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\bibitem{ABL}
E. Assing, V. Blomer, and J. Li,
\emph{Uniform Titchmarsh divisor problems},
Adv. Math. \textbf{393} (2021), Article 108076.
\href{https://doi.org/10.1016/j.aim.2021.108076}{doi:10.1016/j.aim.2021.108076}.
The section and theorem numbers cited here refer to
\href{https://arxiv.org/abs/2005.13915v1}{arXiv:2005.13915v1}.

\bibitem{AnwarPappalardi}
M. Anwar and F. Pappalardi,
\emph{On simultaneous primitive roots},
Acta Arith. \textbf{180} (2017), no.~1, 35--43.
\href{https://doi.org/10.4064/aa8566-3-2017}{doi:10.4064/aa8566-3-2017}.

\bibitem{Bhargava}
M. Bhargava,
\emph{Every nonsquare integer not equal to $-1$ is a primitive root modulo
 a positive lower density of primes},
Hexagon preprint 2610.00228v1, 14 October 2026.
\href{https://hexagonmath.org/2610.00228v1}{Public manuscript}.

\bibitem{Matthews}
K.~R. Matthews,
\emph{A generalisation of Artin's conjecture for primitive roots},
Acta Arith. \textbf{29} (1976), no.~2, 113--146.
\href{https://doi.org/10.4064/aa-29-2-113-146}{doi:10.4064/aa-29-2-113-146}.

\bibitem{Miyake}
T. Miyake,
\emph{Modular Forms},
Springer Monographs in Mathematics, Springer, Berlin, 2006.
\href{https://doi.org/10.1007/3-540-29593-3}{doi:10.1007/3-540-29593-3}.

\bibitem{AR}
OpenAI,
\emph{Primitive roots for every admissible integer base},
preprint, 4 October 2026.
\href{https://github.com/openai/math/blob/main/preprints/Primitive-roots-for-every-admissible-integer-base-October-4-2026/primitive-roots-all-integer-bases.pdf}{Public manuscript}.

\bibitem{PD}
OpenAI,
\emph{The Poisson--Dirichlet law for prime predecessors},
preprint, 24 September 2026.
\href{https://github.com/openai/math/blob/main/preprints/The-Poisson-Dirichlet-Law-for-Prime-Predecessors-September-24-2026/paper.pdf}{Public manuscript}.

\bibitem{S}
OpenAI,
\emph{Weighted dilation graphs, smooth shifted primes and totient fibers},
preprint, 24 September 2026.
\href{https://github.com/openai/math/blob/main/preprints/Weighted-Dilation-Graphs-Smooth-Shifted-Primes-and-Totient-Fibers-September-24-2026/paper.pdf}{Public manuscript}.

\bibitem{QRH}
OpenAI,
\emph{The Quasi-Riemann Hypothesis: A Zero-Free Half-Plane
 $\Re s>7/8$},
preprint, 30 September 2026.
\href{https://github.com/openai/math/blob/main/preprints/The-Quasi-Riemann-Hypothesis-September-30-2026/paper.pdf}{Public manuscript}.

\end{thebibliography}