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 words behavior of and/or behavior:
“I don’t see much future for the Americans.... Everything about the behavior of American society reveals that it’s half Judaized, and the other half negrified. How can one expect a State like that to hold together?”
—Adolf Hitler (1889–1945)
“There are ... two minimum conditions necessary and sufficient for the existence of a legal system. On the one hand those rules of behavior which are valid according to the system’s ultimate criteria of validity must be generally obeyed, and on the other hand, its rules of recognition specifying the criteria of legal validity and its rules of change and adjudication must be effectively accepted as common public standards of official behavior by its officials.”
—H.L.A. (Herbert Lionel Adolphus)