@MISC{Coffey_asymptoticestimation, author = {Mark W. Coffey}, title = {ASYMPTOTIC ESTIMATION OF ξ (2n) (1/2): ON A CONJECTURE OF FARMER AND RHOADES}, year = {} }
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Abstract
Abstract. We verify a very recent conjecture of Farmer and Rhoades on the asymptotic rate of growth of the derivatives of the Riemann xi function at s =1/2. We give two separate proofs of this result, with the more general method not restricted to s =1/2. We briefly describe other approaches to our results, give a heuristic argument, and mention supporting numerical evidence.