3 papers
math.NT2026
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…
math.NT2025
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.NT2024
On Product Formulas of Guillera and Sondow
Shihan Kanungo, Jordan Schettler
In this note, we evaluate a multivariable family of infinite products which generalize Guillera's infinite product for , and Ser's formula (rediscovered by Sondow) for . W…