Effective method of computing Li's coefficients and their properties
Abstract
In this paper we present an effective method for computing certain real coefficients λn which appear in a criterion for the Riemann hypothesis proved by Xian-Jin Li. With the use of this method a sequence of over three-thousand λn's has been calculated. This sequence reveals a peculiar and unexpected behavior: it can be split into a strictly growing trend and some tiny oscillations superimposed on this trend.
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