„...... Based on Professor Selberg in that paper that 19 95 publishes, I conducted to the big sieve method theory through the analysis situs principle further improved. “……基于泽尔贝格教授于95年发表的那篇论文,我通过拓扑学原理对大筛法理论进行了进一步改良。 Then in proving Polignac suspects, to solve from 2 promotes the prime number spacing to the infinity difficulty, I introduced the method of group theory. ” 而后在证明波利尼亚克猜想时,为了解决将素数间距从二推广到无穷大的难点,我又在其中引入了群论的方法。” „Crucial one step can manifest in the first three lines of paper p. 2, behind as for some upholstery work of front about group theory, I will put one and explains.” “关键性的一步在论文第二页的前三行可以体现,至于前面关于群论的一些铺垫性工作,我会放到后面一并讲解。” A both line of sight gathers in a point. 一双双视线汇聚一点。 Feels that to seek the real line of sight, Lu Zhou is facing under the stage, crossed one page ppt , to continue to explain religious doctrine in an unhurried manner. 感受着那求真的视线,陆舟面向着台下,将ppt翻过一页,从容不迫地继续讲道。 „We s1 ( q , a ) = ∑ e ( am / q ) , 1 ( q , a ) = ∑ e ( am / q ), lead into td ( n , q ) = ∑s 1 ( q , ad ) 1 ( q , ad ) e (-an / q ) / q ψ ( q ), can be under the progression δd ( n ) = ∑ td ( n , q ) absolute convergence.” “我们记s1(q,a)=∑e(am/q),1(q,a)=∑e(am/q),带入到td(n,q)=∑s1(q,ad)1(q,ad)e(-an/q)/qψ(q),可以得到级数δd(n)=∑td(n,q)绝对收敛。” „These step is very essential, originates from Herve Mr. Gott in that proof about weak Goldbach's conjecture 19 13 published.” “这一步很关键,来源于赫尔夫戈特先生于13年发表的那篇关于弱哥德巴赫猜想的证明。” „Our goals and circle methods are different, we do not conduct the Fourier analysis in theory of numbers for in the function to circumference, seeks for the indefinite boundary, but to conduct the approximate evaluation to the distribution of prime number.” “不过我们的目标与圆法不同,我们不是为了对圆周上的函数进行数论中的傅里叶分析,寻找不确定的上下界,而是为了对素数的分布进行近似估计。” „From these step starts, is ‚group construction law’ key......” “从这一步开始,便是‘群构法’的关键……” In fact, Lu Zhou is not the first attempt the person who the circle method and big sieve method conduct the fusion, is not first introduces the person in theory of numbers issue like him the group theory and analysis situs concept. 事实上,陆舟并不是第一个尝试将圆法和大筛法进行融合的人,就像他不是第一个将群论、拓扑学概念引入到数论问题中的人一样。 Similar attempt, Herve Gott had once done, moreover manifests in that paper that in he published in 19 13. 类似的尝试,赫尔夫戈特就曾做过,而且就体现在了他于13年发表的那篇论文中。 Although he utilizes is mainly the circle method, but some conclusions, obtains through the big sieve method. 虽说他运用到的主要是圆法,但其中有部分结论,也是通过大筛法得出。 According to his oneself in an interview to the description of sieve method and circle method, he calls it two methods to look like the pro and con of coin, how to use, looked how you toss this coin. 根据其本人在接受采访时对筛法和圆法的描述,他称之为两种方法就像是硬币的正反两面,如何去使用,就看你如何去抛这枚硬币。 Regarding the core theory of group construction law, Lu Zhou lecture of careful especially, because this is the essence of entire chapter paper is. 对于群构法的核心理论,陆舟讲的格外细致,因为这是整篇论文的精华所在。 Had made the China analytic theory of numbers school of thought of brilliant contribution to the world theory of numbers research, since Venerable Hua Luogeng passed away, then moved toward the decline, now like one „cultural relic”, is preserved in Tsinghua University , even there is a busybody to describe with the word „being annihilated”. 曾经对世界数论研究做出过杰出贡献的华国解析数论学派,自从华罗庚老先生仙逝之后,便走向了衰落,如今就像一件“文物”,被保存在水木大学,甚至有好事者用“全军覆没”一词来形容过。 Reasons for this include, part of pots of the veteran academic clique carry, after all monopolized the academician voting rights to be truly excessive, although without money did not have the position also to engage in scholarship, but under this environment did not have the future to be equal to without fresh blood. 究其原因,一部分的锅得老牌学阀来背,毕竟垄断院士投票权确实过分了点,虽说没钱没地位也能做学问,但这个大环境下没前途就等于没有新鲜血液。 Naturally, the pot also not all on others, some reasons stems from itself, that is younger generation is not then able in the predecessor theoretically makes the innovation, after Venerable magnificence passed away, his knowledge then bogs down along with his life together. 当然,锅也并非全在别人身上,也有一部分的原因出自自身,那便是后人无法在前人的理论上做出创新,华老先生一人去世之后,他的学问便随他的生命一同停滞不前。 If wish lets the China analytic theory of numbers school of thought internationally again blooming brilliance, must pour into the new thing for it. 如果想要让华国解析数论学派在国际上重新绽放光彩,就必须为它注入新的东西。 Lu Zhou hopes, has listened to the professor of his course, can bring back to the water wood, Yanda (Yanshan University) and Zhendan, to open the classroom of big wait university his method or theory, even is in the project topic. 陆舟希望,听过他讲座的教授,能将他的方法或者说理论带回水木、燕大、震旦、开大等等高校的课堂,甚至是项目课题中。 Revives a school of thought that or establishes a school of thought that is insufficient by a strength of person. 复兴一个学派,或者说建立一个学派,靠一个人的力量是不够的。 If some people through his theory, solved some abstruse mathematical proposition, he will be honored that for this reason very much. 如果有人通过他的理论,解决了某个深奥的数学命题,他会为此感到很荣幸。 But Lu Zhou also believes, the theory of group construction law does not halt in the Goldbach's conjecture, many piles build the prime number the issue through this mentality to analyze. 而陆舟也相信,群构法的理论并不止步于哥德巴赫猜想,许多堆垒素数的问题都可以通过这条思路进行分析。 „...... Introduces the bbieri theorem to us finally, can obtain the ( 29 ) type in ppt. And through this crucial one step, extracts the last line of expressions.” “……到最后我们引入bbieri定理,可以得到ppt中的式。并通过这关键性的一步,求出最后一行表达式。” 【Px ( 1,1) ≥ p( x , x ^ \ { 1 / 16 })- ( 1 / 2 ) ∑ px ( x , p , x )-q / 2-x ^ ( log4 )...... ( 30 )】 【px(1，1)≥p(x,x^\)-(1/2)∑px(x,p,x)-q/2-x^(log4)……(30)】 Arrived here, the form and Venerable Chen's of mathematical formula that paper, was actually not different. 到了这里,算式的格式和陈老先生的那篇论文,其实没什么两样了。 Group construction law origin in big sieve method. 群构法源于大筛法。 But finally, all, must return to the final proposition comes up. 而最终,所有的一切,都要回归到最终的命题上去。 „...... By type ( 30 ), lemma 8, lemma 9, lemmas 10, can prove theorem 1 finally, namely Goldbach Lu theorem establishes.” “……由式、引理八、引理九、引理十,便可最终证明定理一,即哥德巴赫-陆定理成立。” The instance when the voice drops, in the assembly hall of this thousand people of scale, resounded through the warm applause. 当话音落下的瞬间,这座千人规模的礼堂里,响彻了热烈的掌声。 Faces the scholar professor of audience, Lu Zhou is bowing slightly, amid an applause, went down the platform calmly. 面对着全场的学者教授,陆舟微微鞠躬,在一片掌声中,从容地走下了讲台。 Returns secretly. 回到幕后。 In the lounge, Lu Zhou saw Feng Keqin Professor Venerable Hua Luogeng's the last student from Tsinghua University . 在休息室里,陆舟看到了来自水木大学的冯可勤教授华罗庚老先生的关门弟子。 Venerable's eye socket somewhat blushes, the deep breath the one breath, had the tone that is trembling lightly with the steadiness, said. 老先生的眼眶有些发红,深呼吸了一口气,用平稳中带着一丝轻颤的语气,开口说道。 „Your speech, same made one shock with your paper...... thanks!” “你的演讲,和你的论文一样令人震撼……谢谢！” Lu Zhou smiles, said modestly: „You overpraised, I looked at your algebraic number theory to cross the threshold in the library in Jinling University, it inspires to me very in a big way.” 陆舟笑了笑,谦虚地说道:“您过奖了,我曾经在金陵大学的图书馆看过您的代数数论入门,它对我启发很大。” „These things were before write, now could not have kept up with the time quickly,” Venerable Feng coughed embarrassed gently the sound, looks at Lu Zhou, stopped the moment, said with the sincere tone, „actually I am writing teaching material, about theory of numbers. You spoke a moment ago to me inspire very in a big way, do I want to interpolate in the teaching material...... to ask the content selection part that you speak today?” “那些东西都是以前写的,现在已经快跟不上时代了,”冯老先生不好意思轻轻咳嗽了声,看着陆舟,停顿了片刻,用诚恳的语气说道,“其实我在写一本教材,也是关于数论方面的。你刚才的演讲对我启发很大,我想将你今天演讲的内容节选部分写进教材里……请问可以吗？” Is formulating a document to do is a very exhausting matter, needs to consult a lot of literature, and research, takes everywhere massively should be used in the time of research. 著书立作是一件很累人的事情,需要查阅大量的文献,并且四处考证,占用大量本该用于研究的时间。 Only if the person to the old age, on academic is very difficult achievements, otherwise Lu Zhou will be will not consider absolutely will do these matters. 除非是人到晚年,学术上已经很难有所建树,否则陆舟自己是绝对不会考虑去做这些事的。 However, this matter must some people do is good. 不过,这事总得有人来做才行。 Lu Zhou consented joyfully. 陆舟欣然应允。 „Sure.” “当然可以。” ...... …… Next day, similarly was this auditorium, Lu Zhou accepted the title of the doctorate as well as honorary professor of Jinling University. 次日,同样是这个大礼堂,陆舟接受了金陵大学的博士学位以及荣誉教授的头衔。 From this, Jinling University matter, came to the end finally. 由此,金陵大学这边的事情,总算是告一段落了。 The journey of however before stepping going home, the Lu Zhou also important things must manage. 不过在踏上回家的旅程之前,陆舟还有一件重要的事情要办。 In goes to Stockholm before Princeton, he then received that Han Tianyu the patent agent named call that makes, told him various countries' authorization file of patent to attain, asked when he had the time to take. 在从普林斯顿前往斯德哥尔摩之前,他便接到了那个叫韩天宇的专利代理人打来的电话,告诉他专利的各国授权文件已经拿到,问他什么时候有时间过来拿下。 Has telephoned to book a time, Lu Zhou found that patent agent named Han Tianyu, attained the authorization file of international monopoly from his hand. 打过电话预约了个时间,陆舟找到了那个叫韩天宇的专利代理人,从他手中拿到了国际专利的授权文件。 Stops, basically the patent authorization file of mainstream country, he has attained. 到此为止,基本上主流国家的专利授权文件,他都已经拿到了。 These patents have basically covered the global 80% markets, so long as some people used his technology in the product, he can obtain benefits. 这些专利基本上已经涵盖了全球百分之八十的市场,只要有人在产品中使用了他的技术,他都能够从中获益。 As for some market relatively small development. Country's patent authorization, Lu Zhou had no interest in doing. 至于一些市场规模较小的发展中.国家的专利授权,陆舟也没兴趣去做了。 Let alone in some development. The patent exemption privileges of national on wto, some probably Central African small countries, refers to uncertain Nokia not completely popular, waits for the industrial world to develop there the market, feared that was 20 years of patent valids crosses may not achieve. 别说一些发展中.国家在wto上的各种专利豁免特权,像是一些中非小国,指不定诺基亚都没完全普及,等工业界把市场开发到那里,怕是二十年的专利有效期都过了都不一定能做到。 But to that time, referred to being uncertain in his laboratory, fiddled with other new technology. 而到了那时,指不定他的实验室里,都捣鼓出别的新技术了。 „Then writes the paper, promoted this technology.” Reads the patent document in hand, in the Lu Zhou heart is sighing with emotion in a soft voice, „chemistry...... the meal ticket over the next several years, may depend entirely on you.” “接下来就是写论文,推广这项技术了。”看着手中的专利文件,陆舟心中不禁轻声感慨,“化学啊……未来几年的饭票,可全靠你了。” He has decided. 他已经打定了主意。 Waited for the vacation to end, returned to Princeton to start to take up the pen. 等假期结束,一回到普林斯顿就开始动笔。 Not only because of money, is rich Mission rewards is waiting for him. 不只是因为钱,更是一笔丰厚的任务奖励正等着他。 After the paper completed, sends «siene»? Sends «nature»? 至于论文完成了之后,是发《siene》呢？还是发《nature》呢？ This is an issue that warrants consideration. 这是个值得思考的问题。