At Least Two Fifths of the Zeros of the Riemann Zeta Function Are on the Critical Line
نویسنده
چکیده
Of central importance in number theory is the distribution of the complex zeros of f(s), all of which are in the critical strip 0 < a < 1 and are symmetrically located about the real axis and about the critical line a = 1/2. Riemann conjectured in 1859 that all of these zeros are on the critical line; this conjecture, which is still unproved, is known as the Riemann Hypothesis. The number of zeros of Ç(s) in the region 0 < t < T of the critical strip is denoted N(T) and is given asymptotically by
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