The UV prolate spectrum matches the zeros of zeta.
basic_science · Level V
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- Record sourced from PubMed, PMID 35609198.
- Also identified by DOI 10.1073/pnas.2123174119 and PMC identifier 9295779.
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Abstract
SignificanceWe show that the eigenvalues of the self-adjoint extension (introduced by A.C. in 1998) of the prolate spheroidal operator reproduce the UV behavior of the squares of zeros of the Riemann zeta function, and we construct an isospectral family of Dirac operators whose spectra have the same UV behavior as those zeros.