The Saddle-Point Method and the Li Coefficients
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AbstractIn this paper, we apply the saddle-point method in conjunction with the theory of the Nörlund–Rice integrals to derive precise asymptotic formula for the generalized Li coefficients established by Omar and Mazhouda. Actually, for any function F in the Selberg class and under the Generalized Riemann Hypothesis, we havewithwhere γ is the Euler's constant and the notation is as below.
2015 ◽
Vol 67
(3)
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pp. 597-638
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2003 ◽
Vol DMTCS Proceedings vol. AC,...
(Proceedings)
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1959 ◽
Vol 38
(1-4)
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pp. 1-15
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1990 ◽
Vol 05
(24)
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pp. 1927-1932
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