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20122025
most citedThe Average Number of Goldbach Representations and Zero-Free Regions of the Riemann Zeta-Function

3 citations · 8 across the 8 of their papers we have counts for

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Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis

Daniel A. Goldston, Junghun Lee, Jordan Schettler +1

In an earlier paper, we proved that Montgomery's Pair Correlation Conjecture (PCC) for zeros of the Riemann zeta-function can be used to prove without the assumption of the Riemann…

math.NT2025

Pair Correlation Conjecture for the Zeros of the Riemann Zeta-function I: Simple and Critical Zeros

Daniel Alan Goldston, Junghun Lee, Jordan Schettler +1

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. Hi…