Eigenvalues of Differential Operators and Nontrivial Zeros of L-functions
The Hilbert-P\'olya conjecture asserts that the non-trivial zeros of the Riemann zeta function $\zeta(s)$ correspond (in a certain canonical way) to the eigenvalues of some positive operator. R. Meyer constructed a differential operator $D_-$ acting on a function space $\H$ and showed that the...
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BYU ScholarsArchive
2020
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| Online Access: | https://scholarsarchive.byu.edu/etd/8729 https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=9729&context=etd |