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Showing 1 to 5 of 5 for “"dedekind zeta function"”.
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Zeros of the Dedekind Zeta-Function
… over two sets of nontrivial zeros of the Riemann zeta-function. Assuming the Riemann Hypothesis, he used this formula and Fourier analysis to prove an estimate for the proportion of simple zeros of the Riemann zeta-function. We prove a generalization of his formula for the nontrivial zeros of the …
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Spectral interpretation of zeros of zeta functions
… are exactly the critical zeros of the Dedekind zeta function of the number field.</p>
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Moments Of Products Of L-Functions
… distribution of the nontrivial zeros of certain Dedekind zeta-functions. In particular, let K be a quadratic number field. Using the mixed second moments of derivatives of the Dedekind zeta-function attached to K on the critical line, we prove the existence of gaps between consecutive zeros of …
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On the Theory of Zeta-functions and L-functions
… a body of knowledge that concerns Riemann zeta-function and its generalizations in a cohesive manner. In particular, we have studied and mentioned some recent results regarding Hurwitz and Lerch functions, as well as Dirichlet's L-function. We have also investigated some fundamental …
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Ramanujan's identities, Voronoi summation formula, and zeros of partial sums of zeta and L-functions
Made available in DSpace on 2015-09-29T20:38:57Z (GMT). No. of bitstreams: 2 ROY-DISSERTATION-2015.pdf: 821854 bytes, checksum: 7abf6b7f9b1c512d8963ac66590c92b7 (MD5) LICENSE.txt: 4208 bytes, checksum: 502c6a39161a3e8620cd8507bf46885c (MD5) Previous issue date: 2015-08-03