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:
“Two things in America are astonishing: the changeableness of most human behavior and the strange stability of certain principles. Men are constantly on the move, but the spirit of humanity seems almost unmoved.”
—Alexis de Tocqueville (18051859)
Related Phrases
Related Words