Regarding the Eight Trigrams (gossip) deficient mathematics circles, any research development about Riemann hypothesis, will be discussed the period of time animatedly. 对于八卦匮乏的数学界来说,任何关于黎曼猜想的研究进展,都会被人们津津乐道地谈论好一阵子。 This regarding mathematical Sacred place Los Angeles University Berkeley Branch school Math department of West coast, is no exception similarly. 这对于西海岸的数学圣地洛杉矶大学伯克利分校数学系而言,同样也不例外。 Hangs up the arxiv earliest possible time in Professor land the pre- printed book of that paper, about the would-be Riemann hypothesis was shown the news then flies everywhere is, looks for a cafe to sit casually, can hear some people to discuss excitedly difficult problem that this continued a century. 早在陆教授的那篇论文的预印本挂上arxiv的第一时间,关于准黎曼猜想被证明消息便飞得到处都是,随便找一间咖啡厅坐着,都能听见有人在兴奋地讨论着这个延续了一个世纪的难题。 „Did you hear? The would-be Riemann hypothesis was proven!” “你听说了吗？准黎曼猜想被证明了！” „Had only heard, was too unbelievable, for a century no one can the right side boundary of critical belt/bring translate toward left, even if a wee bit!” “刚刚听说过了,太难以置信了,一个世纪以来都没有人能将临界带的右侧边界向左平移哪怕一丁点！” „The research about this direction directly caused the proof of prime number theorem previous time, does not know that this land faculty brings anything to us time.” “上一次关于这个方向的研究直接导致了素数定理的证明,不知道这一次陆教授会给我们带来什么。” „Yeah, if I can have Professor land half of intelligence quotients to be good.” “哎,要是我能有陆教授一半的智商就好了。” „Awakes, do not have a dream!” “醒醒,别做梦了！” Incessantly is the student of Berkeley Branch school Math department, about this matter, the professors is also whooping. 不止是伯克利分校数学系的学生,关于这件事情,教授们也在议论纷纷着。 Although the analytic theory of numbers is not the domineering direction of Berkeley Branch school, here is partial in partial differential equation some on the other hand, scholar but who is not skilled in regarding Terence Tao this almost no domain, will not naturally miss the flash news of mathematics circles. 虽然解析数论并非是伯克利分校的强势方向,相对来说这里还是更偏向于偏微分方程一些,但对于陶哲轩这种几乎没有哪个领域不精通的学者来说,自然是不会错过数学界的大新闻。 The office of Berkeley Branch school Math department, sits before piling up with the desk of scratch paper, the hand is relaying Terence Tao of ball pen, is deeping frown is staring on the table that writing dense and numerous theory stationery, because is really extremely dedicated, has not heard including behind knock. 伯克利分校数学系的办公室,坐在堆满草稿纸的书桌前,手中转着圆珠笔的陶哲轩,正眉头紧锁地盯着桌上那张写的密密麻麻的论文纸,因为实在是太过专注,以至于连身后的敲门声都没有听到。 The knock continued to make a sound a while, then the gate shoved open directly, an appearance thin and tall Asian man, carried one box of pizza to illuminate. From his skilled movement, should be the doctor in this office. 敲门声继续响了一会儿,尔后门直接推开了,一位模样瘦高的亚裔男子,拎着一盒披萨照了进来。从他熟练的动作来看,应该是这间办公室里的博士。 „Professor, pizza that you order.” “教授,您点的披萨到了。” Has not gained ground, Terence Tao turns away from him to speak thoughtlessly to say. 没有抬头,陶哲轩背对着他随口说道。 „One side helps me place good.” “帮我放在一边就好。” „Good, although I recommended you to eat before it's too late,” placed on the pizza the table, this postgraduate candidate looked in front of a boss that scratch paper, asked curiously, „that did I look at you topic on mathoverflow...... you still to study that paper this morning?” “好的,虽然我推荐您趁热吃了,”将披萨放在了桌子上,这位博士生看了一眼老板面前的那张草稿纸,好奇地问了一句,“那个,今天早晨我看了您在mathoverflow上的话题……您还在研究那篇论文吗？” Terence Tao: „Yes.” 陶哲轩:“是的。” Swallowed a saliva, the postgraduate candidate asked with the tone of anticipation. 咽了口唾沫,那博士生用期待的语气问道。 „Had the result?” “有结果了吗？” „If any I will tell you.” “如果有的话我会告诉你。” „Good.” Is hearing this desolate sound, that postgraduate candidate spat under the tongue, lived to make a helpless expression, withdrew from out of the door. “好吧。”听着这冷淡的声音,那个博士生吐了下舌头,生做了个无奈的表情,退出了门外。 Generally speaking Professor Tao are quite amiable, moreover is in many big cows of Berkeley Branch school, a few can with the professor who the students become integrated with. 一般来说陶教授都是比较平易近人的,而且算是伯克利分校的诸多大牛中,少数会和学生们打成一片的教授。 However, this is also the sub-field gathers. 然而,这也是分场合的。 Generally speaking, when he by what issue perplexing, even his wife comes not to count on that he can display warmly...... 一般来说,当他被什么问题给难住的时候,就算是他的老婆来了也别指望他能表现得有多热情…… „Interesting.” “有点意思。” „The method of introduction algebra Geometry study, can see Grothendieck work in his paper the shadow, but is not specially obvious.” “引入代数几何学的方法,在他的论文中能够看到格罗滕迪克著作的影子,但又不是特别明显。” „Actually does key lie in the complex planes the selection of algebraic curve...... he how wants to come out?” “关键在于复平面上代数曲线的选取……他究竟是怎么想出来的？” „Moreover...... can this method really call it the proof?” “而且……这种方法真的能称之为证明吗？” By the office chair, stared at top of the head that to fall the full dust the ceiling fan, Terence Tao somewhat troublesome flexure the back of the head. 靠在了办公椅上,盯着头顶那落满灰尘的吊扇,陶哲轩有些伤脑筋地挠了挠后脑勺。 He will rarely puzzle such for a matter. 他很少会为一件事情困扰如此之久。 The ball pen selected on the paper gently, hesitated some little time, he spat a few words seriously. 圆珠笔轻轻在纸上点了点,沉吟了好一会儿,他才面色凝重地吐出来一句话。 „Is controversial.” “存在争议。” However these words use is not the affirmative tone, when treating this issue, he had no way to be self-confident like before rarely. 然而这句话所用的并非是肯定的语气,在对待这个问题时,他罕见地没法像以前那样自信了。 „Was I misreads......” “是我看错了吗……” Such that really such as he thinks, is the proof the existing problem? 还是真的如他所想的那样,证明是存在问题的？ ...... …… Then, when previous time receives Vera's mail, Lu Zhou is not quite clear. 说起来,上次是什么时候收到薇拉的邮件,陆舟已经记不太清楚了。 Perhaps is one year ago? 也许是一年前？ Perhaps is remote point matter. 也许是更久远一点的事情。 Obviously, is studying Riemann hypothesis Vera, very natural saw he in that pre- printed book that on arxiv hangs, and should be spends the time study, and from this had some questions. 很显然,正在研究黎曼猜想的薇拉,很自然地看到了他在arxiv上挂出来的那篇预印本,并且应该是花时间研究了一遍,并且由此而产生了一些疑问。 A lot are very difficult to discuss clearly in the mail, two people agree in the next day going to the capital time in the evening 8 o' clock, conducts the video call. 很多事情在邮件中是很难讨论清楚的,两人约定在次日上京时间晚上八点,进行视频通话。 Thereupon...... 于是乎…… Three years later, Lu Zhou saw again he most self-satisfied, most made his have mixed feelings disciple. 时隔三年,陆舟再一次见到了他最得意、也是最令他心情复杂的弟子。 Although is away from a mesh wire...... 虽然隔着一条网线…… Next day evening's 8 o' clock entire, the screen telephone conversation opens. 次日晚上八点整,视屏通话打开。 Made. the coffee to sit in the study room, Lu Zhou prepared discussion academic issue, but the atmosphere was actually the somewhat unexpected stiff cup 冲了杯咖啡坐在书房里,陆舟原本是做好了探讨学术问题的准备,但气氛却是有些意料之外的僵硬。 As if suppressed many words to plan little miss who must say, this little while seemed like does not know how should open the mouth, such a face sat there tight, stared stares at the computer screen not to speak. 似乎憋了很多话打算要说的小姑娘,这会儿又像是不知道该如何开口了,就这么一脸紧张地坐在那里,直勾勾地盯着电脑屏幕不说话。 But when a Vera face looks at Lu Zhou in video disturbedly, similarly is looking at Vera's Lu Zhou, the expression on this moment face is also the somewhat subtle awkwardness. 而就在薇拉一脸忐忑地看着视频中的陆舟的时候,同样在看着薇拉的陆舟,此刻脸上的表情也是有些微妙的尴尬。 Golden beautiful hair combed the fine princess pigtail, bringing near the silk long skirt to outline the shoulder beautiful curve, even if could not distinguish clearly among red numbers Lu Zhou difference still to look, this appearance was not the daily makeup accommodates obviously, has obviously dressed up carefully. 金色的秀发梳成了精致的公主辫,带丝边的长裙勾勒出了肩膀姣好的曲线,即便是分不清口红色号之间的区别的陆舟也能看出来,这副模样显然不是日常的妆容,明显是精心打扮过的。 The words saying that what at this time should say? 话说这时候该说些什么？ For a long time doesn't see? 好久不见？ As if was a little desolate. 似乎有点冷淡了。 Is your new hairstyle very good? 你的新发型很不错？ Always felt that can have the unnecessary misunderstanding...... 总感觉会产生不必要的误会…… Coughed gently, Lu Zhou made the official expression diligently, said with the clear sound. 轻轻咳嗽了一声,陆舟努力做出了正式的表情,用清晰的声音开口说道。 „Where directly enters the subject...... to make me have a look at your question to be.” “直接进入正题吧……让我看看你的疑问在哪。” Exchanges greetings will instead make the atmosphere with the smalltalk somewhat stiff, everyone does the math, directly enters the subject, perhaps will instead make the atmosphere slightly more relaxed. 寒暄和客套反而会让气氛变得有些僵硬,大家都是搞数学的,直接进入正题,说不定反而会让气氛稍微轻松一些。 Really, as these words say, atmosphere in the video call was slightly gentle some. 果然,随着这句话说出口,视频通话中的气氛稍微柔和了些许。 Sits also relents in Vera of computer that head, the chicken pecking meter/rice nods, said low voice. 坐在电脑那头的薇拉也是松了口,紧接着小鸡啄米似地点了点头,小声说道。 „Un un, please, please wait a bit......” “嗯嗯,请,请稍等……” Saying, the little miss setting out half step arrived one side, the nearby from classroom drags an intention wrote all over the blackboard with effort. 说着,小姑娘起身快步走到了一边,费力地从教室的边上拖过来了一张用心写满了的黑板。 Saw that all various professions mathematical formula on blackboard, Lu Zhou stares slightly, in the eye flashed through surprised quickly, immediately expression gradually earnest. 看到黑板上的那一行行算式,陆舟微微愣了一下,眼中很快闪过一丝惊讶,随即表情渐渐认真了起来。 Looks Lu Zhou that is lost in thought that Vera clears throat , to continue to say low voice, „this is you when the algebra Geometry study method of the certificate would-be Riemann hypothesis using, I tried to induce from the issue the method.” 看着陷入沉思的陆舟,薇拉清了清嗓子,小声继续说道,“这是您在证明准黎曼猜想时用到的代数几何学方法,我试着将方法从问题本身中归纳了出来。” Glanced over the content on blackboard fast, the Lu Zhou applause nodded, gave the affirmative appraisal. 将黑板上的内容快速浏览了一遍,陆舟赞许地点了点头,给予了肯定的评价。 „Does, good.” “做的,不错。” Worthily is the apprentice who he teaches. 不愧是他教出来的徒弟。 Can reorganize these things, is not quite easy. 能将这些东西整理出来,已经相当不容易了。 Vera smiles embarrassed: „Although Morina...... Ms. Abbel makes me with you do not exchange these issues, but I thought...... and your symposium is quite good.” 薇拉不好意思地笑了笑:“虽然莫丽娜……阿贝尔女士让我不要和您交流这些问题,但我还是觉得……和您讨论会比较好。” Exchanges this idea with the talent is actually a risky matter, because the academic circle only recognizes the achievement, where does not recognize „idea” to come. 和天才交流这种想法其实是一件充满风险的事情,因为学术界是只认成果,不认“idea”是从哪里来的。 Therefore let alone is some seems like the quite interesting idea, even if sometimes will mount to withstand/top the publication the periodic result to be pressed by author sufficiently is not sending...... if he will have the ambition to a even higher goal, but itself will also not be the scholar who that type will be indifferent to fame and fortune and does not care about the status. 因此别说是一些看上去比较有趣的想法,有时候就算是足以登上顶刊的阶段性成果都会被作者自己压着不发……如果他对更高等的目标存在野心,而本身又不属于那种淡泊名利、不在意名分的学者的话。 , Vera exchanged the earnest expression , to continue to say. 顿了顿,薇拉换上了认真的表情,继续说道。 „I carefully was studying you when the proof, when the E value is infinitesimal, in the re (s ) ≥ 1-e region does not have Zeta function the non-vanishing ordinary point the algebraic curve that on galois field said that and according to Zeta (s ) = 2 Γ ( 1-s)( 2 π) s-1 sin( πs / 2) Zeta ( 1-s ) nature obtained......” “我在仔细研究了您在证明当e取值无限小,re(s)≥1-e的区域内不存在ζ函数的非零平凡点时引入的有限域上的代数曲线,并且根据ζ(s)=2Γ(1-s)(2π)s-1sin(πs/二)ζ(1-s)的性质得到了……” Saying, Vera turned around to the blackboard, in blank position that the corner place left, wrote an all various professions mathematical formula. 说着,薇拉转身面向了黑板,在边角处留出的空白位置,写出了一行行算式。 Looks at Vera's blackboard writing on blackboard, the Lu Zhou brow wrinkles slightly, but soon had to relax. 看着薇拉在黑板上的板书,陆舟眉头微微皱起,不过很快有松弛了开来。 He had roughly understood Vera's mentality. 他已经大致了解了薇拉的思路。 She in oneself showed that method in foundation, through homology group the method of mapping, gave planherel formula in the kind of list connected nilpotent lie group...... is conducted certain improvement to his group construction law in brief, then utilized to the enlargement of E value. 她在自己证明方法的基础上,通过同调群的映射的方法,给出一类单连通幂零lie群上的planherel公式……简而言之就是对他的群构法进行了一定的改良,然后运用到了对e数值的放大上。 Walks randomly the chalk on blackboard stops, Vera who has turned round gradually smiles shyly. 游走在黑板上的粉笔渐渐停下,回过身来的薇拉腼腆地笑了笑。 „Is probably accepted through this method, but I only achieved half. I think , if you, certainly can find the reason......” “通过这种方法大概是行得通的,但我只做到一半就进行不下去了。我想如果是您的话,一定能找到原因……” „Therefore......, if can help your on busily be good.” “所以……要是能帮您的上忙就好了。” The last few words, Vera's voice is very small, to her is not quite definite, whether Lu Zhou of video that head really hears. 最后一句话,薇拉的声音很小,小到她自己都不太确定,视频那头的陆舟是否真的有听到。 Stared at the mathematical formula on blackboard to look at a while earnestly, sat there Lu Zhou motionlessly, suddenly said. 盯着黑板上的算式认真看了一会儿,一动不动坐在那里的陆舟,忽然开口说道。 „You know why couldn't find the reason?” “你知道为什么找不到原因吗？” Gawked slightly, Vera asked subconsciously. 微微愣了下,薇拉下意识问道。 „...... Why?” “……为什么？” On the face had the regrettable expression, Lu Zhou to say the fact. 脸上带着遗憾的表情,陆舟说出了事实。 „Because of the group construction law, cannot prove this issue.” “因为群构法,是证不出来这个问题的。” Vera: „......?” 薇拉:“……？”