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On the Baez-Duarte Approach to the Nyman-Beaurling Criterion for the Riemann Hypothesis

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 (Unpublished)

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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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Item Type: University of Pittsburgh ETD
Status: Unpublished
CreatorsEmailPitt UsernameORCID
Juncos, Daniel Mariodmj18@pitt.eduDMJ18
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairBorisov, Alexanderborisov@pitt.eduBORISOV
Committee MemberWheeler, Jeffreyjwheeler@pitt.eduJWHEELER
Committee MemberKaveh, Kiumarskaveh@pitt.eduKAVEH
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:, etd-04222011-135102
Date Deposited: 10 Nov 2011 19:41
Last Modified: 15 Nov 2016 13:42


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