On Nyman, Beurling and Baez-Duarte’s Hilbert space reformulation of the Riemann hypothesis
By Bhaskar Bagchi. 2006
49 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/d1b10797ab66dbe9c79fabdc54d4608e9de8fec8
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In Applied Mathematics
In Mathematical Physics
Citations in the corpus
- Period functions and cotangent sums (2011, methodology): “…= 0, where d2N = infAN 1 2π ∫ ∞ −∞ ∣∣1− ζ AN ( 12 + i t)∣∣2 dt1 4 + t 2 and the infimum is over all the Dirichlet polynomial AN (s)= ∑N n=1 an/n s of length N ; see [Bagchi 2006] for a nice account of the Nyman–Beurling approach to the 226 Sandro Bettin and Brian Conrey hk ν(h/k) for 1 ≤ h ≤ 5k,…”