un 2 00 4 EFFECTIVE METHOD OF COMPUTING LI ’ S COEFFICIENTS AND THEIR PROPERTIES
نویسنده
چکیده
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.
منابع مشابه
1 1 Fe b 20 04 EFFECTIVE METHOD OF COMPUTING LI ’ S COEFFICIENTS AND THEIR UNEXPECTED PROPERTIES
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 two-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 thi...
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