zeros and ones

The non-trivial zeros of the Riemann zeta function are complex numbers, and they are located in the critical zone 0 <Ce (s) < 1. The Riemann hypothesis predicted that a specific (non-trivial) zero point of the Riemann zeta function would fall on a specific straight line. However, because the function contained infinite zero points, this conjecture had not been proved yet. The Extraordinary Ordinary Life novel is equally exciting. Everyone is welcome to click and read it!

The non-trivial zero of the Riemann zeta function was an extremely complicated mathematical problem. There was no accurate calculation method at present. Generally, numerical calculation methods could be used to approximate the calculation. For example, numerical approaches, iterations, optimization algorithms, and so on. In addition, there were some algorithms specifically for calculating the non-trivial zero of the Riemann zeta function, such as the Riemann-Siegel formula and the Gram Schmidt orthonormalization method. However, these methods required a certain mathematical background and programming skills to implement. The Extraordinary Ordinary Life novel is equally exciting. Everyone is welcome to click and read it!

Riemann discovered that the distribution of prime numbers was hidden in the zero point distribution of the Riemann zeta function. Riemann attributed the distribution of prime numbers to the problem of functions. He believed that there was a special function (Riemann zeta function), and a series of special points (non-trivial zeros of Riemann zeta function) that made it zero determined the detailed distribution of prime numbers. The real part of the non-trivial zeros of the Riemann zeta function (s is not a value of-2,-4,-6···, etc., these are all trivial zeros) is 1/2, which means that these non-trivial zeros are distributed on the line of the complex plane, Ri (z) = 1/2. By studying the Riemann zero point, one could gain insight into the secrets of the distribution of prime numbers. For example, with the help of these methods, the number of prime numbers less than x could be determined. The distribution of prime numbers was a normal distribution centered on the Riemann formula and the upper limit of the Gauss formula (this was an experimental formula that could only be proved to be a theorem). The Extraordinary Ordinary Life novel is equally exciting. Everyone is welcome to click and read it!

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