„Isn't?” “都不是？” Morina was shocked. 莫丽娜愣住了。 Calms down, she looks at Lu Zhou, said with the suspicion tone: „I know that you are a talent......, although the Goldbach's conjecture is not my research area, but if I have not misunderstood, you should not plan to overthrow the rework this work for a century?” 定了定神,她看着陆舟,用怀疑地口吻说道:“我知道你是个天才……虽然哥德巴赫猜想并非我的研究领域,但如果我没听错的话,你该不会是打算将这一个世纪来的工作推翻重做吧？” Lu Zhou smiles lightly, said with the tone with ease. 陆舟淡淡笑了笑,用轻松地口吻说道。 „The ab issue in the final analysis is complex indication to Goldbach's conjecture, namely each big even number n may the table be ab, A and B prime factor integer does not surpass A and B respectively. When ab1, this issue will return to the initial indication after all, namely any one was bigger than 2 even numbers to write the sums of two prime number.” “ab的问题归根结底是一种对哥德巴赫猜想的复杂表述,即每个大偶数n都可表为ab,其中a和b的素因子个数分别不超过a和b。而当ab1时,这个问题终归还是会回到最初的表述中,即任一大于二的偶数都可写成两个素数之和。” The integer of prime number factor is 1, naturally is the prime number. 素数因子的个数是一,自然便是素数。 Therefore 11 forms, after all Goldbach's conjecture. 所以11的形式,终归还是哥德巴赫猜想本身。 Morina with teasing the tone said, „you mean this for a century, are the people who study the Goldbach's conjecture doing not studiously?” 莫丽娜用调侃的语气说道,“你的意思是这一个世纪来,研究哥德巴赫猜想的人都在做无用功？” „Of course not,” Lu Zhou shakes the head, suddenly ejected one in her unexpected issue, „do you know about the sports?” “当然不是,”陆舟摇了摇头,忽然抛出了一个在她意料之外的问题,“你对体育了解吗？” Morina gawked slightly, knits the brows: „Sports?” 莫丽娜微微愣了下,皱眉道:“体育？” Lu Zhou: „Long jump knows.” 陆舟:“跳远知道吧。” Morina curls the lip, speechless say/way: „Naturally.” 莫丽娜撇了撇嘴,无语道:“当然。” Lu Zhou smiles lightly, said: The ab proof law that „Brown opens, is equivalent to the approach before long jump. Although the approach time does not include the result, but the approach is useless? The similar truth, ab is equivalent to the Goldbach's conjecture the approach. If not because of it, will not have afterward big sieve method analytic theory of numbers research tool that is full of the instructive and potential. Even can say, the value of big sieve method, has exceeded the Goldbach's conjecture.” 陆舟淡淡笑了笑,说:“布朗开启的ab证明法,就相当于跳远前的助跑。虽然助跑时间本身不计入成绩,但助跑是无用的吗？同样的道理,ab就相当于哥德巴赫猜想的助跑。如果不是因为它,也不会有后来的大筛法这门充满启发性与潜力的解析数论研究工具。甚至可以说,大筛法的价值,已经超越了哥德巴赫猜想本身。” Regardless of big sieve method whether really can span final 11, it has completed oneself historical mission, and plays the important role in the analytic theory of numbers. 无论大筛法是否真的能跨越最后的11,它都已经完成了自己的历史使命,并且在解析数论中扮演重要的角色。 Including Lu Zhou, benefits greatly. 包括陆舟,都从中受益匪浅。 Pulled up under near the ear long hair, Morina looks at Lu Zhou: „Therefore, how you do plan to show?” 撩了下耳边的长发,莫丽娜看着陆舟:“所以,你打算如何证明？” The corners of the mouth of Lu Zhou brought back a self-confident smiling face. 陆舟的嘴角勾起了一丝自信的笑容。 „Naturally, uses own method proof.” “当然,是用自己的方法证明。” Why does not know. 不知道为什么。 Saw on his face the self-confident smiling face, the Morina heartbeat accelerated inexplicably such two seconds. 看到他脸上自信的笑容,莫丽娜的心跳莫名地加速了那么两秒。 Naturally, has decided to marry the math regarding one woman, that so-called heartbeat acceleration, merely is the flash...... 当然了,对于一个已经决定嫁给数学的女人来说,那所谓的心跳加速,也仅仅是一瞬间而已…… ...... …… A solution of conjecture, what need is accumulation of work load, as well as a creative talent. 一个数学猜想的解决,需要的是工作量的累计,以及一位富有创造力的天才。 Both are indispensable. 两者缺一不可。 Like the Fermat big theorem. 就像费马大定理。 After the Gushan will village suspects was proven, although people could not have seen the concrete prospect, but in all person hearts has several, because can solve the problem the tool to appear. Really, Andrew Wiles, finally completed this historical work. 当谷山志村猜想被证明后,尽管人们还看不到具体的前景,但所有的人心中都有数了,因为一个可以解决问题的工具已经出现了。果然,安德鲁怀尔斯,最终完成了这一历史性的工作。 But regarding the Goldbach's conjecture, big sieve method or circle method, almost this feeling. 但对于哥德巴赫猜想而言,无论是大筛法还是圆法,都差一点这种感觉。 The work of predecessor prepared many ground, but from „99” to „12” the Chen theorem, is the proof of Herve Gott's under Goldbach weak suspicion to the odd number condition, only misses the last step. Even the significance of Chen theorem, what are more is allows other mathematicians to understand, big sieve method road had been achieved the pinnacle by Chen Jingrun, this road has walked does not pass. 前人的工作做了很多铺垫,但无论是从“99”到“12”的陈氏定理,还是赫尔夫戈特对奇数条件下哥德巴赫弱猜想的证明,都只差最后一步。甚至于陈氏定理的意义,更多的是让其它数学家了解到,大筛法这条路已经被陈景润做到了极致,这条路已经走不通了。 The circle method is also same. 圆法也是一样。 Also because of the similar reason, in the speech of last year 's end, Herve Gott with „about proved the Goldbach's conjecture completely, we also had a long way to go” as the final concluding remark, expressed itself unable to solve Bach to suspect that to the short-term in did not have the hope. 也正是因为同样的理由,在去年年终的演讲上,赫尔夫戈特才用“关于完全证明哥德巴赫猜想,我们还有很长的路要走”作为最后的结束语,表达自己对短期内解决不了巴赫猜想不抱希望。 At least, does not have the hope to the circle method. 至少,对圆法不抱希望。 Lu Zhou starts to reconsider, was these two methods entered the impasse. 陆舟不禁开始反思,是不是这两种方法都走进了死胡同。 When he studied Twin Prime Conjecture initially, has faced similar issue. 他当初研究孪生素数猜想时,也面临过类似的问题。 stretch/open Yitang the research through selected the lambda function ingeniously, prime number to the spacing definition in 70 million, the successor reduced in one year this digit 246, is not then able the inch to go a step further. 张益唐的研究通过巧妙地选取选取了lambda函数,将素数对的间距限定在了七千万,后继者在一年之内将这个数字缩小到了246,然后便无法寸进一步。 The Lu Zhou initial mentality is to also select an appropriate lambda function, but after undergoing the innumerable attempts, finally discovered this road walks does not pass. 陆舟最初的思路也是选取一个恰当的lambda函数,但经过了无数次的尝试之后,最终还是发现这条路走不通。 The lambda function that can choose was really many, how but regardless of he sought, could not find just right that. 可以选择的lambda函数实在是太多了,但无论他如何寻找,都找不到恰到好处的那一个。 Until, he in the inspiration condition, tried an entirely different proof line, introduced in the analysis situs theory the concept of sieve method, opened the front door of new world. 直到,他在启发状态下,尝试了一条截然不同的证明思路,将拓扑学理论引入到了筛法的概念中,才打开了新世界的大门。 Although this mentality is Professor Selberg 95 years of that about the paper of Goldbach's conjecture research in first mentioned that but performs the improvement and introduction to it the prime number to the issue in is actually he. 虽然这条思路是泽尔贝格教授95年那篇关于哥德巴赫猜想研究的论文中最先提到的,但对它加以改进并引入到素数对问题中的却是他自己。 Introduced the knowledge of group theory to Lu Zhou again afterward based on this, the prime number of limited distance to advancing infinitely, based on this solved Polignac suspicion, this method had been changed to transform changing beyond all recognition that by two demons, deviated the original condition of sieve method completely. 再到后来陆舟在此基础上引入了群论的知识,将有限距离的素数对推到无限,在此基础上解决了波利尼亚克猜想,这种方法已经被两次魔改改造的面目全非,完全偏离了筛法的原貌。 Therefore Lu Zhou engraved a new name own weapon to this, namely „group construction law”. 因此陆舟给这把属于自己的武器刻上了一个新的名字,即“群构法”。 When pondered that Goldbach's conjecture, the inertia thought made him selectively neglect own tool. 但是在思考哥德巴赫猜想的时候,惯性思维却让他选择性地忽略掉了自己的工具。 Superficially the group construction law seems to have no relations with the Goldbach's conjecture, but it evolves to come from the sieve method from the root, and throughout goes for the solution prime number issue. 表面上看群构法似乎和哥德巴赫猜想没有任何关系,但从根源上它正是从筛法演变而来,并且始终为解决素数问题而去。 So long as the additional improvement, not necessarily cannot this tool, for with for the Goldbach's conjecture of prime number issue. 只要加改进,未必不可以将这项工具,用于同为素数问题的哥德巴赫猜想上。 When this mathematics method by the unceasing improvement, was improved to solve many problems sufficiently, improved to turn into the Swiss Army knife from the toothpick, its significance possibly then no longer was a pure tool, but gradually evolved a theory frame! Moreover is theory frame in the analytic theory of numbers! 当这种数学方法被不断的完善,完善到足以解决很多问题,完善到从牙签变成了瑞士军刀,它的意义可能便不再是一种单纯工具,而是逐渐演变成一种理论框架！而且是解析数论中的理论框架！ Like mathematics circles famous „two sickness” Shinichi Mochizuki, with „extraterrestrial keeps a promise the entire pure structure” to be the same when „the universe border teihmuller theory of” studying the ab suspicion creating. 就像数学界有名的“中二病”望月新一,在研究ab猜想时创造的“宇宙际teihmuller理论”和“外星算数全纯结构”一样。 First establishes the theory to prove the theory again the value, during research specific mathematical problem develops the novel theory, has the precedent to follow. 无论是先建立理论再去证明理论的价值,还是在研究具体数学问题的同时发展出新颖的理论,都是有先例可循的。 From the Goldbach's conjecture, Lu Zhou saw the hope indistinctly. 从哥德巴赫猜想中,陆舟隐约看到了希望。 ...... …… Comes out after the diet club, Lu Zhou as usual, after not having finished eating the food, goes to the library later, but went to Princeton Higher Research institute. 从饮食俱乐部出来之后,陆舟没有像往常一样,吃完饭后去图书馆待一会儿,而是去了普林斯顿高等研究所。 Although he has not made an appointment, but according to the view of Professor Durling , 6 : 00 pm to 8 points these days he can if as expected here. 虽然他并没有预约,但根据德林教授自己的说法,不出意外的话,每天晚上六点到八点的这段时间里他都会在这里。 Knocked the gate of office, Lu Zhou walked. 敲开办公室的门,陆舟走了进去。 Stopped the ball pen in hand, Professor Deligne looked that to stood in desk opposite Lu Zhou, relaxed asking. 停下了手中的圆珠笔,德利涅教授看向了站在办公桌对面的陆舟,语气轻松的问道。 „Have you considered?” “你已经考虑好了？” Lu Zhou nods, said. 陆舟点了点头,说道。 „Yes, I planned that continues to complete own research...... to be sorry very much, I possibly have no way to extract the unnecessary energy to join your topic.” “是的,我打算继续完成自己的研究……很抱歉,我可能没法抽出多余的精力加入您的课题。” Deligne nods, has therefore not produced is discontented. 德利涅点了点头,并没有因此而产生不满。 Sits in his position, very difficult like the boss of common postgraduate candidate petty, tests the student with some bored tests whether „obedient”. Just like he said from the beginning, he provided two choices to Lu Zhou. 坐在他这个位置,很难像一般博士生的老板那样心胸狭窄,用一些无聊的考验试探学生是否“听话”。正如他一开始说的,他向陆舟提供了两种选择。 Deligne: „I respect your choice, but as your teacher, what I needs to understand your research subject is?” 德利涅:“我尊重你的选择,不过作为你的导师,我需要了解一下你的研究课题是什么？” Lu Zhou replied truthfully: „Goldbach's conjecture.” 陆舟如实回答:“哥德巴赫猜想。” Deligne nods, has not expressed to the topic that he studies like Morina with amazement, on the face that sloppy ordinary calm, was lets eject this proposition on the contrary accidentally/surprisingly Lu Zhou. 德利涅点了点头,并没有像莫丽娜那样对他研究的课题表示惊讶,脸上那稀松平常的淡定,反倒是让抛出这个命题的陆舟意外了一下。 ...... 难道…… The Deligne old seniors also believe, oneself is solves this suspicion „optiman”? 德利涅老前辈也认为,自己是解决这一猜想的“最佳人选”？ How this feels all right. 这怎么好意思。 Lu Zhou at heart small self-satisfied under. 陆舟心里小小的得意了下。 Deligne: „The Goldbach's conjecture is an interesting issue, I am young time also has studied, but not thorough, may be unable to provide too many help to you. The research results at present internationally most being close to respectively are the Chen theorem and Herve Gott's proof to the weak suspicion, I anticipated very much you can study some novel things based on this.” 德利涅:“哥德巴赫猜想是个有趣的问题,我年轻的时候也研究过,但并没有深入,可能无法向你提供太多的帮助。目前国际上最接近的研究成果分别是陈氏定理和赫尔夫戈特对弱猜想的证明,我很期待你能在此基础上研究出一些新颖的东西。” „Naturally, besides your research, me also the job requirements outside some research you do. For example, teaching assistant and so on work.” “当然,除了你自己的研究之外,我这边也有一些研究之外的工作需要你去做。比如,助教之类的工作。” Lu Zhou nods: „Does not have the issue...... , if the curriculum in theory of numbers or functional analysis, I can say.” 陆舟点了点头:“没问题……如果是数论或者泛函分析方面的课程,我还是能讲一些的。” „Mainly is the analytic theory of numbers, I believe that by your ability, is competent this work to have more than enough to spare...... other, I gave back to you to prepare a gift on first meeting.” “主要是解析数论,我相信以你的能力,胜任这份工作绰绰有余……另外,我还给你准备了一份见面礼。” Stopped a while, Venerable Deligne put out a hand to open the drawer, took out a certificate one thing from inside, placed on the table, on the serious face relaxed a happy expression. 停顿了一会儿,德利涅老先生伸手拉开了抽屉,从里面取出了一张证书一样的东西,放在了桌子上,严肃的脸上缓和了一丝笑意。 „I listened to your side saying that your family condition was not good. Yesterday helped you handled the admission procedure the time, I helped you while convenient the problem solve of stipend, your a while took this thing to go to an educational administration, solved the matter of school expense while convenient.” “我听你们那边说,你的家庭条件不好。昨天帮你办入学手续的时候,我顺便帮你把助学金的问题解决了,你一会儿拿着这东西去一趟教务吧,顺便也把学费的事情解决了。”