\begin{thebibliography}{99}

\bibitem{F18}
S. Fischler,
\emph{Shidlovsky's multiplicity estimate and irrationality of zeta values},
J. Aust. Math. Soc. \textbf{105} (2018), no.~2, 145--172.
\href{https://doi.org/10.1017/S1446788717000386}{doi:10.1017/S1446788717000386}.

\bibitem{F20}
S. Fischler,
\emph{Irrationality of values of $L$-functions of Dirichlet characters},
J. Lond. Math. Soc. \textbf{101} (2020), no.~2, 857--876.
\href{https://doi.org/10.1112/jlms.12290}{doi:10.1112/jlms.12290}.
Theorem numbering follows the
\href{https://www.imo.universite-paris-saclay.fr/~stephane.fischler/Lschi.pdf}
{author version of 10 October 2019}.

\bibitem{F26}
S. Fischler,
\emph{Linear independence of odd zeta values using Siegel's lemma},
J. Lond. Math. Soc. \textbf{113} (2026), no.~4, e70535.
\href{https://doi.org/10.1112/jlms.70535}{doi:10.1112/jlms.70535}.
Statements and section numbers follow the
\href{https://www.imo.universite-paris-saclay.fr/~stephane.fischler/siegel.pdf}
{author version of 26 March 2026}.

\bibitem{KT26}
V. Kumar and R. Tosi,
\emph{Irrationality of values of $L$-functions for real Dirichlet characters},
preprint, 30 October 2026.
\href{https://arxiv.org/abs/2610.41458v1}{arXiv:2610.41458v1}.

\bibitem{M25}
L. Mistiaen,
\emph{Ind\'ependance lin\'eaire de valeurs de fonctions $L$ de Dirichlet},
preprint, 2 December 2025.
\href{https://arxiv.org/abs/2512.02612v1}{arXiv:2512.02612v1}.

\bibitem{M26}
L. Mistiaen,
\emph{Linear independence of values of polylogarithms with periodic
coefficients, outside the disk of convergence},
preprint, 7 October 2026.
\href{https://arxiv.org/abs/2610.09774v1}{arXiv:2610.09774v1}.

\bibitem{RZ03}
T. Rivoal and W. Zudilin,
\emph{Diophantine properties of numbers related to Catalan's constant},
Math. Ann. \textbf{326} (2003), 705--721.
\href{https://doi.org/10.1007/s00208-003-0420-2}
{doi:10.1007/s00208-003-0420-2}.

\end{thebibliography}