On Nyman, Beurling and Baez-Duarte's Hilbert space reformulation of the Riemann hypothesis

Bagchi, Bhaskar (2006) On Nyman, Beurling and Baez-Duarte's Hilbert space reformulation of the Riemann hypothesis Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 116 (2). pp. 137-146. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/mathsci/vol116/may2006/PM2568...

Related URL: http://dx.doi.org/10.1007/BF02829783

Abstract

There has been a surge of interest of late in an old result of Nyman; Beurling giving a Hilbert space formulation of the Riemann hypothesis. Many authors have contributed to this circle of ideas; culminating in a beautiful refinement due to Baez-Duarte. The purpose of this little survey is to dis-entangle the resulting web of complications; reveal the essential simplicity of the main results.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Riemann Hypothesis; Hilbert Space; Total Set; Semigroups
ID Code:968
Deposited On:25 Sep 2010 06:49
Last Modified:16 May 2016 12:08

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