Gwangju National University of Education

Pair correlation conjecture for the zeros of the Riemann zeta‐function I: Simple and critical zeros

Abstract Montgomery in 1973 introduced the pair correlation conjecture (PCC) for zeros of the Riemann zeta‐function. He also conjectured that asymptotically 100% of the zeros are simple. His reasoning to support these two conjectures used the Riemann hypothesis (RH). Building on...