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- W2618578045 abstract "A crucial role in the Nyman-Beurling-Baez-Duarte approach to the Riemann Hypothesis is played by the distance [ d_N^2:=inf_{A_N}frac{1}{2pi}int_{-infty}^inftyleft|1-zeta A_Nleft(frac{1}{2}+itright)right|^2frac{dt}{frac{1}{4}+t^2}:, ] where the infimum is over all Dirichlet polynomials $$A_N(s)=sum_{n=1}^{N}frac{a_n}{n^s}$$ of length $N$. In this paper we investigate $d_N^2$ under the assumption that the Riemann zeta function has four non-trivial zeros off the critical line. Thus we obtain a criterion for the non validity of the Riemann Hypothesis." @default.
- W2618578045 created "2017-06-05" @default.
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- W2618578045 date "2017-05-28" @default.
- W2618578045 modified "2023-10-11" @default.
- W2618578045 title "A criterion related to the Riemann Hypothesis" @default.
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- W2618578045 hasPublicationYear "2017" @default.
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