0 M ar 2 00 6 Báez - Duarte ’ s Criterion for the Riemann Hypothesis and Rice ’ s Integrals ∗
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چکیده
Criterion for the Riemann hypothesis found by Báez-Duarte involves certain real coefficients ck defined as alternating binomial sums. These coefficients can be effectively investigated using Rice’s integrals. Their behavior exhibits typical trend (due to trivial zeros of zeta) and fading oscillations (due to complex zeros). This method enables to calculate ck for large values of k at least to k = 4 · 10. Preliminary version, please do not distribute e-mail:[email protected]
منابع مشابه
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تاریخ انتشار 2008