More than five-twelfths of the zeros of $$\zeta $$ are on the critical line

@article{Pratt2018MoreTF,
  title={More than five-twelfths of the zeros of \$\$\zeta \$\$ are on the critical line},
  author={Kyle Pratt and Nicolas Robles and Alexandru Zaharescu and Dirk Zeindler},
  journal={arXiv: Number Theory},
  year={2018}
}
The second moment of the Riemann zeta-function twisted by a normalized Dirichlet polynomial with coefficients of the form $(\mu \star \Lambda_1^{\star k_1} \star \Lambda_2^{\star k_2} \star \cdots \star \Lambda_d^{\star k_d})$ is computed unconditionally by means of the autocorrelation of ratios of $\zeta$ techniques from Conrey, Farmer, Keating, Rubinstein and Snaith (2005), Conrey, Farmer and Zirnbauer (2008) as well as Conrey and Snaith (2007). This in turn allows us to describe the… 
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