Juncos, Daniel Mario
(2011)
On the Baez-Duarte Approach to the Nyman-Beaurling Criterion for the Riemann Hypothesis.
Master's Thesis, University of Pittsburgh.
(Unpublished)
Abstract
The Nyman-Beurling Criterion paraphrases the Riemann Hypothesis as a closure problem in a Hilbert space. The simplest version of this, due to Baez-Duarte, states that RH is equivalent to one particular element in a Hilbert space being in the closure of a span of countably many other elements. We investigate this numerically and analytically. In particular, we establish new formulas for the inner products of the vectors involved.
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Details
| Item Type: |
University of Pittsburgh ETD
|
| Status: |
Unpublished |
| Creators/Authors: |
| Creators | Email | Pitt Username | ORCID  |
|---|
| Juncos, Daniel Mario | dmj18@pitt.edu | DMJ18 | |
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| ETD Committee: |
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| Date: |
6 June 2011 |
| Date Type: |
Completion |
| Defense Date: |
21 April 2011 |
| Approval Date: |
6 June 2011 |
| Submission Date: |
22 April 2011 |
| Access Restriction: |
5 year -- Restrict access to University of Pittsburgh for a period of 5 years. |
| Institution: |
University of Pittsburgh |
| Schools and Programs: |
Dietrich School of Arts and Sciences > Mathematics |
| Degree: |
MS - Master of Science |
| Thesis Type: |
Master's Thesis |
| Refereed: |
Yes |
| Uncontrolled Keywords: |
Baez-Duarte; Riemann Hypothesis |
| Other ID: |
http://etd.library.pitt.edu/ETD/available/etd-04222011-135102/, etd-04222011-135102 |
| Date Deposited: |
10 Nov 2011 19:41 |
| Last Modified: |
15 Nov 2016 13:42 |
| URI: |
http://d-scholarship.pitt.edu/id/eprint/7545 |
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