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:
“Temperament is the natural, inborn style of behavior of each individual. Its the how of behavior, not the why.... The question is not, Why does he behave a certain way if he doesnt get a cookie? but rather, When he doesnt get a cookie, how does he express his displeasure...? The environmentand your behavior as a parentcan influence temperament and interplay with it, but it is not the cause of temperamental characteristics.”
—Stanley Turecki (20th century)
“The confusion of emotions with behavior causes no end of unnecessary trouble to both adults and children. Behavior can be commanded; emotions cant. An adult can put controls on a childs behaviorat least part of the timebut how do you put controls on what a child feels? An adult can impose controls on his own behaviorif hes grown upbut how does he order what he feels?”
—Leontine Young (20th century)