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.
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 ...
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...
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...
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...
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);...
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...
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,...,...
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...
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...