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ZEROS: 作品数：133被引量：140H指数：6; 导出分析报告; 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>>; 相关期刊：更多>>; 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>>

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 the Absence of Zeros of Riemann Zeta-Function Out of ℜ(z) = 1/2被引量：1: 《Advances in Pure Mathematics》2022年第3期178-185,共8页Jorge Julián Sánchez Martínez; This work shows, after a brief introduction to Riemann zeta function , the demonstration that all non-trivial zeros of this function lies on the so-called “critical line”,, the one Hardy demonstrated in his famous w...; 关键词：Riemann Zeta Function ANALYTICITY Weierstrass-Hadamard Product REPRESENTATION

On the Non-Trivial Zeros of Dirichlet Functions: 《Advances in Pure Mathematics》2021年第3期187-204,共18页Dorin Ghisa; The purpose of this research is to extend to the functions obtained by meromorphic continuation of general Dirichlet series some properties of the functions in the Selberg class, which are all generated by ordinary Di...; 关键词：General Dirichlet Series Riemann Type of Functional Equation Euler Products Fundamental Domains Analytic Continuation

On the Zeros of Euler Product Dirichlet Functions被引量：1: 《Advances in Pure Mathematics》2019年第12期959-966,共8页Dorin Ghisa; We study a class of Dirichlet functions obtained as analytic continuation across the line of convergence of Dirichlet series which can be written as Euler products. This class includes that of Dirichlet L-functions. T...; 关键词：General DIRICHLET Series EULER Products Fundamental DOMAINS ANALYTIC CONTINUATION

Transcendental Meromorphic Functions Whose First Order Derivatives Have Finitely Many Zeros: 《Advances in Pure Mathematics》2019年第11期925-933,共9页Feng Guo; Let f be a meromorphic function in C. If the order of f is greater than 2,has finitely many zeros and f takes a non-zero finite value finitely times, and then ?is unbounded.; 关键词：TRANSCENDENTAL MEROMORPHIC Functions DERIVATIVES ZEROS

Common Properties of Riemann Zeta Function, Bessel Functions and Gauss Function Concerning Their Zeros被引量：1: 《Advances in Pure Mathematics》2019年第3期281-316,共36页Alfred Wünsche; The behavior of the zeros in finite Taylor series approximations of the Riemann Xi function (to the zeta function), of modified Bessel functions and of the Gaussian (bell) function is investigated and illustrated in t...; 关键词：RIEMANN Zeta and Xi Function Modified BESSEL Functions Second Mean-Value THEOREM or Gauss-Bonnet THEOREM RIEMANN Hypothesis

Correction and Supplement to Approach for a Proof of Riemann Hypothesis by Second Mean-Value Theorem被引量：1: 《Advances in Pure Mathematics》2017年第3期263-276,共14页Alfred Wünsche; From the theorem 1 formulated in [1], a set of functions of measure zero within the set of all corresponding functions has to be excluded. These are the cases where the Omega functions Ω(u)?are piece-wise consta...; 关键词：RIEMANN HYPOTHESIS ZEROS of Modified BESSEL FUNCTIONS Almost-Periodic FUNCTIONS

Polar Derivative Versions of Polynomial Inequalities: 《Advances in Pure Mathematics》2015年第12期745-755,共11页Barchand Chanam; Let be a polynomial of degree n and for a complex number , let ?denote the polar derivative of the polynomial ?with respect to . In this paper, first we extend as well as generalize the result proved by Dewan and Mir ...; 关键词：POLYNOMIALS POLAR DERIVATIVE of a POLYNOMIAL ZEROS EXTREMAL POLYNOMIALS

Some Inequalities on Polar Derivative of Polynomial Having No Zero in a Disc: 《Advances in Pure Mathematics》2015年第13期796-803,共8页Barchand Chanam; Let , , be a polynomial of degree n having no zero in , , then Qazi [Proc. Amer. Math. Soc., 115 (1992), 337-343] proved . In this paper, we first extend the above inequality to polar derivative of a polynomial. Furth...; 关键词：POLYNOMIALS INEQUALITIES POLAR DERIVATIVE of a POLYNOMIAL ZEROS

The Zeros of a Certain Homogeneous Difference Polynomials of Meromorphic Functions: 《Advances in Pure Mathematics》2013年第1期99-104,共6页Qian Lu Qilong Liao; Let f(z) be a function transcendental and meromorphic in the plane of growth order less than 1. This paper focuses on discuss and estimate the number of the zeros of a certain homogeneous difference polynomials of deg...; 关键词：MEROMORPHIC Functions ZEROS HOMOGENEOUS DIFFERENCE POLYNOMIALS

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