  A certain subspace of the Hilbert space of square-integrable functions on the
unit interval has been considered by Nyman, Beurling, and others, with the
result that the constant function 1 belongs to it if and only if the Riemann
Hypothesis holds. I show that the product of |1 - 1/rho| taken over the zeros
with real parts strictly greater than 1/2, counted with multiplicities, is the
norm of the projection of 1 to this subspace. This provides a quantitative
refinement to Nyman's theorem.

Number Theory