黎曼函数

本文对黎曼函数的性质做归纳总结。

In this paper , the nature of Riemann function summary .

黎曼函数与宇宙能量密度

The Riemann function and energy density of cosmos

关于一类三阶EPD方程的黎曼函数及其求法

On the Riemann Function of a class of Third-Order Euler-Poisson-Darboux Equations and its Solutions

本文讨论了狄利克雷函数、黎曼函数的分析性质。

The Riemann function in the mathematical analysis of learning play a vital role .

黎曼zeta函数的乘积公式

Multiplication formulas of riemann 's zeta - function

以分段均匀玻色子闭弦为例，结合Casimir能量的计算，对用来消除发散的几种正规化方法，如截断法、广义黎曼ζ函数法，作简单讨论。

The Casimir energy for piecewise bosonic strings composed by two segments is calculated . Some regularization used in calculating Casimir energy , such as cut-off method and general ζ - function method , was discussed .

黎曼Ⅺ函数的泰乐系数

The Taylor coefficient of the Riemann ξ - function

本文主要讨论一类特殊的狄利克莱级数的生成函数&黎曼ζ函数。

This article mainly discusses Riemann zeta functions which are a special class of generating functions for Dirichlet series .

但他仍在继续追求那个更加核心的问题，就是检验黎曼ζ函数的零点。

But he continued to pursue the more central problem , that of examining the zeroes of the Riemann zeta-function .

误差始终能保持这样小，基本上就等价于这个命题：黎曼ζ函数的零点全都分布在平面的某条直线上。

It could be shown that the assertion that the error terms remained so very small , was essentially equivalent to the assertion that this Riemann zeta-function took the value zero only at points which all lay on a certain line in the plane .

他想要计算黎曼的ζ函数。

Its purpose was to calculate the Riemann zeta-function .

黎曼ξ－函数的一个推广

A generalization on the Riemann ξ - function

设Φ（t）是黎曼ξ-函数傅里叶余弦变换式中的原函数。

Let Φ( t ) be original function defined by the Fourier transform of Riemann ξ - function .

首先，黎曼的ζ函数的定义，是一个无限项的和式，尽管可以表示成一些其它的形式，但这些变形都要涉及到估算的问题。

Riemann 's zeta-function was defined as the sum of an infinite number of terms , and although this sum could be re-expressed in many different ways , any attempt to evaluate it would in some way involve making an approximation .

非负曲率黎曼流形上穷竭函数的构造

The Construction of Exhaustion Function on Riemannian Manifold with Nonnegative Curvature

黎曼假设等价于黎曼ξ-函数的所有零点是实的。

The Riemann hypothesis is equivalent to the statement that all zeros of the Riemann ξ - function are real .

黎曼假设成立的必要条件是黎曼ξ-函数的泰乐系数满足Turán不等式。

A necessary condition for the Riemann hypothesis to hold is that the Turan inequalities hold , involving the Taylor coefficients of the Riemann ξ - function .