Effective Method of Computing Li's Coefficients and Their Unexpected 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 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 this trend.
منابع مشابه
Effective Method of Computing Li's Coefficients and Their 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...
متن کامل1 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...
متن کاملComputing 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...
متن کاملun 2 00 4 EFFECTIVE METHOD OF COMPUTING LI ’ S COEFFICIENTS AND THEIR 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 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...
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