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作品数:1501被引量:1540H指数:15
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The second discriminant of a univariate polynomial
《Science China Mathematics》2021年第6期1157-1180,共24页Dongming Wang Jing Yang 
supported by National Natural Science Foundation of China(Grant Nos.61702025 and 11801101);the Special Fund for Guangxi Bagui Scholar Project;Guangxi Science and Technology Program(Grant No.2017AD23056);the Startup Foundation for Advanced Talents in Guangxi University for Nationalities(Grant No.2015MDQD018)。
We define the second discriminant D_(2)of a univariate polynomial f of degree greater than 2 as the product of the linear forms 2r_(k)-r_(i)-r_(j)for all triples of roots r_(i),r_(k),r_(j)of f with i
关键词:DETERMINANT DISCRIMINANT polynomial ideal RESULTANT root configuration 
Kazhdan-Lusztig cells in some weighted Coxeter groups被引量:2
《Science China Mathematics》2018年第2期325-352,共28页Jianyi Shi Gao Yang 
supported by National Natural Science Foundation of China (Grant Nos. 11131001 and 11471115);Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice;Science and Technology Commission of Shanghai Municipality (Grant No.13dz2260400)
Let(W,S) be a Coxeter group with S = I■J such that J consists of all universal elements of S and that I generates a finite parabolic subgroup W_I of W with w_0 the longest element of W_I. We describe all the left cel...
关键词:weighted Coxeter group universal elements left cells two-sided cells the second largest weight element 
Second critical exponent for a higher-order semilinear parabolic system被引量:1
《Science China Mathematics》2015年第7期1453-1460,共8页YANG ChunXiao YANG JinGe ZHENG SiNing 
supported by National Natural Science Foundation of China(Grant Nos.11171048 and 11326149);the Science and Technology Research Project of Department of Education of Jiangxi Province(Grant No.GJJ14759)
This paper studies a higher-order semilinear parabolic system. We obtain the second critical exponent to characterize the critical space-decay rate of the initial data in the co-existence parameter region of global an...
关键词:higher-order semilinear parabolic system second critical exponent global existence BLOW-UP 
A Jacobi-collocation method for solving second kind Fredholm integral equations with weakly singular kernels
《Science China Mathematics》2014年第10期2163-2178,共16页CAI Hao Tao 
supported by National Natural Science Foundation of China(Grant No.10901093);National Science Foundation of Shandong Province(Grant No.ZR2013AM006)
In this work,we propose a Jacobi-collocation method to solve the second kind linear Fredholm integral equations with weakly singular kernels.Particularly,we consider the case when the underlying solutions are sufficie...
关键词:second kind Fredholm integral equations with weakly singular kernels Jacobi-collocation methods stability analysis convergence analysis 
On non-congruent numbers with 1 modulo 4 prime factors被引量:2
《Science China Mathematics》2014年第3期649-658,共10页OUYANG Yi ZHANG ShenXing 
supported by National Natural Science Foundation of China(Grant No.11171317);National Key Basic Research Program of China(Grant No.2013CB834202)
In this paper, we use the 2-descent method to find a series of odd non-congruent numbers = 1 (nmd 8) whose prime factors are = 1 (rood 4) such that the congruent elliptic curves have second lowest Selmer groups, w...
关键词:non-congruent number 2-descent second 2-descent 
Fujita phenomena in nonlinear pseudo-parabolic system被引量:7
《Science China Mathematics》2014年第3期555-568,共14页YANG JinGe CAO Yang ZHENG SiNing 
supported by National Natural Science Foundation of China(Grant Nos.11171048 and 11201047);the Doctor Startup Foundation of Liaoning Province(Grant No.20121025);the Fundamental Research Funds for the Central Universities
This paper deals with the Cauchy problem to the nonlinear pseudo-parabolic system ut - △u - αut =vp, vt -△v - α△vt = uq with p, q≥ 1 and pq 〉 1, where the viscous terms of third order are included. We first fin...
关键词:semilinear pseudo-parabolic system critical Fujita exponent second critical exponent global profile 
The second pluri-genus of smoothable Gorenstein surface singularities被引量:1
《Science China Mathematics》2010年第3期635-639,共5页YAU Stephen S. T. 
supported by National Natural Science Foundation of China (Grant No. 10731030);Program of Shanghai Subject Chief Scientist, Shanghai, China (Grant No. 06xd14007);supported by Institute of Mathematics, East China Normal University, Shanghai,China;supported by National Science Foundation Division of Mathematical Sciences(Grant No. 0802803)
For complete intersection isolated surface singularities, Okuma gave a formula for the second plurigenus relating geometry genus, Milnor number and Tjurina number. We generalize Okuma’s theorem to Gorenstein smoothab...
关键词:SECOND pluri-genus smoothable GORENSTEIN Milnor NUMBER Tjurina NUMBER 
A Second Main Theorem on P^n for difference operator被引量:2
《Science China Mathematics》2009年第12期2751-2758,共8页WONG Pit-Mann LAW Hiu-Fai WONG Philip P.W. 
supported by Natural Science Foundation of USA(Grant No.DMS0713348);Research Grant Council of Hong Kong(Grant No.HKU7053/06P)
The main result of this article is an extension of the Second Main Theorem,of Halburd and Korhonen,for meromorphic functions of finite order.Their result replaces the counting function of the ramification divisor Nram...
关键词:FINITE DIFFERENCE SECOND MAIN THEOREM FINITE order RAMIFICATION 
On the solution of Dirichlet problem of complex Monge-Ampère equation on Cartan-Hartogs domain of the second type
《Science China Mathematics》2009年第12期2829-2840,共12页YIN WeiPing YIN XiaoLan 
supported by the Research Foundation of Beijing Government(Grant No.YB20081002802);National Natural Science Foundation of China(Grant No.10771144)
Complex Monge-Ampère equation is a nonlinear equation with high degree, so its solution is very difficult to get. How to get the plurisubharmonic solution of Dirichlet problem of complex Monge-Ampère equation on the...
关键词:complex Monge-Ampère equation Dirichlet problem Cartan-Hartogs domain Kaehler-Einstein metric 65E05 32C17 53C55 35G30 
Construction of convex solutions for the second type of Feigenbaum's functional equations被引量:1
《Science China Mathematics》2009年第8期1617-1638,共22页SI JianGuo & ZHANG Min School of Mathematics, Shandong University, Jinan 250100, China 
supported by National Natural Science Foundation of China (Grant No. 10871117);Natural Science Foundation of Shandong Province (Grant No. Y2006A07)
In this paper, convex solutions for the second type of Feigenbaum's equation f (x) = λ1 f (f (λx)), 0 < λ < 1, f (0) = 1, 0 f (x) 1, x ∈ [0, 1] are investigated. Using constructive methods, we discuss the existenc...
关键词:the SECOND TYPE of Feigenbaum’s functional equations CONSTRUCTIVE method initial function CONVEX SOLUTIONS 
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