A Divergent Vasyunin Correction
نویسنده
چکیده
Abstract. V. I. Vasyunin has introduced special sequences of step functions related to the strong Nyman-Beurling criterion that converge pointwise to 1 in [1,∞). We show here that the first and simplest such sequence considered by Vasyunin diverges in L1((1,∞), x dx), which of course precludes the L2((1,∞), x dx)-convergence needed for the Riemann hypothesis. Whether all sequences considered by this author also diverge remains an interesting open question.
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