Large spaces between the zeros of the Riemann zeta-function and random matrix theory II

摘要

We develop the theory set out in Part 1 [R.R. Hall, Large spaces between the zeros of the Riemann zeta-function and random matrix theory, J. Number Theory 109 (2004) 240-265] and in particular provide a lower bound (and almost sure evaluation) for Lambda(7). The square of this number is rational, as were the previous values, but still rather surprizing. (c) 2008 Elsevier Inc. All rights reserved.