In a fractal zeta universe of bifurcated, ripped spacetime, the Millikan experiment, the quantum Hall effect, atmospheric clouds and universe clouds are shown to be self-similar with mass ratio of about 1020. Chaotic ...
The eta function is examined over the critical strip 0σ1and there is an investigation of the statement that all zeros of the zeta function must lie on the critical line Re(s)=1/2. A further investigation is made into...
In this paper,we study normal families of meromorphic functions.By using the idea in[11],we obtain some normality criteria for families of meromorphic functions that concern the number of zeros of the differential pol...
Let P be a complex polynomial of the form P (z)=(λz-a)mΠj=1n-m(z-zj),where|zj|≥1,1≤j≤n-m.The aim of this paper is to obtain generalisation of a result due to Zargar and Manzoor and a result due to Mir,Nazir and W...
supported by the Natural Science Foundation of Fujian Province,China under Grant No.2022J02046;Fujian Key Laboratory of Granular Computing and Applications (Minnan Normal University);Institute of Meteorological Big Data-Digital Fujian and Fujian Key Laboratory of Data Science and Statistics。
Wan and Zhang(2021) obtained a nontrivial lower bound for the number of zeros of complete symmetric polynomials over finite fields,and proposed a problem whether their bound can be improved.In this paper,the author im...
The paper is devoted to non-homogeneous second-order differential equations with polynomial right parts and polynomial coefficients.We derive estimates for the partial sums and products of the zeros of solutions to th...
In this paper we study the function , for z∈C. We derive a functional equation that relates G(z) and G(1−z) for all z∈C, and we prove: 1) that G and the Riemann zeta function ζ have exactly the same zeros in the cr...
supported by National Natural Science Foundation of China(Grant No.11801451);the Natural Science Foundation of Hunan Province(Grant No.2020JJ5682).
We investigate a generalized homogeneous Hahn polynomial in some detail. This polynomial includes as special cases the homogeneous Hahn polynomial and the homogeneous Rogers-Szeg o polynomial.A generating function, wh...
Lee–Yang (LY) zeros play a fundamental role in the formulation of statistical physics in terms of (grand) partition functions, and assume theoretical significance for the phenomenon of phase transitions. In this pape...
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.