第103章 进度汇报
顶点小说(biquge432.com)更新快,无弹窗!
当整个证明的逻辑链条,在他脑海中,形成一个完美的闭环时,他长长地,舒了一口气。
他知道,自己,已经完全有资格,将这篇论文,署上自己的名字了。
但紧接着,一个更大胆丶也更具野心的念头,如同燎原的野火,在他心中,熊熊燃起。
【仅仅是『复现』这份证明,就足够了吗?】
他看着窗外那片深邃的夜空,眼神中,闪烁着一种不满足于现状的丶属于顶尖学者的锐利光芒。
【不,不够。】
他再次想起了张益唐教授的传奇故事。
本书首发台湾小说网藏书广,??????????.??????任你读,提供给你无错章节,无乱序章节的阅读体验
张益唐的伟大,不在于那个「七千万」的结论,而在于他为后人,开创了一套全新的丶具有普适性的「筛法」!
他开创了工具。
而全世界的数学家们,沿着他开辟的道路,不断地改进他的方法,优化他的工具,最终,将那个「七千万」的差距,一路缩小到了惊人的「246」!
他们在优化工具。
【那麽,我呢?】
徐辰看着自己脑海中那套精妙绝伦的CNTT变换,心中涌起了一股强烈的冲动。
【系统给我的,是『开创工具』。】
【我能不能,在它的基础上,再往前走一步,去『优化工具』?】
【我能不能,将它的适用范围,哪怕只扩大一点点?】
【从只能证明『费马数+2』这种极其特殊的偶数,推广到能证明一类更广泛的丶具有『正密度』的偶数集合?】
【比如,所有形如4k的偶数?或者,所有形如6k的偶数?】
他知道,如果能做到这一点,那这篇论文的价值,将发生质的飞跃!
那将不再仅仅是一篇「巧妙地」解决了一个稀疏子集问题的「一区顶刊」论文。
那将是真正意义上的丶对「哥德巴赫猜想」研究的丶里程碑式的巨大突破!
这个念头一起,便如同燎原的野火,再也无法熄灭。
……
虽然徐辰雄心壮志,想要在系统提供的证明过程上,更进一步,但是其难度也是巨大的。
接下来的半个月,徐辰将自己,完全浸泡在了那些最艰深丶最前沿的数学理论的海洋之中。
从「代数K理论」,到「朗兰兹纲领」;从「p-adic霍奇理论」,到「自守形式」……
他像一个贪婪的饕餮,疯狂地吞噬着那些足以让任何一个博士生都望而生畏的「天书」。
他宿舍的书桌上,堆满了各种写满了推演的草稿纸。
半个月的时间,转瞬即逝。
徐辰,依旧没能找到那个完美的丶可以「优化」CNTT的突破口。
他感觉自己,像是在一片无边无际的丶充满了迷雾的海洋上航行。
【CNTT变换的本质,是将一个数论问题,转化成了一个关于『自守形式』谱性质的分析问题。】
【而这个变换之所以有那麽苛刻的『收敛条件』,是因为它所构造的那个『自守形式』,其『权』太高了,导致对应的『L函数』性质非常差,很难分析。】
【我需要做的,就是找到一种方法,来『降低』这个自守形式的『权』,或者,找到一种更强大的分析工具,来处理这个性质很差的『L函数』。】
【但这……这几乎就等于,要去挑战『朗兰兹纲领』最核心的丶关于『函子性』的猜想了!】
他感觉,自己似乎一头撞在了一堵由「21世纪数学最前沿理论」构成的丶坚不可摧的墙壁上。
【不行,不能再一个人闷头搞了。】
他揉了揉布满血丝的眼睛。
【刚好快月底了,是时候和田刚老师汇报一下进展了。】
……
田刚院士的办公室。
当徐辰将自己这一个月来的思考,那篇系统论文丶后续打算继续推广的想法丶以及遇到的瓶颈,原原本本地,向田刚院士和盘托出时。
办公室里,陷入了长久的丶死一般的寂静。
正在一旁,为导师整理文献的两位研究生师兄,早已停下了手中的动作,如同两尊被施了石化魔法的雕像,呆立当场。
他们的大脑,一片空白。
【我……我刚才,都听到了些什麽?】
【『耦合数论变换』?『光滑数』?『放宽收敛条件』?】
【这……这他妈,真的是一个大一新生,该思考的问题吗?!】
他们感觉,自己这几年的硕士,都读到狗肚子里去了。
而田刚院士,此刻,也无法再保持平静。
这才一个月时间,徐辰就搞出了这麽大的成果?
虽然他心中直觉地认为一定是徐辰在某个地
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