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

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

2006-07-28

arxiv.org/abs/math/0607733v1

Mathematics

Number Theory

10 pages

Scientific paper

There has been a surge of interest of late in an old result of Nyman and 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, and reveal the essential simplicity of the main results.

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