HURWITZ

作品数：104被引量：132H指数：4
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On the primitive divisors of the recurrent sequence un＋1=(4cos^2(2π/7)-1)un-un-1 with applications to group theory被引量：1
《Science China Mathematics》2018年第11期2101-2110,共10页Maxim Vsemirnov 
supported by the Government of the Russian Federation (Grant No. 14.Z50.31.0030)
Consider the sequence of algebraic integers un given by the starting values u0=0,u1=1 and the recurrence u_(n+1)=(4cos^2(2π/7)-1)u_n-u_(n-1).We prove that for any n ■{1,2,3,5,8,12,18,28,30}the n-th term of the seque...
关键词：recurrent sequences primitive divisors Hurwitz groups 
Wreath Hurwitz numbers,colored cut-and-join equations,and 2-Toda hierarchy被引量：1
《Science China Mathematics》2012年第8期1627-1646,共20页ZHANG HanXiong ZHOU Jian 
supported by National Natural Science Foundation of China(Grant Nos.10425101,10631050);National Basic Research Program of China(973Project)(Grant No.2006cB805905)
Let G be arbitrary finite group,define H G· (t;p +,p) to be the generating function of G-wreath double Hurwitz numbers.We prove that H G· (t;p +,p) satisfies a differential equation called the colored cutand-join eq...
关键词：Hurwitz number wreath product cut-and-join equation integrable hierarchy 
The structural elucidation of Eisenstein's formula
《Science China Mathematics》2010年第9期2341-2350,共10页HASHIMOTO Masahiro KANEMITSU Shigeru 
supported by Natural Science Foundation of Shaanxi Province (Grant Nos.SJ08A22,2010JM1009)
In this paper,we shall give a complete structural description of generalizations of the classical Eisenstein formula that expresses the first periodic Bernoulli polynomial as a finite combination of cotangent values,a...
关键词：Eisenstein FORMULA HURWITZ ZETA-FUNCTION POLYLOGARITHM FUNCTION GAUSS FORMULA 
On asympotic behavior of solutions to several classes of discrete dynamical systems被引量：2
《Science China Mathematics》2002年第4期432-442,共11页廖晓昕 
This work was supported by the National Natural Science Foundation of China (GrantNo. 69874016); the National Key Basic Research Special Fund (Grant No. 1998020319) ; the "95" Climbing Program (Grant No. PD9521907).
In this paper, a new complete and simplified proof for the Husainov-Nikiforova Theorem is given. Then this theorem is generalized to the case where the coefficients may have different signs as well as nonlinear system...
关键词：discrete DYNAMICAL systems  characteristic equation  HURWITZ stability  SCHUR stability  robustness. 
COMPREHENSIVE DAMPING COEFFICIENT——A NEW DEFINITION TO DAMPING EFFECT OF LINEAR TIME-INVARIANT SYSTEMS
《Science China Mathematics》1989年第12期1511-1520,共10页李先彬 安立进 
A new concept is presented to express the damping property of linear time-invariant systems, by the Lyapunov theorem in view of quadratic form-defined energy. Two definitions are introduced: damping energy function D(...
关键词：LYAPUNOV THEOREM HURWITZ DETERMINANT linear time-invariant system. 
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