The theta-Laguerre calculus formulation of the Li/Keiper constants

The Riemann hypothesis is equivalent to the nonnegativity of a sequence of real constants , that are certain logarithmic derivatives of the Riemann xi function evaluated at unity. We re-express these constants using the theta-Laguerre calculus. By using integral representations, we reformulate the coefficients together with a closely related sequence . We present a decomposition of the quantities aj into superdominant and subdominant components and give an upper bound on the former and an asymptotic lower bound for the latter. Sufficient estimation of these quantities would lead to confirmation of the Riemann hypothesis.