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摘要
On the hypothesis that the (2k)th moments of the Hardy Z-function are correctly predicted by random matrix theory and the moments of the derivative of Z are correctly predicted by the derivative of the characteristic polynomials of unitary matrices, we establish new large spaces between the zeros of the Riemann zeta-function by employing some Wirtinger-type inequalities. In particular, it is obtained that Lambda(15) >= 6.1392 which means that consecutive nontrivial zeros often differ by at least 6.1392 times the average spacing.
- 出版日期2010
