Z Function - Behavior of The Z-function

Behavior of The Z-function

From the critical line theorem, it follows that the density of the real zeros of the Z-function is

for some constant c > 2/5. Hence, the number of zeros in an interval of a given size slowly increases. If the Riemann hypothesis is true, all of the zeros in the critical strip are real zeros, and the constant c is one. It is also postulated that all of these zeros are simple zeros.

Read more about this topic:  Z Function

Famous quotes containing the word behavior:

    If you are willing to inconvenience yourself in the name of discipline, the battle is half over. Leave Grandma’s early if the children are acting impossible. Depart the ballpark in the sixth inning if you’ve warned the kids and their behavior is still poor. If we do something like this once, our kids will remember it for a long time.
    Fred G. Gosman (20th century)