What is the real part of nontrivial zero of Riemannian zeta function?

That is to say, all nontrivial zeros should be on a straight line? +ti ("critical line"). T is a real number and I is the basic unit of imaginary number. Riemann zeta function along the critical line is sometimes studied by Z function. In fact, the zero point corresponds to the zero point of the zeta function on the critical line.

The distribution of prime numbers in natural numbers is very important in both pure mathematics and applied mathematics. There is no simple rule for the distribution of prime numbers in natural numbers. Riemann (1826- 1866) found that the frequency of prime numbers is closely related to Riemann zeta function.

In 190 1, Helge von Koch pointed out that Riemann conjecture is equivalent to the prime number theorem with strong conditions. Now it has been verified that the prime numbers of 1, 500,000,000 are all valid for this theorem. But whether all the solutions of this theorem are valid or not has not been proved.

Riemann conjecture is regarded as an important problem in contemporary mathematics, mainly because many in-depth and important mathematical and physical results can be proved on the premise of its establishment. Most mathematicians also believe that Riemann conjecture is correct (John Edensor Littlewood and Selberg raised doubts about it. Selberg partially changed his skeptical position in his later years. In a paper in 1989, he speculated that Riemann conjecture should also hold for a wider class of functions. ) The Clay Institute of Mathematics set a prize of $65,438+0,000,000 for the first person who was correctly proved.