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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Charge Quanta as Zeros of the Zeta Function in Bifurcated Spacetime
《Journal of Modern Physics》2025年第2期249-262,共14页Otto Ziep 
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 ...
关键词:Charge Quanta Zeta Function Cosmic Rays Cosmic Microwave Background Bifurcated Spacetime 
Zeros of the Eta and Zeta Functions
《Journal of Applied Mathematics and Physics》2025年第1期256-266,共11页John H. Heinbockel 
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...
关键词:Riemann Hypothesis Zeta Function Zeros Dirichlet Eta Function Zeros 
NORMALITY AND THE NUMBER OF ZEROS
《数学杂志》2024年第5期377-382,共6页WANG Guang-sheng WEI Dong-mei XU Yan 
Supported by NNSF of China(11471163).
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...
关键词:Meromorphic function normal family differential polynomial ZERO 
On the Zeros of a Special Class of Polynomials
《Journal of Mathematical Research with Applications》2024年第4期470-474,共5页Mahnaz Shafi CHISHTI Vipin Kumar TYAGI Mohammad Ibrahim MIR 
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...
关键词:BOUND COEFFICIENT POLYNOMIAL ZEROS 
Zeros of Complete Symmetric Polynomials over Finite Fields被引量:1
《Journal of Systems Science & Complexity》2024年第4期1772-1788,共17页CAO Wei 
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...
关键词:Complete symmetric polynomial finite field permutation polynomial value set 
Inequalities for Sums and Products of Complex Zeros of Solutions to ODE with Polynomial Right Parts
《Communications on Applied Mathematics and Computation》2023年第4期1524-1533,共10页Michael Gil’ 
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...
关键词:Ordinary differential equations Linear equations Zeros of solutions 
All Zeros of the Riemann Zeta Function in the Critical Strip Are Located on the Critical Line and Are Simple
《Advances in Pure Mathematics》2023年第6期402-411,共10页Frank Stenger 
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...
关键词:Riemann Hypothesis Fourier Transforms Schwarz Reflection Principle Cauchy-Riemann Equations Trapezoidal-Midordinate Quadrature 
On a generalized homogeneous Hahn polynomial
《Science China Mathematics》2023年第5期957-976,共20页Bing He 
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...
关键词:generalized homogeneous Hahn polynomial generating function asymptotic expansion ZEROS zeros of entire functions q-congruence 
Lee–Yang zeros in the Rydberg atoms
《Frontiers of physics》2023年第2期197-204,共8页Chengshu Li Fan Yang 
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...
关键词:Lee-Yang zeros Rydberg atom statistical mechanics 
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 
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