Mathematics : Riemann Hypothesis 4

Hello, everyone who likes mathematics 🧮

Have you been acquainted with the Riemann Hypothesis a little bit? Here are so many parts are over my standard but the expression and depiction are still clear. Hope you can have some harvest from these videos. Actually just like you have seen, these formulas are has been over the standard of bachelor, even the master and doctor. Hope you have something interesting part in it.

The difficulty lies in its connection to the deep structure of number theory (prime number distribution) and complex analysis, involving the subtle behavior of the zeros of the zeta function. Behind the seemingly simple conjecture lies an extremely complex interweaving of analytical, algebraic, geometric, and stochastic theories, spanning the boundaries of multiple branches of mathematics. Currently, there is no unified language to fully solve it, making it one of the most challenging problems in mathematics.

Starting with the convergence of trigonometric series, Riemann proposed the Riemannian integrability theory, and his research on the distribution of prime numbers laid the foundation for analytic number theory. Riemann was the first to introduce concepts such as Riemannian surfaces and Riemannian manifolds, paving the way for the development of topology and differential geometry. Furthermore, the Riemannian geometry he established provided mathematical tools for general relativity.

Hahaha………………so stupefied,

Will I obtain another bachelor of math or credit of math?

To esteem the math is to learn it and always feel its almighty so really and earnestly.