\begin{thebibliography}{10}

\bibitem{Beukers1987}
Frits Beukers.
\newblock Irrationality proofs using modular forms.
\newblock In {\em Journ\'ees arithm\'etiques de Besan\c con}, number 147-148 in
  Ast\'erisque, pages 271--283. Soci\'et\'e math\'ematique de France, 1987.
\newblock URL: \url{http://www.numdam.org/item/AST_1987__147-148__271_0}.

\bibitem{BeukersPeters1984}
Frits Beukers and Chris A.~M. Peters.
\newblock A family of {$K3$} surfaces and {$\zeta (3)$}.
\newblock {\em J. Reine Angew. Math.}, 351:42--54, 1984.
\newblock \href {http://dx.doi.org/10.1515/crll.1984.351.42}
  {\path{doi:10.1515/crll.1984.351.42}}.

\bibitem{BlochVlasenko2019}
Spencer Bloch and Masha Vlasenko.
\newblock Gamma functions, monodromy and {F}robenius constants, 2019.
\newblock \href {http://arxiv.org/abs/1908.07501} {\path{arXiv:1908.07501}}.

\bibitem{Brown2019}
Francis Brown.
\newblock From the {D}eligne-{I}hara conjecture to multiple modular values,
  2019.
\newblock \href {http://arxiv.org/abs/1904.00179} {\path{arXiv:1904.00179}}.

\bibitem{BrownHain2018}
Francis Brown and Richard Hain.
\newblock Algebraic de {R}ham theory for weakly holomorphic modular forms of
  level one.
\newblock {\em Algebra Number Theory}, 12(3):723--750, 2018.
\newblock \href {http://dx.doi.org/10.2140/ant.2018.12.723}
  {\path{doi:10.2140/ant.2018.12.723}}.

\bibitem{CynkMeyer2007}
Slawomir Cynk and Christian Meyer.
\newblock Modular {C}alabi-{Y}au threefolds of level eight.
\newblock {\em Internat. J. Math.}, 18(3):331--347, 2007.
\newblock \href {http://dx.doi.org/10.1142/S0129167X07004126}
  {\path{doi:10.1142/S0129167X07004126}}.

\bibitem{Eichler1957}
Martin Eichler.
\newblock Eine {V}erallgemeinerung der {A}belschen {I}ntegrale.
\newblock {\em Math. Z.}, 67:267--298, 1957.
\newblock \href {http://dx.doi.org/10.1007/BF01258863}
  {\path{doi:10.1007/BF01258863}}.

\bibitem{Golyshev2007}
Vasily~V. Golyshev.
\newblock Classification problems and mirror duality.
\newblock In {\em Surveys in geometry and number theory: reports on
  contemporary {R}ussian mathematics}, volume 338 of {\em London Math. Soc.
  Lecture Note Ser.}, pages 88--121. Cambridge Univ. Press, Cambridge, 2007.
\newblock \href {http://dx.doi.org/10.1017/CBO9780511721472.004}
  {\path{doi:10.1017/CBO9780511721472.004}}.

\bibitem{GolyshevvanStratenZagier2019}
Vasily~V. Golyshev, Duco van Straten, and Don Zagier.
\newblock Dimensional interpolation and the {S}elberg integral.
\newblock {\em J. Geom. Phys.}, 145:103455, 7, 2019.
\newblock \href {http://dx.doi.org/10.1016/j.geomphys.2019.06.006}
  {\path{doi:10.1016/j.geomphys.2019.06.006}}.

\bibitem{GolyshevZagier2016}
Vasily~V. Golyshev and Don Zagier.
\newblock Proof of the gamma conjecture for {F}ano 3-folds with a {P}icard
  lattice of rank one.
\newblock {\em Izv. Ross. Akad. Nauk Ser. Mat.}, 80(1):27--54, 2016.
\newblock \href {http://dx.doi.org/10.4213/im8343} {\path{doi:10.4213/im8343}}.

\bibitem{Kalmykov}
A.~Kalmykov.
\newblock Mirror symmetry for {J}acobians of hyperelliptic curves.
\newblock Unpublished.
\newblock URL:
  \url{https://www.math.uzh.ch/fileadmin/user/arkalm/publikation/mshyperelliptic.pdf}.

\bibitem{KlemmScheideggerZagier}
Albrecht Klemm, Emanuel Scheidegger, and Don Zagier.
\newblock Periods and quasiperiods of modular forms and {D}-brane masses for
  the mirror quintic.
\newblock In preparation.

\bibitem{LoeserSabbah1991a}
Fran\c{c}ois Loeser and Claude Sabbah.
\newblock \'{E}quations aux diff\'{e}rences finies et d\'{e}terminants
  d'int\'{e}grales de fonctions multiformes.
\newblock {\em Comment. Math. Helv.}, 66(3):458--503, 1991.
\newblock \href {http://dx.doi.org/10.1007/BF02566659}
  {\path{doi:10.1007/BF02566659}}.

\bibitem{Meyer2005}
Christian Meyer.
\newblock {\em Modular {C}alabi-{Y}au threefolds}, volume~22 of {\em Fields
  Institute Monographs}.
\newblock American Mathematical Society, Providence, RI, 2005.
\newblock \href {http://dx.doi.org/10.1090/fim/022}
  {\path{doi:10.1090/fim/022}}.

\bibitem{Rodriguez-Villegas2003}
Fernando Rodriguez-Villegas.
\newblock Hypergeometric families of {C}alabi-{Y}au manifolds.
\newblock In {\em Calabi-{Y}au varieties and mirror symmetry ({T}oronto, {ON},
  2001)}, volume~38 of {\em Fields Inst. Commun.}, pages 223--231. Amer. Math.
  Soc., Providence, RI, 2003.
\newblock \href {http://dx.doi.org/10.1090/fic/038}
  {\path{doi:10.1090/fic/038}}.

\bibitem{RogersWanZucker2015}
Mathew~D. Rogers, James Gu~Feng Wan, and I.~John Zucker.
\newblock Moments of elliptic integrals and critical {$L$}-values.
\newblock {\em Ramanujan J.}, 37(1):113--130, 2015.
\newblock \href {http://dx.doi.org/10.1007/s11139-014-9584-5}
  {\path{doi:10.1007/s11139-014-9584-5}}.

\bibitem{SaitoYui2001}
Masa-Hiko Saito and Noriko Yui.
\newblock The modularity conjecture for rigid {C}alabi-{Y}au threefolds over
  {$Q$}.
\newblock {\em J. Math. Kyoto Univ.}, 41(2):403--419, 2001.
\newblock \href {http://dx.doi.org/10.1215/kjm/1250517640}
  {\path{doi:10.1215/kjm/1250517640}}.

\bibitem{Schoen1988}
Chad Schoen.
\newblock On fiber products of rational elliptic surfaces with section.
\newblock {\em Math. Z.}, 197(2):177--199, 1988.
\newblock \href {http://dx.doi.org/10.1007/BF01215188}
  {\path{doi:10.1007/BF01215188}}.

\bibitem{Yui2003}
Noriko Yui.
\newblock Update on the modularity of {C}alabi-{Y}au varieties.
\newblock In {\em Calabi-{Y}au varieties and mirror symmetry ({T}oronto, {ON},
  2001)}, volume~38 of {\em Fields Inst. Commun.}, pages 307--362. Amer. Math.
  Soc., Providence, RI, 2003.
\newblock With an appendix by Helena Verrill.
\newblock \href {http://dx.doi.org/10.1090/fic/038/17}
  {\path{doi:10.1090/fic/038/17}}.

\bibitem{Zagier2018}
Don Zagier.
\newblock The arithmetic and topology of differential equations.
\newblock In {\em European {C}ongress of {M}athematics}, pages 717--776. Eur.
  Math. Soc., Z\"{u}rich, 2018.
\newblock \href {http://dx.doi.org/10.4171/176-1/33}
  {\path{doi:10.4171/176-1/33}}.

\end{thebibliography}
