Regarding Lu Zhou, attended class with the undergraduate students, was review to knowledge node. 对于陆舟而言,和本科生们上课,也算是一种对知识点的回顾了。 If in the past, these to him were the obvious things, basically will not consider. Also only then at this time, he can put down the research temporarily, pondered that these obvious things, why to be actually obvious. 若是往常的话,这些对他来说算是显而易见的东西,基本上都是不会去考虑的。也只有在这个时候,他才能暂时放下研究本身,思考那些显而易见的东西,究竟为何显而易见。 „...... Many people know, the Riemann hypothesis is in the analytic theory of numbers is most important is also one of the most difficult suspicions, it zero distributed a supposition about Riemann zeta function. But few people know why the Riemann hypothesis is raised?” “……很多人都知道,黎曼猜想是解析数论中最重要也是最困难的猜想之一,它是关于黎曼zeta函数的零点分布的一个假设。但很少有人知道,黎曼猜想是为何而被提出来？” „In fact, before the Riemann hypothesis, but also has one to be studied the huge propositions of several centuries by the innumerable scholars, namely, the regularity of distribution of prime number.” “事实上,在黎曼猜想之前,还存在着一个被无数学者研究了数个世纪的更庞大的命题,即,素数的分布规律。” Saying, Lu Zhou wrote down several numbers on the blackboard, then looked that continued to say to the students in classroom. 说着,陆舟在黑板上写下了几个数字,回头看向了教室里的学生们继续说道。 „Through most basic arithmetic theorem, even if Junior High School lives still knows, each positive integer can express the product of prime number factor, if not consider the prime number factor the order of rank, then this type expressed that is only, therefore the prime number also becomes the fundamental element of constitution positive integer.” “通过最基本的算术定理,即便是初中生也知道,每个正整数都可以表示成素数因子的乘积,如果不考虑素数因子的排列顺序,那么这种表示就是唯一的,因此素数也成为了构成正整数的基本元素。” „However the regularity of distribution of prime number, actually not like its definition straightforward. Even can say, entire analytic theory of numbers division/discipline, one of the most basic duties, is studies the prime number the regularity of distribution.” “然而素数的分布规律,却并不像它的定义那样浅显易懂。甚至于可以说,整个解析数论学科,最基本的任务之一,也是研究素数的分布规律。” Looks that the students in classroom entered the condition gradually, Lu Zhou know own this class has almost succeeded half. 看着教室里的学生们渐渐进入了状态,陆舟知道自己这堂课差不多已经成功了一半。 Although the Riemann hypothesis is a very complex issue, but wants to understand that it actually does not have difficult that the average person imagines, what is truly difficult is how to solve it...... 黎曼猜想虽然是一个很复杂的问题,但想要理解它其实并没有一般人想象的那么困难,真正困难的是如何解决它…… , Lu Zhou continued to say. 顿了顿,陆舟继续说道。 „In analytic theory of numbers, people usually study function Pi ( x ), and did not express the integers of over x prime number with it. The regularity of distribution of research prime number is the basic task of analytic theory of numbers, but research Pi ( x ) condition, is the crucial question of analytic theory of numbers.” “在解析数论中,人们通常研究函数π(x),并且用它来表示不超过x的素数的个数。研究素数的分布规律是解析数论的基本任务,而研究π(x)的性态,则是解析数论的中心问题。” „The issue about Pi ( x ), Gauss and Legendre has made massive numerical computations, and suspected, when x tends to infinity, Pi ( x ) ~ x / lnx, this suspicion was shown afterward, is the prime number theorem that we understand.” “关于π(x)的问题,高斯和勒让德都做过大量的数值计算,并且猜想当x趋向于无穷大时,π(x)~x/lnx,这个猜想后来被证明,也就是我们所了解的素数定理。” „Euclid proved with the primary method the prime number has infinite many, but Euler introduced a product formula, these forerunners provided the possibility for the analysis and research prime number issue, however to the 1850s, people had not found the appropriate method to prove suspicion that Gauss proposed, until a German mathematician, published titled «by Not Over One Given value Integer paper of Prime number», for the research to Pi ( x ) paved a new way.” “欧几里得用初等方法证明了素数有无穷多个,而欧拉则引入了一个乘积公式,这些先行者都为分析研究素数问题提供了可能性,然而一直到19世纪50年代,人们都没有找到合适的方法去证明高斯提出的猜想,直到一位德国数学家,发表了一篇题为《论不超过一个给定值的素数的个数》的论文,才为对π(x)的研究开辟了一条新的道路。” „Many people had possibly guessed correctly who this big cow is, yes, he is Riemann who I must say, but he in Riemann zeta function that in this paper said that affected future -and-a-half centuries.” “很多人可能已经猜到了这位大牛是谁,是的,他就是我要说的黎曼,而他在这篇论文中引入的黎曼zeta函数,更是影响了未来的一个半世纪。” Was saying Lu Zhou turns around to face the blackboard, wrote down one line of mathematical formulas on the blackboard. 说着陆舟转身面向黑板,在黑板上写下了一行算式。 【Zeta (s ) = Σ 1 / n ^s】 【ζ(s)=Σ1/n^s】 Observed the situation a completely silent classroom, Lu Zhou continued to say. 环视了一眼鸦雀无声的教室,陆舟继续说道。 „Is this gadget...... seems like not very difficult, right?” “就是这玩意儿……看上去不是很难,对吗？” Students: „......” 众学生:“……” mmp! mmp！ Where isn't difficult?! 哪里不难了？！ „Riemann conducted the further suspicion in the paper to the function that oneself proposed, thought the Zeta (s ) complete non- obvious zero point in the critical straight line. Facts showed, his vision is quite really far-seeing, after all non- obvious zero points that the massive calculations obtain in critical straight line. However it is a pity that we, although knows that its big probability is right, but does not have the means certificate it to be truly correct.” “黎曼在论文中对自己提出的函数进行了进一步的猜想,认为ζ(s)全部的非显然零点均在临界直线上。事实证明,他的目光确实相当有远见,经过大量计算所得到的所有非显然零点均在临界直线上。然而遗憾的是,我们虽然知道它大概率是对的,但却没有办法证明它确实是正确的。” „Therefore, we can obtain a very attractive result under the Riemann hypothesis frequently, but if we are unable to show that the Riemann hypothesis establishment, is unable to show our results are correct.” “因此,我们常常能在黎曼猜想下得到一个非常漂亮的结果,但如果我们无法证明黎曼猜想成立,就无法证明我们的结果是正确的。” „In turn is also same, if we can show that the Riemann hypothesis is correct, then over a thousand supposed the conjecture that the Riemann hypothesis establishment has, will be promoted with all attendant honor for the theorem!” “反过来也是一样,如果我们能证明黎曼猜想是正确的,那么上千条假设黎曼猜想成立而存在的数学猜想,都将荣升为定理！” „If who can prove the Riemann hypothesis, he will become the greatest mathematician...... I to be able without a doubt in this century very responsible saying these words, even if this century just started.” “如果谁能证明黎曼猜想,他毫无疑问将成为本世纪最伟大的数学家……我可以很负责的说出这句话,即便这个世纪才刚刚开始。” „Professor,” at this time, a student could not bear raise the hand, after obtaining Lu Zhou signaled by nodding, stood the tone to ask excitedly, „, if can prove the Riemann hypothesis, compared with you?” “教授,”这时候,一名学生忍不住举起了手,在得到陆舟点头示意之后,站起来语气兴奋地问道,“如果能够证明黎曼猜想,和您比起来呢？” „This not good comparison, my achievement not just in the world of mathematics, the student who looks at this inquiry, Lu Zhou smiles after all”, gave a indefinite view, „, but if some people really can show that this suspicion, he will stand in the achievement of the world of mathematics in the apex of this time without a doubt.” “这个不太好比较,毕竟我的成就并非仅仅在数学领域,”看着这位提问的学生,陆舟笑了笑,给了一个不确定的说法,“但如果有人真的能够证明这个猜想的话,那他在数学领域的成就毫无疑问会站在这个时代的顶点。” Then, Lu Zhou continued to speak the research development about Riemann hypothesis, as well as some equal forms. Although is some dull things, but perhaps is because changed the reason of teaching way, the students obviously listen be more earnest than the previous class. 接下来,陆舟又继续讲了一些关于黎曼猜想的研究进展,以及一些它的等价形式。虽然都是些枯燥无味的东西,但也许是因为改变了授课方式的缘故,学生们明显听的要比上一节课认真多了。 Found some conditions to be pleased gradually to oneself, Lu Zhou happily nods in the heart. 对自己渐渐找回了一些状态感到很满意,陆舟在心中得意地点了点头。 Time one minute one second of past, quickly to time of finishing class. 时间一分一秒的过去,很快到了下课的时间。 Lu Zhou looked at wall clock on a wall, seeing the time is similar, then threw the chalk in hand on the multimedia teacher's desks. 陆舟看了一眼墙上的挂钟,见时间已经差不多了,便将手中的粉笔丢在了多媒体讲桌上。 „This class on to here, happen to also had some new ideas in me a moment ago...... that finishes class.” “这堂课就上到这里吧,就在刚才我正好也产生了一些新的想法……那么,下课。” In the classroom resounded tidied up the textbook sparse the sound, Lu Zhou clamps the lesson plan under the elbow, nods to the students of departure gazing after him left, then turned around to walk toward the classroom. 教室里响起了稀稀拉拉收拾课本的声音,陆舟将教案夹在了胳膊肘下面,向目送他离开的离开的学生们点了点头,然后转身向教室外面走去。 Arrived at outside the classroom, Lu Zhou is preparing to return to office, will attend class when a moment ago the inspiration of having records, suddenly is not known Dean Qin who where drills blocking way. 走到了教室外面,陆舟正准备回办公室一趟,将刚才上课时产生的灵感记录下来,忽然被不知道从哪里钻出来的秦院长给拦住了去路。 „A very splendid theory of numbers class!” Smiles to welcome to come, Dean Qin said with the sigh with emotion tone, „, even if I listened, was still benefits greatly.” “非常出色的一堂数论课！”满脸笑容地迎上前来,秦院长用感慨的语气说道,“即便是我听完了,也是受益匪浅啊。” Lu Zhou smiles embarrassed. 陆舟不好意思地笑了笑说。 „Overpraised. Embarrassed saying that I for sometime have not attended class to the undergraduate students.” “过奖了。说来惭愧,我都有一段时间没有给本科生们上过课了。” Dean Qin said that the understanding said: „Everything has a priority, is related to the national interest , compared to attend class to the students, naturally is your research is more important. Then, recently you were busy?” 秦院长表示理解地说道:“凡事都有个先后,事关国家利益,相比起给学生们上课,当然是你的研究更重要。说起来,最近你忙不忙啊？” Lu Zhou: „For those not very busy, how?” 陆舟:“到不是很忙,怎么了？” „Is this, under the matter I want to ask you,” Dean Qin coughed gently, said, „the Olympics math competition you have heard?” “是这样的,有一件事情我想拜托下你,”秦院长轻轻咳嗽了一声,说道,“奥林匹克数学竞赛你听说过吧？” Lu Zhou: „Had heard has heard actually, what issue has?” 陆舟:“听说过倒是听说过,有什么问题吗？” the imo competition he has certainly heard, although does not have the opportunity to participate. imo大赛他当然听说过,虽然没有机会参加过。 Every year wins the imo competition gold medal, is the immortal same player. 每年拿到imo大赛金牌的,都是神仙一样的选手。 For example Schultz who he knows, was called the world's exceeds of hopefully men his three young scholars by Faltings, had won three imo gold medals continuously. 比如他认识的舒尔茨,被法尔廷斯称为世界上最有希望超越他的三位年轻学者之一的男人,就是曾经连续夺得过三枚imo金牌。 As for after was asked why won the gold medal entered for two, according to his view is because finds it fun...... 至于当被人问起为何拿了金牌之后又去报名参加了两届,据他本人说法是因为觉得好玩…… Dean Qin said: „Is this, last month didn't do the national high school math league tournament? The first several famous metropolises in various provinces have elected, by January of next year National Finals of winter camp, must take probably 30 students to enter the national training center unit. Now already in November, almost also this/should preparation examination question.” 秦院长笑着说:“是这样的,上个月不是搞了全国高中数学联赛吗？各省的前几名都已经选出来了,到明年1月冬令营的全国决赛,要取大概30名学生进入国家集训队。现在都已经11月了,差不多也该准备考题了。” Lu Zhou gawked slightly, immediately loses says with a smile: „...... Should you not ask me to work as the proposition person?” 陆舟微微愣了下,随即失笑道:“……你该不是找我来当命题人吧？” Dean Qin: „This matter does not turn over to me to manage, is our China math learned that side invitation, they hope that holds the post of the last next to last act problem by you proposition person.” 秦院长:“这事儿不归我管啊,算是咱们华国数学学会那边的邀请吧,他们希望由你来担任最后一道压轴题的命题人。” Lu Zhou: „Makes me work as the proposition person to be appropriate?” 陆舟:“让我来当命题人合适吗？” Dean Qin said: „What this has to be appropriate, in the past the last problem of National Finals was also the academician comes the proposition, you were not only an academician, but also Fields rewarded the winner, if you were inappropriate, that also who can be appropriate?” 秦院长笑着说:“这有什么合不合适的,往年全国决赛的最后一道题也是院士来命题,你不但是院士,而且还是菲尔茨奖得主,你要是都不合适,那还有谁能合适？” Lu Zhou: „That line, is only the words of last problem.” 陆舟:“那行吧,只是最后一道题的话。” „Un, this matter asked you,” suddenly thought anything, Dean Qin rushed to supplement one, „right, left too difficultly, if no one could make that not to have the significance.” “嗯,这事儿就拜托你了,”忽然想起来什么,秦院长赶忙又紧接着补充了一句,“对了,也别出得太难了,要是谁都做不出来那也没意义了。” „Relax, I will not leave is too difficult,” is saying, Lu Zhou from the clip in the elbow following lesson plan, extracted a scratch paper, tore down an corner/horn to write above. “放心,我不会出的太难,”说着,陆舟从夹在胳膊肘下面的教案里,抽出了一张草稿纸,撕下一角在上面写了起来。 Looks that Lu Zhou put out the scratch paper to write, Dean Qin gawked slightly , did not immediately know whether to laugh or cry to say. 看着陆舟拿出草稿纸写了起来,秦院长微微愣了下,随即哭笑不得道。 „Should you not be will plan to set the topic here?” “你该不会是打算在这里出题吧？” Lu Zhou: „Otherwise?” 陆舟:“不然呢？” Dean Qin the perspiration said: „This is National Finals, how saying that also under considers well.” 秦院长汗道:“这可是全国决赛,怎么说也得好好斟酌下吧。” „Has considered,” wrote down the topic on the paper, Lu Zhou folded the scratch paper, the stopper to the hand of Dean Qin, „transmitted for me to the China math learned gently, this topic should not have the issue.” “已经考虑过了,”在纸上写下了题目,陆舟将草稿纸叠起来,轻轻塞到了秦院长的手中,“替我转交给华国数学学会吧,就这道题目应该没问题。” Looks at the back that Lu Zhou leaves dumbfoundedly, Dean Qin moved the line of sight succeeds in obtaining on the scratch paper, disassembled to look at the eye silently. 目瞪口呆地看着陆舟离开的背影,秦院长将视线挪到了手中的草稿纸上,默默拆开看了眼。 „...... Riemann zeta function?” “……黎曼zeta函数？” The mouth mumbled the sentence, Dean Qin touches the chin, thinks is thinking aloud. 嘴里嘟囔了句,秦院长摸了摸下巴,思索着自言自语道。 „Does this topic competition live coming out that can make?” “这种题竞赛生能做的出来吗？” However at this time, he thinks suddenly probably anything resembles, eye slightly one bright. 然而就在这时候,他忽然间像是想到了什么似的,眼睛微微一亮。 „Hiss...... wait, this topic seems like Interesting......” “嘶……等等,这题好像有点意思……” About looked at the eye mystically, Dean Qin folded to force in the pocket the paper carefully, then the turning around half step walked toward the direction of office. 神神秘秘地左右看了眼,秦院长小心将纸条叠起塞进了兜里,然后转身快步向办公室的方向走去。