewhere in the critical strip.