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:
“Growing up human is uniquely a matter of social relations rather than biology. What we learn from connections within the family takes the place of instincts that program the behavior of animals; which raises the question, how good are these connections?”
—Elizabeth Janeway (b. 1913)
“The fact that behavior is “normal,” or consistent with childhood development, does not necessarily make it desirable or acceptable...Undesirable impulses do not have to be embraces as something good in order to be accepted as normal. Neither does children’s behavior that is unacceptable have to be condemned as “bad,” in order to bring it under control.”
—Elaine Heffner (20th century)