所以，不要哭，没有黎曼假设依然能够有健康的生活。
So, do not cry, there is healthy life without the Riemann hypothesis.
解析数论非常幸运还有一个最为有名的未解决的问题，即黎曼假设。
Analytic number theory is fortunate to have one of the most famous unsolved problems, the Riemann hypothesis.
事实上，在人们试图回避黎曼假设时，许多有才气的想法获得进展，发现了一些绝对不可能得自黎曼假设的结果。
Actually, many brilliant ideas have evolved while one was trying to avoid the Riemann hypothesis, and results were found which cannot be derived from the Riemann hypothesis.
我自己将进一步努力获得完全信息理论性对黎曼假设的否定，但为此我还必须等待开发出更为广泛的信息数学理论。
I will try myself furthermore to obtain a disproof of RH that is entirely INFORMATION THEORETIC but for this I have still to wait to develop a broader mathematical theory of information.
在结束这次讲话时，我愿通过再次说明，数论将在无论有还是没有黎曼假设的情况下继续繁荣，来强调我对于解析数论的拥护。
In concluding this talk I wish to emphasize my advocacy for analytic number theory by saying again that the theory flourishes with or without the Riemann hypothesis.
此外，如蒋教授在其论文中正确表明的那样，黎曼假设曾经被假定为无数数学假想的基础，现在却被蒋教授所否定并被他证明的结构所取代。
Also, as Prof. Jiang correctly indicates in the paper, Riemann's hypothesis has been assumed at the foundation of numerous mathematical conjectures that are now all disproved and replaced by Prof.
此外，如蒋教授在其论文中正确表明的那样，黎曼假设曾经被假定为无数数学假想的基础，现在却被蒋教授所否定并被他证明的结构所取代。
Also, as Prof. Jiang correctly indicates in the paper, Riemann's hypothesis has been assumed at the foundation of numerous mathematical conjectures that are now all disproved and replaced by Prof.
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