Time of onecup of coffee, enoughhas hada lot.
一杯咖啡的功夫,已经足够发生很多事情。
……
……InLu Zhoureturns to the bedto lie low, the consciousnessenters the system spacetime, is separated byover a thousandkilometersUniversite de MontrealwithPrinceton, BritishmathematicianAndrewGranville( andrewgrafemaleille) is visiting the arxivhomepage.
就在陆舟回到床上平躺着,意识进入系统空间的时候,与普林斯顿相隔上千公里的加拿大蒙特利尔大学,英国数学家安德鲁格兰维尔(andrewgra女ille)正在浏览arxiv的网页。Thisisone of thingshemustmakeevery day, sometimesrunsafter the early morningfinished, sometimesbeforesleeping.
这是他每天必做的事情之一,有时候是在晨跑结束之后,有时候是在睡觉前。Althoughmostprofessorslikefollowing closelyonarxiv the work of peer latest research developmentthrow the postgraduate candidateor the master's degree studenttolaboratorydo, butGranvilleactuallylikesdoing it yourselfatthismatter.
虽然大多数教授喜欢把盯梢arxiv上同行最新研究进展的工作扔给实验室的博士生或者硕士生去做,但格兰维尔却喜欢在这件事上亲力亲为。Althoughhas not undergone the peer reviewonarxiv the qualitygood and evil intermingled of paper, butmanyup-and-comersproposedsomeinnovativeideas, has very biginstructive...... is only imperfect.
虽然没有经过同行评审的arxiv上论文的质量良莠不齐,但很多新人提出了一些极具创意的想法,却具有很大的启发性……只是还不完善而已。Looked at the appearances of probablytenpaperssketchily, Granvillehad a yawn, is preparingto set outto sleep.
粗略的看了大概十篇论文的样子,格兰维尔打了个哈欠,正准备起身去睡觉。Howeverat this moment, hisindividualpage, receivesalert that a websitesent insuddenly, moreoverhappen to came from twolabelanalytic theories of numbers and prime numberissues that hepays attention.
然而就在这时,他的个人页面,忽然收到了一个网站发来的alert,而且正好来自他关注的两个标签解析数论以及素数问题。Granvilleknits the brows, the obsessionurgedhimto select the reminder.
格兰维尔皱了皱眉,强迫症促使他点开了提醒。Howeverafterseeing the title of article, hiscorners of the mouththencast asidecasting aside.
然而在看到文章的标题之后,他的嘴角便不由撇了撇。«AnyOneIs bigger than2Even numbers, CanExpressSums of TwoPrime number»
《任一大于二的偶数,可以表示成两个素数之和》
Isn't thisGoldbach's conjectureEuler of states?
这不就是哥德巴赫猜想的欧拉陈述吗?Generally speaking, thistype of paperwill throw into„generalmath”district, butthisdistrict was established the shieldbyhim.
一般来说,这种论文会被扔进“一般数学”的分区,而这个分区早就被他设置屏蔽了。Granvilledoes not know why thispaperwill triggerreminds, butwantsto comeis the websitehaswhatbugprobablyoris the staffneglects.
格兰维尔不知道这个论文为何会触发提醒,但想来大概是网站出了什么bug或者是工作人员疏忽了。Shakes the head, whenheplannedcloses the notebookto sleep, suddenlynoticed the name of contributor.
摇了摇头,就在他打算合上笔记本电脑去睡觉的时候,忽然注意到了投稿者的名字。Then......
然后……Hewas shocked.
他就愣住了。luzhou?
luzhou?Last yearKohltheory of numbersprizewinner?
去年柯尔数论奖得主?Voucher who the weekguess, Twin Prime ConjectureandPolignacsuspect?
周式猜测、孪生素数猜想、波利尼亚克猜想的证明者?
Was the meaning of thispaper...... heproves the Goldbach's conjecturethis year?
这篇论文的意思是……今年他又证明了哥德巴赫猜想?wtf?!
wtf?!Granvilleinstantaneouscompelledignorant, instantaneouswas sober!
格兰维尔瞬间懵逼了,也瞬间清醒了!Originalbeing strandedintentsweeps away, buthehas not moved, butsaton the chairlooks at dumblyhada halfminute is so long.
原本的困意一扫而空,但他并没有动,而是坐在椅子上呆立了足足有半分钟那么久。Heread a calendar, the confirmationis in May, rather than on April 1.
紧接着他看了眼日历,确认已经是5月份,而不是4月1号。Paperaltogether more than 50pages, butcompares the information content in the titlecontaining, thisat all is notanything.
论文一共五十多页,但相比起标题中所蕴含的信息量,这根本不算什么。„Solved the Goldbach's conjecture...... this is not impossibleunexpectedly.”
“竟然解决了哥德巴赫猜想……这不可能。”
The mouthis talking overlow voice, Granvilleselected the paper, following the abstract of paper, lookedone after anotherdownward.
嘴里小声念叨着,格兰维尔点开了论文,顺着论文的摘要,一行一行往下看了下去。Then, thispaper, hethenlooked atone......
然后,这篇论文,他便看了一宿……
......
……Another side, ParistallmasterinAtlanticopposite shore, is conducting one courseaboutweakGoldbach's conjectureproof.
另一边,远在大西洋对岸的巴黎高师,正进行一场关于弱哥德巴赫猜想证明的讲座。But the orator, naturallyis the voucher of thissuspicion, HaroldHerveGott.
而演讲者,自然是这一猜想的证明者,哈洛德赫尔夫戈特。„...... The end of circle methodin the weakGoldbach's conjecture, wecanshow that anyis bigger than7odd numbers to be expressedthreewonderfulprime numbers, butverydifficultitto promote the even number.”
“……圆法的尽头在弱哥德巴赫猜想,我们能证明任何一个大于七的奇数都能被表示成三个奇素数的和,但很难将它推广到偶数。”„Naturally, myproofcannot say that by farperfect, space that is worthimproving. But ifeveryonepresentis interested inprofoundlystudyingthisissue, Isuggestedyouchange a mentality, reconsidersthisissue.”
“当然,我的证明远远称不上完美,还有很多值得改进的空间。但如果在座的各位有兴趣深入研究这一问题,我还是建议你们换一条思路,重新考虑这个问题。”
The coursereaches the last act.
讲座进入尾声。Then, inquires the link.
接下来,是提问环节。Sitsherenot, only thenParistallmasterprofessorandresearcher, there is a student.
坐在这里的不只有巴黎高师的教授和研究员,也有学生。Waitedto be very long, young peoplestood the speech.
等了很久,一位年轻人站起来发言。„HerveProfessorGott, youthought how longsolves the Goldbach's conjecturealsoto need?”
“赫尔夫戈特教授,请问您觉得解决哥德巴赫猜想还需要多久?”HerveGottthinks,replied: „Thisdepends onusto solve the problem the toolexisting, isunprecedented. Actuallyif possible, Ievenhope that itwill never be solved. Whattook a look atusto obtain? Weimproved the ancientsieve method, creating the circle methodanddensitylawwait...... is not I am greedy, butperhapsthroughthisproposition, we can also harvestmoreburied treasuresalsoperhaps.”
赫尔夫戈特想了想,回答道:“这取决于我们解决问题的工具是现有的,还是前所未有的。其实如果可以的话,我甚至希望它永远不会被解决。瞧瞧我们已经得到了什么?我们改进了古老的筛法,创造了圆法和密率法等等……不是我贪心,但没准通过这个命题,我们还能收获更多的宝藏也说不定。”
The courseended.
讲座结束了。Under the stagebroke out the applause, sent out the lecture hallHerveProfessorGott.
台下响起了掌声,将赫尔夫戈特教授送出了报告厅。Has not stoppedhere, heis taking the briefcase, walkstoward the direction of office.
没有在这里多做停留,他提着公文包,向办公室的方向走去。Opens the door, moves towardownposition, howeverhas not waited forhimto sitto drink water, his studentthenface the half stepwalkedtowardhimamazed.
推开门,走向自己的位置,然而还没等他坐下来喝口水,他的学生便一脸的惊诧地快步向他走了过来。„Professor! Iseepaper about Goldbach's conjectureonarxiv!”
“教授!我在arxiv上看到一篇关于哥德巴赫猜想的论文!”HerveGottplacedon the briefcase the table, the expressionhas no change, saidwith at a moderate pacesound,„Amos, Iandyousaidmanytimes, the article on arxivmusthaveselectivelylooks. Perelmanonly hasone, will only haveoneprobably, whatyoushouldlookisItotheseclassicalpublications that youdelimit, rather thansomehave not undergone the peer review the dregs.”
赫尔夫戈特将公文包放在了桌子上,表情没有什么变化,用不紧不慢的声音说道,“阿莫斯,我和你说了很多次,arxiv上的文章要有选择性的看。佩雷尔曼只有一个,也大概只会有一个,你应该看的是我给你划的那些经典刊物,而不是一些没有经过同行评审的糟粕。”
The math and computerare different, regarding the computer industry, idea( idea )missed for twomonths, possiblymeans that missed a century. Thereforemanypeoplelikefirstoccupying the pit, the supplement, will latter usearxivfrequently.
数学和计算机不同,对于计算机行业来说,一个想法(idea)差了两个月,可能就意味着差了一个世纪。所以很多人喜欢先占坑,后补充,才会频繁的使用arxiv。But the math, onlydepends on an ideato be honest, the significanceis not really big.
而数学,说实话仅凭一个想法,意义真的不大。Amosexpressionis very helpless, heknows that oneselfbossdoes not likearxiv, buttriesto explain: „ButProfessor, the author of thisarticlewaslast yearKohltheory of numbersprizewinner! Always the paper that is possibleheto writeis not the dregs.”
阿莫斯表情很无奈,他知道自己的老板不喜欢arxiv,但还是试图解释道:“可是教授,这篇文章的作者是去年柯尔数论奖得主!总不可能他写的论文也是糟粕吧。”HerveGottgawkedslightly , the expressionis surprised.
赫尔夫戈特微微愣了下,表情非常惊讶。Actuallybecause of the reputation of Kohltheory of numbersprize, thisreputationregardingpeople like himis the floating clouds. Howeverlast yearKohlrewarded the winner, heactuallyknows that waswhose. Becausein that academic exchangesconference of CaliforniaBerkeleyBranch school, thatChinayoung peoplemade the goodimpressiononhim.
倒不是因为柯尔数论奖的名头,这种名头对于他这种人来说已经是浮云了。但是去年的柯尔奖得主,他却知道是谁的。因为就在加州伯克利分校的那场学术交流会议上,那位华国年轻人给他留下了不错的印象。
......
只是……
Such significantsuspicion showed that whycanstillonarxiv?
这么重大的猜想证明,为什么要仍在arxiv上?
The lookput in orderslightly, HerveGottfeltoneselfshouldtreatthispapercautiously. Cannotbecause of the prejudicetoarxiv, butmissed such a significantachievement.
神色微微整了整,赫尔夫戈特觉得自己应该慎重对待这篇论文。不能因为对arxiv的偏见,而错过了这么一件重大的成果。Puts out the eyeglassesto takefrom the pocket, sees onlyhimto sayimmediately: „Prints the paperforme.”
从兜里拿出了眼镜带上,只见他立刻说道:“替我把论文打印出来。”„Good, Professor!”
“好的,教授!”
Before Amosreturned to the computercompetitive, andstarted the printer.
阿莫斯干劲十足的回到了电脑前,并且启动了打印机。With a wēng wēngsound, the quickthese50pagesare hot the a4paper, thendelivered to HerveGott'shand.
随着一阵嗡嗡的声音,很快这50页还热乎着的a4纸,便送到了赫尔夫戈特的手中。HerveProfessorGottpushed the eyeglasses, extracted a fountain penfrom the pen container, tois discussing the content on stationeryto carefully examineone after another.
赫尔夫戈特教授推了推眼镜,从笔筒里抽出了一支钢笔,对着论文纸上的内容一行一行审视了起来。Timeoneminuteonesecondpasses by.
时间一分一秒过去。Amoswaitedto be very long, did not haveresponse that whenheanticipated.
阿莫斯等了很久,也没有等到他期待的反应。Finally, heand otherssomewhatworried, cannot bearaskslow voice.
终于,他等的有些着急了,忍不住小声问道。„Professor, heisright?”
“教授,他是对的吗?”„...... Iam indefinite.”HerveProfessorGottshakes the head, put down the fountain pen in hand, the prudentexpression said that „, butIhad not found the obviousissue.”
“……我不确定。”赫尔夫戈特教授摇了摇头,放下了手中的钢笔,慎重措辞地说道,“但我没有找到明显的问题。”Proof of thissignificantsuspicion, impossibleto draw the conclusionin the shorttime, not onlyherequires the time, the peers who similarlyare studyingthisdirectionalsorequire the time.
这种重大猜想的证明,也不可能在短时间做出结论,不只是他需要时间,同样在研究这一方向的同行们也需要时间。
By the chair, HerveProfessorGottcloses the eye, ponderedsome little time.
靠在椅子上,赫尔夫戈特教授闭上眼睛,沉思了好一会儿。Crossed for fiveminutes is so longprobably, heopened the eyefinally, probablywas saying that tohisstudentAmos, seemed likethought aloud.
大概过了五分钟那么久,他终于睁开眼睛,像是在说给他的学生阿莫斯,又像是自言自语。„...... Heused a brand-newmethod, Icansee the sieve method above the shadow, cansee that close orbitGeneral pointsandtheorem of residuestheseclearlyare the trace of circle method...... naturally, most make one thump the table and shout praise, isheinowntheoryframe, introduced the concept of group theory. Ihave seensimilarthoughtin the paper of ProfessorSelberg, but is not so pure. Actuallyto proveas forhim, Ido not dareto draw the conclusion, Ineedto ask the opinions of others......”
“……他运用了一个全新的方法,我在上面能看到筛法的影子,也能看到闭轨积分和留数定理这些明显属于圆法的痕迹……当然,最让人拍案叫绝的,还是他在自己的理论框架中,引入了群论的概念。我在泽尔贝格教授的论文上见过类似的思想,但并没有这么纯粹。至于他究竟证明了没有,我也不敢下定论,我需要问一问其他人的意见……”
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