\begin{thebibliography}{DHZA22}

\bibitem[Che99]{MR1687658}
Y.~Cheng.
\newblock An explicit upper bound for the {R}iemann zeta-function near the line
  {$\sigma=1$}.
\newblock {\em Rocky Mountain J. Math.}, 29(1):115--140, 1999.

\bibitem[DHZA22]{zbMATH07557592}
D.~Dona, H.~A. Helfgott, and S.~Zuniga~Alterman.
\newblock Explicit {{\(L^2\)}} bounds for the {R}iemann {{\(\zeta\)}} function.
\newblock {\em J. Th{\'e}or. Nombres Bordx.}, 34(1):91--133, 2022.

\bibitem[dR24]{delaReyna}
J.~A. de~Reyna.
\newblock On the approximation of the zeta function by {Dirichlet} polynomials,
  2024.
\newblock Preprint. Available as \url{https://arxiv.org/abs/2406.16667}.

\bibitem[HL21]{zbMATH02601353}
G.~H. Hardy and J.~E. Littlewood.
\newblock The zeros of {Riemann}'s zeta-function on the critical line.
\newblock {\em Math. Z.}, 10:283--317, 1921.

\bibitem[Kad13]{MR3105334}
H.~Kadiri.
\newblock A zero density result for the {R}iemann zeta function.
\newblock {\em Acta Arith.}, 160(2):185--200, 2013.

\bibitem[MV07]{MR2378655}
H.~L. Montgomery and R.~C. Vaughan.
\newblock {\em Multiplicative number theory. {I}. {C}lassical theory},
  volume~97 of {\em Cambridge Studies in Advanced Mathematics}.
\newblock Cambridge University Press, Cambridge, 2007.

\bibitem[Sim20]{MR4114203}
A.~Simoni{\v c}.
\newblock Explicit zero density estimate for the {R}iemann zeta-function near
  the critical line.
\newblock {\em J. Math. Anal. Appl.}, 491(1):124303, 41, 2020.

\bibitem[Ten15]{zbMATH06471876}
G.~Tenenbaum.
\newblock {\em Introduction to analytic and probabilistic number theory.
  {Transl}. from the 3rd {French} edition by {Patrick} {D}. {F}. {Ion}}, volume
  163 of {\em Grad. Stud. Math.}
\newblock Providence, RI: American Mathematical Society (AMS), 3rd expanded ed.
  edition, 2015.

\bibitem[Tit86]{MR882550}
E.~C. Titchmarsh.
\newblock {\em The theory of the {R}iemann zeta-function}.
\newblock The Clarendon Press, Oxford University Press, New York, second
  edition, 1986.
\newblock Edited and with a preface by D. R. Heath-Brown.

\end{thebibliography}
