Supported by the National Science Foundation of China(11471151); Supported by Program for Liaoning Excellent Talents in University(LR2011031)
Acknowledgment The authors would like to thank the referees for kind suggestions and many useful comments
We study zeros of the Jones polynomial and their distributions for torus knots and 2-bridge knots. We prove that e(2m+1)πi/2and e(2m+1)πi/4(m is a positive integer)can not be the zeros of Jones polynomial for torus ...
Supported by the NSF of China(10771121);Supported by the "Yumiao" Project of Guangdong Province(LYM08097)
Let f(z) be a transcendental meromorphic function in the complex plane and a ≠0 be a constant, for any positive integer m, n, k, satisfy m ≥ nk+n+2, ψ= f^m +a(f^(κ))^n has infinitely many zeros. The corre...
In this paper, by using the Nevanlinna Theory on angular domain, we establish a theorem which concerns the growth of entire function and his zero. As an application, we survey the location of zero of higher order diff...
Foundation item: Supported by the National Natural Science Foundation of Education Department of Sichuan Province(2002A031); Supported by the "11.5" Research and Study Programs of SWUST(06zx2116); Supported by the National Natural Science Foundation of China(10271122)
Suppose that function f(z) is transcendental and meromorphic in the plane. The aim of this work is to investigate the conditions in which differential monomials f(z)f(k)(z) takes any non-zero finite complex nu...
Supported by the National Natural Science Foundation of China(10171076);Supported by the Scientific and Technical Committee Foundation of Shanghai(03JC14027)
To obtain a better Vinogradov's bound, assistant function with two or three zeros and all Dirichlet's characters has been evaluated. Assistant function g(X1,X2,X3,X4)with four zeros and all nonprincipal characters but...
In this paper, we discuss the estimation of the number of zeros of the Abelian integral for the quadratic system which has a periodic region with a parabola and a straight line as its boundary when we perturb the syst...
In is paper, a necessary and sufficient condition of regularity of (0,2)_interpolation on the zeros of the Lascenov Polynomials R (α,β) n(x)(α,β>-1) in a manageable form is estabished. Meanwhile, the explic...
Let P_n(z) be the Legendre polynomial satisfing P_n(1)=1. For a function f(z) we denote by L_n(f;z) the Lagrange interpolation polynomial based on the zeros of the P_n(z), we denote by G_d the elliptic region with foc...