ZEROS

作品数:133被引量:140H指数:6
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相关领域:理学更多>>
相关作者:惠淑荣张国伟薛明志张秀英周恒更多>>
相关机构:东北大学沈阳农业大学郑州铁路局北京师范大学更多>>
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相关基金:国家自然科学基金国家重点基础研究发展计划北京市自然科学基金广东省自然科学基金更多>>
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PROPORTION OF DISTINCT ZEROS OF A DIRICHLET L-SERIES
《Acta Mathematica Scientia》2022年第6期2367-2376,共10页Xinhua QIN Xiaosheng WU 
This work was supported in part by NSFC(11871187);the Fundamental Research Funds for the Central Universities of China。
By studying the distribution of zeros of combinations of a Dirichlet L-function and its first-order derivative,we prove that every Dirichlet L-function has more than 66.7934%distinct zeros.
关键词:simple zeros distinct zeros Dirichlet L-function 
THE ENERGY FUNCTION WITH RESPECT TO THE ZEROS OF THE EXCEPTIONAL HERMITE POLYNOMIALS
《Acta Mathematica Scientia》2017年第5期1483-1496,共14页Agota P.HORVATH 
Supported by Hungarian National Foundation for Scientific Research,Grant No.K-100461
We examine the energy function with respect to the zeros of exceptional Hermite polynomials. The localization of the eigenvalues of the Hessian is given in the general case.In some special arrangements we have a more ...
关键词:exceptional Hermite polynomials system of minimal energy energy function partitioned matrices 
ON PROPERTIES OF MEROMORPHIC SOLUTIONS FOR COMPLEX DIFFERENCE EQUATION OF MALMQUIST TYPE被引量:3
《Acta Mathematica Scientia》2013年第4期1141-1152,共12页黄志波 陈宗煊 李倩 
supported by the National Natural Science Foundation of China(11171119)
In this paper, we present the properties on zeros, fixed points, poles, Borel exceptional value of finite order transcendental meromorphic solutions of complex difference equation of Malmquist typewhere n(∈ N) 〉 2...
关键词:ZEROS POLES FIXED-POINTS Borel exceptional value difference equation 
ZEROS AND FIXED POINTS OF DIFFERENCE OPERATORS OF MEROMORPHIC FUNCTIONS被引量:1
《Acta Mathematica Scientia》2013年第3期773-780,共8页崔巍巍 杨连忠 
supported by the NSF of Shandong Province, China (ZR2010AM030);the NNSF of China (11171013 & 11041005)
Let f be a transcendental meromorphic function and △f(z) = f(z + 1) -- f(z) A number of results are proved concerning the existences of zeros and fixed points of Af(z) and △f(z)/f(z) when f(z) is of o...
关键词:Entire functions meromorphic functions complex difference fixed points ZEROS 
ON ZEROS OF SOLUTIONS OF HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS被引量:2
《Acta Mathematica Scientia》2013年第2期556-564,共9页蓝双婷 陈宗煊 
supported by the National Natura Science Foundation of China (11171119);Funding of Tianyuan (11226090)
In this article, we investigate the exponent of convergence of zeros of solutions for some higher-order homogeneous linear differential equation, and prove that if Ak-1 is the dominant coefficient, then every transcen...
关键词:Differential equation exponent of convergence of zeros TYPE 
ZEROS OF BRAUER CHARACTERS
《Acta Mathematica Scientia》2012年第4期1435-1440,共6页王慧群 陈晓友 曾吉文 
Chen research was supported by the Doctor Foundation of Henan University of Technology (2010BS048);Tian Yuan Foundations (11126273, 11126271)
The authors obtain a sufficient condition to determine whether an element is a vanishing regular element of some Brauer character. More precisely, let G be a finite group and p be a fixed prime, and H = G′O^P′(G);...
关键词:vanishing regular element Brauer c:haracter 
ZEROS OF ENTIRE SOLUTIONS TO COMPLEX LINEAR DIFFERENCE EQUATIONS被引量:7
《Acta Mathematica Scientia》2012年第3期1141-1148,共8页陈宗煊 
supported by the National Natural Science Foundation of China (11171119 and 10871076)
In this article, we study the complex oscillation problems of entire solutions to homogeneous and nonhomogeneous linear difference equations, and obtain some relations of the exponent of convergence of zeros and the o...
关键词:Linear difference equation complex oscillation ZERO order of growth 
PERTURBATIONS OF ZEROS OF SOLUTIONS TO SECOND ORDER DIFFERENTIAL EQUATIONS WITH POLYNOMIAL COEFFICIENTS
《Acta Mathematica Scientia》2012年第3期1083-1092,共10页Michael Gil' 
Let P(z) and P(z) be polynomials of the same degree. We consider the equations u" = P(z)u and u" = P(z)u (z ∈ C) whose solutions are u(z) and u(z), respectively. Let Zk(U) and zk(u), k = 1, 2,...,...
关键词:Complex differential equation zeros of solutions perturbation of zeros 
ON PROPERTIES OF q-DIFFERENCE EQUATIONS被引量:1
《Acta Mathematica Scientia》2012年第2期724-734,共11页郑秀敏 陈宗煊 
supported by the National Natural Science Foundation of China (11171119,11126145,11026096);the Nature Science Foundation of Jiangxi Province in China(20114BAB211003)
In this article, we consider some type of q-difference equations, which have meromorphic solutions with Borel exceptional zeros and poles. We also give a precise result in the finite order case and some further result...
关键词:q-difference equation meromorphic solution Borel exceptional zeros andpoles 
CONTINUITY AND HAUSDORFF DIMENSION OF JULIA SET CONCERNING YANG-LEE ZEROS
《Acta Mathematica Scientia》2008年第3期530-534,共5页高军扬 乔建永 
supported by National Natural Science Foundation of China (10625107);Program for New Century Excellent Talents in University (04-0490)
Considering the Julia set J(Tλ) of the Yang-Lee zeros of the Potts model on the diamond hierarchical Lattice on the complex plane, the authors proved that HDJ(Tλ) 〉 1 and discussed the continuity of J(Tλ) in...
关键词:Hausdorff dimension CONTINUITY Julia set Yang-Lee zeros 
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