“ 手稿的根本准确性尚未得到证明。论文中存在许多印刷错误和手艺问题（次要围绕第11节和第12节），那些问题障碍了验证过程，我已将那些问题转发给益唐。 ”
张益唐的关于朗道-希格尔的论文出来后，吸引了群众的存眷。数学家们天然也存眷。
公家更存眷张益唐的数学家同业若何对待。
此中，陶哲轩若何评判张益唐先生的论文更是令人等待。想昔时，张益唐先生关于孪生素数的料想出来后，次要是陶哲轩等人在积极改进素数间距。
11月14日，陶哲轩给出了他对张益唐新论文的评论：
Terence Tao on 14 November, 2022 at 8:27 am
At this point the essential correctness of the manu is unconfirmed. There are a number of misprints and technical issues in the paper (mostly centering around Sections 11 and 12) that are hindering the verification process and which I have forwarded to Yitang in order to request clarification. For instance, there are references to non-existent equations (8.25) and (8.26) on pages 64, 65, 67, (10.) on page 67, (15.) on pages 98, 99, “(4) and (4)” on pages 67 and 69, “(5) and (5)” on page 63, and (A) and (14) on page 109; there also appears to be a reference missing completely just before Lemma 12.3 on page 70 (as well as the aforementioned reference to (A) on page 109), and the function that appears from page 96 onwards is never defined in the paper. As a consequence, several steps in the manu currently have no valid justification provided. It is possible that these (as well as some more serious issues) can be corrected, but it will likely take some time before the process resolves (in particular, I would not want to pressure Yitang to upload a hastily edited revision of the manu instead of a carefully proofread one), and so patience is advised.
陶哲轩的看点次要是，张益唐原文有些打印错误和手艺问题。（机器）翻译如下：
此时，手稿的根本准确性尚未得到证明。论文中存在许多印刷错误和手艺问题（次要围绕第11节和第12节），那些问题障碍了验证过程，我已将那些问题转发给益唐，以恳求廓清。例如，第64页、第65页、第67页（10.）、第98页、第99页（15.）、第67和69页“（4）和（4）”、第63页“（5）和（5）”以及第109页（A）和（14）中提到了不存在的方程式（8.25）和8.26）；在第70页的引理12.3之前，似乎还完全缺失了一个参考（以及前面提到的第109页（a）），从第96页起头呈现的函数 从未在论文中定义。因而，手稿中的几个步调目前没有供给有效的理由。那些问题（以及一些更严峻的问题）有可能得到纠正，但那一过程很可能需要一段时间才气处理（特殊是，我不想向益唐施压，要求其上传一份仓皇编纂的修订稿，而不是一份认真校对的修订稿），因而定见耐烦期待.
另有匿名读者评论陶哲轩的看点： 评得好！
Anonymous on 15 November, 2022 at 5:46 am
“in particular, I would not want to pressure Yitang to upload a hastily edited revision of the manu instead of a carefully proofread one.” Very well said. Which math publication might seek for his carefully ‘proofread’ one? Is there ANY ? Or is it too early to tell still?
现实上，张益唐在约10天前北大的演讲上，已经提到还需要填补良多细节。随便理解，张益唐先生以一人之力搏击大问题，需要特殊多的精神。
怀尔斯证明费马大定理的论文刚出来不久也有数学家发现较大的问题。但怀尔斯最末与其学生泰勒一路填补了破绽。
让我们等待完美的成果。
相关阅读：
张益唐现身知乎长篇答疑兼聊小我履历
张益唐：数学天才和他孤单的二十年
张益唐：潘（承彪）教师的必定胜于一万小我的颂扬