Spectral Realization of the Hilbert-Pólya Conjecture
21 Dec 2024
The Riemann Hypothesis, posited by Bernhard Riemann in 1859, has stood as one of the most important unsolved problems in mathematics for over 150 years. Its resolution has profound implications for our understanding of the distribution of prime numbers and touches on numerous areas of mathematics and theoretical physics. Concurrent with efforts to prove the Riemann Hypothesis, mathematicians have long sought to understand the nature of the zeta zeros through various frameworks, one of the most tantalizing being the Hilbert-Pólya Conjecture.