The inspiration is always often born in the carelessly. 灵感往往总是诞生在不经意之间。 Previously in attending class, Lu Zhou through to Riemann hypothesis previous generation this life combing, recalled when studying this/should issue, by some details that he neglected. 先前在上课的时候,陆舟通过对黎曼猜想前世今生的梳理,回忆起了许多在研究该问题时,被他所忽略掉的一些细节。 Although even if every so often remembers, these details are still immaterial, but in the crucial time, these immaterial clues can also play the astonishing role. 虽然很多时候即便想起,这些细节也是无关紧要的,但在关键的时刻,这些无关紧要的线索亦能发挥出惊人的作用。 After returning to the office, Lu Zhou sits down before the desk, takes out the sloppy manuscript paper from the drawer, these things that oneself will think of previously, all various professions wrote. 回到了办公室之后,陆舟在办公桌前坐下,从抽屉里取出了草稿纸,将自己先前想到的那些东西,一行行地书写了下来。 „Riemann hypothesis to study Pi ( x ) function proposed suspicion, Riemann's groundbreaking work was not lies in proposing the Riemann hypothesis, but through introducing the method of Riemann zeta function, the research about Pi ( x ) will promote the complex planes truthfully straightly.” “黎曼猜想是为了研究π(x)函数而被提出的猜想,黎曼的开创性工作不是在于提出了黎曼猜想,而是通过引入黎曼zeta函数的方法,将关于π(x)的研究从实直线提升到了复平面。” The pen tip has slid on the paper gently, Lu Zhou wrote down one line of mathematical formulas smoothly. 笔尖在纸上轻轻滑过,陆舟流畅地写下了一行算式。 【Pi ( x ) = ∫ dt / lnt + o ( x ^ ( 1 / 2 + e ) )......】 【π(x)=∫dt/lnt+o(x^(1/2+e))……】 „The equal issue of Riemann hypothesis,” stopped the pen in hand, ignited the paper surface with the pen tip gently, the Lu Zhou expression appears gradually wiped the dignity of ponder, thinking aloud looking pensive, „, if the Riemann hypothesis established this/should evolution formula also to establish, but in turn can also promote the Riemann hypothesis by this asymptotic formula......” “黎曼猜想的等价问题,”停下了手中的笔,用笔尖轻轻点着纸面,陆舟的表情渐渐浮现了一抹沉思的凝重,若有所思的自言自语道,“如果黎曼猜想成立该渐进公式同样成立,而反过来由这个渐近公式也可以推出黎曼猜想……” „Solves the problem the key, should in Pi ( x ) function!” “解决问题的关键,应该就在π(x)函数本身上！” In the heart had a clear(ly) to become aware gradually, but always felt that also missed anything. 心中渐渐产生了一丝明悟,不过总感觉还差些什么。 Probably has spelled to 1/3 puzzles is scattering the fragmentary fragment, as if anything does not lack, actually lacked the most essential key only. 就好像一张已经拼到三分之一的拼图旁边散落着零零碎碎的碎片,似乎什么都不缺,却唯独缺了最关键的一把钥匙。 Found it then to be able all clues to connect in together, if could not find, all as if are only the empty talk. 找到了它便能将所有的线索串联在一起,而若是找不到,一切似乎都只是空谈。 Like this did for one hour is so long before the desk, sent out „gu” until the belly a light sound, Lu Zhou recovered suddenly. 就这样在办公桌前做了一个小时那么久,直到肚子发出了“咕”的一声轻响,陆舟才恍然间回过神来。 When he moves from the desktop the line of sight to the out of the window increasingly estranged dusk, the unexpected discovery, oneself sat before the desk unexpectedly unknowingly was so long. 而当他将视线从桌面挪向窗外渐行渐远的黄昏时,才意外的发现,自己竟然不知不觉在办公桌前坐了这么久。 „Saw that you were too dedicated, I have not hated to call you,” almost also at this time, the voice of assistant forest fluttered from side, „does your a while plan to go to the cafeteria?” “看到您太专注了,我就没舍得叫您,”差不多也就在这时候,林助理的声音从旁边飘了过来,“您一会儿打算去食堂吗？” Climbs up the horizon the dim light of night to take back from out of the window the line of sight gradually, Lu Zhou looked that to assistant forest who stands in the entrance, after thinking deeply about the moment, said: „If you plan to go to the cafeteria, brings to get food down for me.” 将视线从窗外渐渐爬上天边的夜色收回,陆舟看向了站在门口的林助理,思索了片刻后说道:“如果你打算去食堂的话,替我带下饭。” He also plans staying a while probably in the office, for does not interrupt with great difficulty the mentality with a sense of urgency, he planned slightly 1 : 00 pm time goes back again. 他大概还打算在办公室里呆一会儿,为了不打断好不容易抓紧的思路,他打算稍微晚 1 点的时候再回去。 forest Yuxiang blinks to ask: „Does barbecue mix the food?” 林雨湘眨了眨眼问:“烤肉拌饭吗？” Lu Zhou looked at her one eyes accidentally/surprisingly 陆舟意外的看了她一眼 „How...... you know that I do want to say this?” “……你咋知道我要说这个？” forest Yuxiang purses the lips to show a faint smile: „Guesses ~” 林雨湘抿嘴微微一笑:“猜的~” Why does not know, looks that her face understands own appearance very much, Lu Zhou feels from top to bottom goosebumps, therefore coughed the sound to say lightly. 不知道为什么,看着她那一脸很懂自己的样子,陆舟觉得浑身上下一阵鸡皮疙瘩,于是轻咳了声说道。 „Tonight suddenly a little does not want to eat the barbecue to mix the food to help my bringing down yellow Menji rice...... thank.” “今天晚上突然有点不想吃烤肉拌饭帮我带下黄焖鸡米饭吧……谢谢。” Was shocked for 2-3 seconds, forest Yuxiang hidden bitterness white Lu Zhou, turned the body to leave. 愣住了2-3秒钟,林雨湘幽怨地白了陆舟一眼,扭身走掉了。 Without the waiting very long time. 没有等待很久的功夫。 Sits Lu Zhou before desk , to continue to consider as finished the period of time at the scratch paper performance, goes to the cafeteria to eat meal assistant forest, carried one box of yellow Menji rice to walk quickly, will go delivered to the Lu Zhou table. 坐在办公桌前的陆舟,继续在草稿纸上演算了一阵子,去食堂吃过饭的林助理,很快拎着一盒黄焖鸡米饭走了回来,将外卖送到了陆舟的桌上。 Disassembled the cover of pack box, the rich chicken juice taste heads on immediately, looks at the hot pepper of that yellow chicken and red green interaction, Lu Zhou the index finger moves immediately greatly, tears the disposable tableware neatly and quickly, scooped up one spoon of cooking liquor pouring with the ladle on a grains of full cooked rice, ate greedily. 拆开了打包盒的盖子,浓郁的鸡汁味顿时扑面而来,看着那嫩黄色的鸡肉和红绿相间的辣椒,陆舟顿时食指大动,三下五除二地扯开一次性餐具,用勺子舀了一勺汤汁浇在了粒粒饱满的白米饭上,狼吞虎咽地吃了起来。 Perhaps because of usually the quite busy reason, Lu Zhou discovered oneself as if have only one in mind to the fast-food. Before smoking meat sandwich in Princeton, after returning to homeland, is not the barbecue mixes the food, is and barbecue mixes food similar thing. 或许是因为平时比较忙的缘故,陆舟发现自己似乎对快餐情有独钟。以前在普林斯顿的时候顿顿熏肉三明治,回了国之后不是烤肉拌饭,便是和烤肉拌饭类似的东西。 Although this type of diet from the perspective of nutriology is not quite healthy, but this excellent in quality and reasonable in price full belly feels can actually bring unexpected satisfaction, like instant coffee. 虽然从营养学的角度来讲这种饮食不太健康,但这种物美价廉的饱腹感却能给人带来意料之外的满足,就像速溶咖啡一样。 How he eats that type that does not put on weight in any case, in addition by the system has strengthened the metabolic ability, the diet casual point does not seem in the way? 反正他是怎么吃也不长肉的那种类型,再加上被系统强化过的代谢能力,饮食随便一点似乎也不碍事儿？ Solved the dinner in a hurry, Lu Zhou turned on the computer, formed in one's mind a moment later, ten fingers struck on the keyboard fast, the content that will form in one's mind previously transformed an all various professions paper. 匆匆解决了晚餐,陆舟打开电脑,构思了片刻之后,十指在键盘上飞快地敲打了起来,将先前构思的内容转化成了一行行论文。 Although these things possibly are only some insignificant ideas, but each substantial progress about Zeta (s ) research, will bring the huge impetus to the research of prime number distribution theory, therefore insignificant idea, has its value. 虽然这些东西可能都只是一些微不足道的想法,但关于ζ(s)研究的每一次实质性进展,都会给素数分布理论的研究带来巨大的推动作用,因此再微不足道的想法,也是具备它的价值的。 No matter these things whether can arouse the resonance of other scholars, scratches a fiercer spark in the collision of thought that Lu Zhou plans to hang these contents to arxiv on. 不管这些东西是否能够引起其他学者的共鸣,在思想的碰撞中擦出更为剧烈的火花,陆舟都打算将这些内容挂到arxiv上。 Online glanced over the papers of other while scholars, plans to switch off the computer in Lu Zhou, tidies up the thing goes home, suddenly received an unexpected video phone. 在网上浏览了一会儿其他学者的论文,就在陆舟打算关掉电脑,收拾东西回家的时候,忽然接到了一个意料之外的视频电话。 The video request was his once student Qin Yue sends. 视频请求是他曾经的学生秦岳发来的。 Pressed down the button of connection conveniently, looks to appear in the familiar face of screen that head, Lu Zhou greets with a smile, sent regards. 随手按下了接通的按钮,看着出现在屏幕那头的熟悉的面孔,陆舟笑着打了声招呼,问候道。 „Recently crossed how? Does the work of instructor to be smooth in Princeton?” “最近过的怎么样？在普林斯顿做讲师的工作还顺利吗？” The background in video is in the morning. 视频中的背景是上午。 Sits that man in front of lens, the appearance looks four years ago no change. Four years ago time, seemingly was short of several points of simple-hearted, were many several points of calm makings. 坐在镜头前的那个男人,模样看起来和四年前没什么变化。只是比起四年前的时候,看上去少了几分木讷,多了几分沉稳的气质。 Looks to sit the teacher in front of lens, Qin Yue smiles: „Is smooth, but also remembers the member in ivy club? After you walk the second year I attained.” 看着坐在镜头前的导师,秦岳笑了笑说:“非常顺利,还记得常青藤俱乐部的会员吗？你走之后的第二年我就拿到了。” „They will not refuse one once to prove the Collatz conjecture mathematician,” Lu Zhou played a joke, stopped continued to say a moment later, „what matter me suddenly called?” “他们可不会拒绝一位曾经证明了角谷猜想的数学家,”陆舟开了句玩笑,停顿了片刻之后继续说道,“突然给我打电话有什么事情吗？” The person who does the math mostly has no curved intestines, the speech was also quite direct, pushes under the eyeglasses on bridge of the nose, Qin Yue came straight to the point to ask. 搞数学的人大多没什么弯弯肠子,说话也都比较直接,推了下鼻梁上的眼镜,秦岳开门见山问道。 „Were you studying the Riemann hypothesis recently?” “您最近在研究黎曼猜想？” Lu Zhou: „...... How?” 陆舟:“……怎么了？” Qin Yue a little embarrassed smiling of: „No, I from your personal web page noticed in your academic personal history were many a edit to record, was related with the Riemann hypothesis, therefore was somewhat curious.” 秦岳有点不好意思的笑了笑:“没什么,我只是从你的个人主页上看到你的学术履历上多了一条审稿记录,和黎曼猜想有关,于是有些好奇。” Lu Zhou does not know whether to laugh or cry saying: „...... Was this discovered by you?” 陆舟哭笑不得道:“……这都被你发现了？” Mother, is this must pay attention to me? 妈耶,这是得有关注我？ Generally the edit records this type of academic personal history, what is not the research agency registration to seek employment, generally who will stare at this gadget to look? 一般审稿记录这种学术履历,不是去研究机构报名求职什么的,一般谁会去盯着这玩意儿看？ Looks at a face surprise Lu Zhou, Qin Yue made a helpless expression: „I dare saying that entire mathematics circles more than 50% scholars are staring at your trend, not only absolutely I alone do that.” 看着一脸诧异的陆舟,秦岳做了个无奈的表情:“我敢说整个数学界一半以上的学者都在盯着你的动向,绝对不只是我一个人这么做。” Although always felt where is the trough point, but Lu Zhou does not know where suddenly should tsukomi get up. 虽然总感觉哪里都是槽点,但陆舟一时间也不知道该从哪里吐槽起来。 Opens mouth, he selected, approved Qin Yue the speculation. 张了张嘴,他点了下头,认可了秦岳的猜测。 „...... I was truly studying the Riemann hypothesis recently.” “……我最近确实在研究黎曼猜想。” Heard the past teacher indeed to attempt to break through this century difficult problem that puzzled mathematics circles -and-a-half centuries, on Qin Yue the face appeared immediately the look of being interested, sat straight asking. 一听到自己昔日的导师的确正在尝试突破这个困扰了数学界一个半世纪的世纪难题,秦岳脸上顿时浮现了感兴趣的神色,坐直了问道。 „Had the clue...... my meaning is, needed me to help?” “有线索了吗……我的意思是,需要我帮忙吗？” The words told only half, he realized suddenly oneself request somewhat takes the liberty regarding a scholar, therefore then changes a statement immediately. 话说到一半,他忽然意识到自己的请求对于一名学者来说有些冒昧,于是便立刻改了口。 However Lu Zhou does not have to care actually, but smiles to say. 不过陆舟倒是没太在意,只是笑了笑说道。 „Clue had actually some, particularly after having read the Morina paper, I affirmed my guess.” “线索倒是有一些了,尤其是看过了莫丽娜的论文之后,我更加肯定了自己的猜测。” Qin Yue: „What guessed...... our apparent say/way?” 秦岳:“什么猜测……我方便知道吗？” „No facilitates, if you can prove the Riemann hypothesis according to my mentality, I will be happy for you,” Lu Zhou smiles , to continue saying that „returns to the proper topic, according to my observation, or guessed, perhaps can also reach the interesting conclusion through advancement critical online zero proportion the method of world of mortals estimate, but wants to solve the Riemann hypothesis through this method is actually not realistic.” “没什么方不方便的,如果你能照着我的思路证明黎曼猜想,我会替你感到高兴,”陆舟笑了笑,继续说道,“言归正传,根据我的观察,或者说猜测,通过推进临界线上零点比例的下界估计的方法也许还能得到更多有趣的结论,但想通过这个方法来解决黎曼猜想本身却是不现实的。” Hears these words, Qin Yue the expression enforced gradually. 听到这句话,秦岳的表情渐渐严肃了起来。 Through advancement critical online zero proportion the method of world of mortals estimate, it can be said that studies one of the Riemann hypothesis mainstream methods at present, but at present about the Riemann hypothesis „best” result, proves through this method. 通过推进临界线上零点比例的下界估计的方法,可以说是目前研究黎曼猜想的主流方法之一了,而目前关于黎曼猜想“最好”的结果,也正是通过这一方法证明出来的。 However Lu Zhou says that now this route possibly walks does not pass, although being insufficient by his position makes these words sound unthinkable but actually, but made Qin Yue somewhat surprised. 然而陆舟现在却说这条路线可能走不通,虽然以他的身份地位而言倒不至于让这句话听起来匪夷所思,但着实还是让秦岳有些惊讶。 „Your meaning is......” “您的意思是……” Lu Zhou said with the earnest tone: „Perhaps we must return to it of Pi ( x ) function, can find to solve the last puzzle of this issue.” 陆舟用认真的语气说道:“也许我们得回归到π(x)函数的本身,才能找到解决这个问题的最后一块拼图。” …… …… ( Thanks book friend „Zhong Kui small-sized number” pledge enjoys principal ~ ~ ~) (感谢书友“钟馗小号号”的盟主打赏~~~)