On certain sums over the non-trivial zeta zeroes
2010 ◽
Vol 466
(2124)
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pp. 3679-3692
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Keyword(s):
We study coefficients b n , expressible as sums over the Li/Keiper constants λ j , that contain information on the Riemann xi function. We present a number of relations for and representations of b n . These include the expression of b n as a sum over non-trivial zeroes of the Riemann zeta function, as well as integral representations. Conditional on the Riemann hypothesis, we provide the asymptotic form of .
1991 ◽
Vol 122
◽
pp. 149-159
◽