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:
“Fatalism, whose solving word in all crises of behavior is All striving is vain, will never reign supreme, for the impulse to take life strivingly is indestructible in the race. Moral creeds which speak to that impulse will be widely successful in spite of inconsistency, vagueness, and shadowy determination of expectancy. Man needs a rule for his will, and will invent one if one be not given him.”
—William James (18421910)