The Riemann hypothesis, a formula related to the distribution of prime numbers, has remained unsolved for more than a century
The answer is in the so-called explicit formula: https://www-users.cse.umn.edu/~garrett/m/mfms/notes_c/mfms_notes_02.pdf
It seems there is a high-quality correlation linear relationship between primes and the modules of the Riemann function zeros. However, there is not a so accurate inverse relation... The same to say that one can express the prime numbers with the Riemann function zeros but not the zeros with the primes... As there are an infinite number of prime numbers there is also an infinite number of Riemann function zeros sharing the same characteristics.
The great convergence between the location of zeros for zeta function and the gaps positions between prime numbers of the new rule(that mention at attached file ) are continues to an infinite (see table3) . This is evidence that the zeros of zeta do not exactly represent the location of the gaps between the prime numbers. But it is very close to the numbers of gaps of new rule, so that we think there is relation between the zeros of zeta function with the number of primes .
If we say there is not a so accurate inverse relation, then can we get an inverse approximation relation and depend on it to find the form as approximation form.
- Badges
- Science topic
- Similar topics
- Mathematical Sciences
- Graphs