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摘要
It is known that the Riemann hypothesis holds if and only if the function chi((0,1)) can be approximated by linear combinations of u(alpha) in L-2(0,1). Here u(alpha)(x) is defined by [alpha/x] - alpha[1/x] for 0 < alpha < 1. In this note we generalize the Beurling's equivalent condition by replacing the function chi((0,1)) with chi((a,b)) for any 0 <= a < b <= 1.
- 出版日期2016-7
