f*********g
发帖数: 632 | 1 Equations of higher degree
Some of the ideas described here can be generalized to equations of higher
degree. The basic ideas for solving the sextic using Klein's approach to the
quintic were worked out around 1900. For algebraic equations beyond the
sextic, the roots can be expressed in terms of hypergeometric functions in
several variables or in terms of Siegel modular functions.
http://library.wolfram.com/examples/quintic/main.html
示（Klein 和Poincare的结果）（应该是自守函数，如理解有误，请千万不吝指教） |
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f***y
发帖数: 4447 | 2 Horner's method
https://en.wikipedia.org/wiki/Horner%27s_method
It is questionable to what extent it was De Morgan's advocacy of Horner's
priority in discovery[5][16] that led to "Horner's method" being so called
in textbooks, but it is true that those suggesting this tend themselves to
know of Horner largely through intermediaries, of whom De Morgan made
himself a prime example. However, this method qua method was known long
before Horner. In reverse chronological order, Horner's method was alr... 阅读全帖 |
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H*********r
发帖数: 659 | 3 it's not difficult to derive those coefficients, I did up to quintic before. |
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L*m
发帖数: 235 | 4 统计了近十余年来中国大陆高校在四大刊物上的发文，有些是挂名的，但不管如何，还
是都统计了。全名单如下
Annals of Mathematics
A proof of Demailly’s strong openness conjecture
Qi'an Guan（关启安 北京大学） Xiangyu Zhou（周向宇 中科院）
A solution of an L2 extension problem with an optimal estimate and
applications
Qi'an Guan（关启安 北京大学） Xiangyu Zhou（周向宇 中科院）
Construction of Cauchy data of vacuum Einstein field equations evolving to
black holes
Junbin Li（黎俊彬 中山大学） Pin Yu（于品 清华大学）
Special test configuration and K-stability of Fano varieties
Chi Li(李驰 普林斯顿大学 现stony broo... 阅读全帖 |
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x********i
发帖数: 905 | 5 http://iccm.mcm.ac.cn/dct/page/1
Plenary Lectures
Group 1
Wei Zhang: RTF and L-functions
Kai-Wen Lan: Cohomology of automorphic bundles
Xinyi Yuan: On Faltings heights of CM abelian varieties
Jing Yu: On Linear Independence of Logarithms
Xuhua He: Cocenter of Hecke algebras
Jiu-Kang Yu: A GAGA theorem for p-adic groups
Jianya Liu: Manin's conjecture for a class of singular cubic
hypersurfaces
Lei Fu: Rigidity of $ell$-adic Sheaves
Si Li: Open-closed topologica... 阅读全帖 |
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