On Nyman, Beurling and Baez-Duarte's Hilbert Space Reformulation of the Riemann Hypothesis

[摘要] 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.

[学科分类] 数学（综合）

[关键词] Riemann hypothesis;Hilbert space;total set;semigroups.