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Effective method of computing Li's coefficients and their properties | Krzysztof Maslanka
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11 Feb 2004 | Subject: | Number Theory; Numerical Analysis MSC-class: 11M26 | math.NT math.NA | Abstract: | In this paper we present an effective method for computing certain real coefficients $lambda_{n}$ 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 $lambda_{n}$’s has been calculated. This sequence reveals a peculiar and unexpected behavior: it can be split into a strictly growing extit{trend} and some tiny extit{oscillations} superimposed on this trend. | Source: | arXiv, math.NT/0402168 | Services: | Forum | Review | PDF | Favorites |
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