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Blog Archives
Two Arguments that the Nontrivial Zeros of the Riemann Zeta Function are Irrational
We have used the first 2600 nontrivial zeros γl of the Riemann zeta function calculated with 1000 digits accuracy and developed them into the continued fractions. We calculated the geometrical means of the denominato ...
Evidence in Favor of the Baez-Duarte Criterion for the Riemann Hypothesis
We present the results of the numerical experiments in favor of the Baez-Duarte criterion for the Riemann Hypothesis. We give formulae allowing calculation of numerical values of the numbers ck appearing in this criterion for arbitrary large k. We present plots of c< ...
Some remarks on the Báez-Duarte criterion for the Riemann Hypothesis
In this paper we are going to describe the results of the computer experiment, which in principle can rule out validity of the Riemann Hypothesis (RH). We use the sequence ck appearing in the Báez-Duarte criterion for the RH and compare two formulas for these numbers. We describe the mechanism ...