Mathematics of Computation

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ISSN 1088-6842(e) ISSN 0025-5718(p)

Asymptotic estimation of $\xi^{(2n)}(1/2)$ : On a conjecture of Farmer and Rhoades

Author(s): Mark W. Coffey.
Journal: Math. Comp. 78 (2009), 1147-1154.
MSC (2000): Primary 11M06, 30D15
Posted: June 20, 2008
MathSciNet review: 2476576
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

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 . We give two separate proofs of this result, with the more general method not restricted to . We briefly describe other approaches to our results, give a heuristic argument, and mention supporting numerical evidence.

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