Daniel Alan Goldston
Daniel Alan Goldston is an American mathematician specializing in number theory and a professor of mathematics at San Jose State University. He is best known for the GPY theorem, proved with János Pintz and Cem Yıldırım, which established that gaps between consecutive primes can be arbitrarily small relative to the average spacing. His recent collaborative work applies Montgomery's pair correlation method to study zeros of the Riemann zeta-function on the critical line, obtaining conditional results showing that at least 67.25% of zeros lie on the critical line under certain assumptions. He was awarded the Cole Prize in 2014 and named a fellow of the American Mathematical Society in 2021.
“An unreleased Claude research model "increased the lower bound for the fraction of zeros of the Riemann zeta function that satisfy the hypothesis from 41.6% to 67.2%"”
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