Abstract
AbstractAssuming the Riemann hypothesis and a hypothesis on small gaps between zeta zeros (see equation (ES 2K) below for a precise definition), we prove a conjecture of Bailey, Bettin, Blower, Conrey, Prokhorov, Rubinstein and Snaith [J. Math. Phys. 60 (2019), no. 8, 083509], which states that for any positive integer K and real number , When , this was essentially a result of Goldston, Gonek and Montgomery [J. Reine Angew. Math. 537 (2001), 105–126] (see Equation (1) below).
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