论文标题
关注Riemann的假设
A focus on the Riemann's Hypothesis
论文作者
论文摘要
Riemann的假设于1859年提出，涉及Riemann Zeta函数零的位置。 Riemann假设的历史是众所周知的。 1859年，德国数学家B. Riemann向柏林数学学院发表了一篇论文。在该论文中，他提出，当s = 0.5+it时，称为riemann-zeta函数在复数平面上取值0。该假设对数学和物理学世界具有重要意义。这种解决方案将导致无数依赖其真理的定理完成。该函数的十亿个零是通过计算机计算的，并且表明所有函数都在此行上s = 0.5+it。在本文中，我们最初表明Riemann的（Zêta）函数和该函数的分析扩展称为（Aleph））是不同的。除了点s = 1以外，在复杂平面中扩展了此函数后，我们将显示现有部分零等于1/2的真实部分的唯一性。
Riemann's hypothesis, formulated in 1859, concerns the location of the zeros of Riemann's Zeta function. The history of the Riemann hypothesis is well known. In 1859, the German mathematician B. Riemann presented a paper to the Berlin Academy of Mathematic. In that paper, he proposed that this function, called Riemann-zeta function takes values 0 on the complex plane when s=0.5+it. This hypothesis has great significance for the world of mathematics and physics. This solutions would lead to innumerable completions of theorems that rely upon its truth. Over a billion zeros of the function have been calculated by computers and shown that all are on this line s = 0.5+it. In this paper, we initially show that Riemann's (Zêta) function and the analytical extension of this function called (Aleph)) are distinct. After extending this function in the complex plane except the point s=1, we will show the existence and then the uniqueness of real part zeros equal to 1/2.
