% Bibliography of paper.tex (plain style). Generated by build/assemble.py: entries reused from paper_note/paper.bib,
% plus build/bib_new.bib.

@book{BW07,
  author    = {A. Baker and G. W\"ustholz},
  title     = {{Logarithmic Forms and Diophantine Geometry}},
  series    = {New Math.\ Monogr.},
  volume    = {9},
  publisher = {Cambridge Univ.\ Press},
  year      = {2007},
}

@incollection{Be83,
  author    = {D. Bertrand},
  title     = {{Endomorphismes de groupes alg\'ebriques; applications arithm\'etiques}},
  booktitle = {Approximations diophantiennes et nombres transcendants (Luminy 1982)},
  series    = {Progr.\ Math.},
  volume    = {31},
  publisher = {Birkh\"auser},
  year      = {1983},
  pages     = {1--45},
}

@misc{Be85,
  author       = {D. Bertrand},
  title        = {{La th\'eorie de Baker revisit\'ee}},
  howpublished = {Publ.\ Math.\ Univ.\ P. et M. Curie \textbf{73}, Groupe d'\'Etude sur les Probl\`emes Diophantiens 1984--85, no.~2, 25~pp.},
  note         = {The reference list of \cite{PW88} gives the title as \emph{La m\'ethode de Baker revisit\'ee}},
}

@article{Di04,
  author  = {G. Diaz},
  title   = {{Utilisation de la conjugaison complexe dans l'\'etude de la transcendance de valeurs de la fonction exponentielle usuelle}},
  journal = {J. Th\'eor.\ Nombres Bordeaux},
  volume  = {16},
  year    = {2004},
  pages   = {535--553},
}

@article{Gr78,
  author  = {B. H. Gross},
  title   = {{On the periods of abelian integrals and a formula of Chowla and Selberg}},
  journal = {Invent.\ Math.},
  volume  = {45},
  year    = {1978},
  pages   = {193--211},
  note    = {with an appendix by D. E. Rohrlich},
}

@article{La82,
  author  = {M. Laurent},
  title   = {{Transcendance de p\'eriodes d'int\'egrales elliptiques II}},
  journal = {J. reine angew.\ Math.},
  volume  = {333},
  year    = {1982},
  pages   = {144--161},
}

@misc{LSG,
  author       = {S. Krisman},
  title        = {{\texttt{waldschmidt-subgroup-theorem}: a Lean formalization of Waldschmidt's subgroup theorem with period term for groups with elliptic factors}},
  howpublished = {\url{https://github.com/telaviv/waldschmidt-subgroup-theorem}},
  url          = {https://github.com/telaviv/waldschmidt-subgroup-theorem},
  note         = {commit adcfce9},
}

@unpublished{KrL,
  author = {S. Krisman},
  title  = {{A Lean formalization of Waldschmidt's subgroup theorem with period term for groups with elliptic factors}},
  note   = {Hexagon preprint 2611.00170v1, \url{https://hexagonmath.org/2611.00170v1}},
  year   = {2026},
}

@misc{LM,
  author       = {S. Krisman},
  title        = {{\texttt{four-exponentials-cm-periods}: a Lean~4 certificate}},
  howpublished = {\url{https://github.com/telaviv/four-exponentials-cm-periods}},
  url          = {https://github.com/telaviv/four-exponentials-cm-periods},
  note         = {depending on \cite{LSG}, commit a02679d},
}

@book{Ma75,
  author    = {D. W. Masser},
  title     = {{Elliptic Functions and Transcendence}},
  series    = {Lecture Notes in Math.},
  volume    = {437},
  publisher = {Springer},
  year      = {1975},
}

@book{MM74,
  author    = {B. Mazur and W. Messing},
  title     = {{Universal Extensions and One Dimensional Crystalline Cohomology}},
  series    = {Lecture Notes in Math.},
  volume    = {370},
  publisher = {Springer},
  year      = {1974},
}

@article{PW88,
  author  = {P. Philippon and M. Waldschmidt},
  title   = {{Formes lin\'eaires de logarithmes sur les groupes alg\'ebriques commutatifs}},
  journal = {Illinois J. Math.},
  volume  = {32},
  year    = {1988},
  pages   = {281--314},
}

@article{Ph86,
  author  = {P. Philippon},
  title   = {{Lemmes de z\'eros dans les groupes alg\'ebriques commutatifs}},
  journal = {Bull.\ Soc.\ Math.\ France},
  volume  = {114},
  year    = {1986},
  pages   = {355--383},
  note    = {errata et addenda, ibid.\ \textbf{115} (1987), 397--398},
}

@incollection{R1,
  author    = {D. Roy},
  title     = {{Transcendance et questions de r\'epartition dans les groupes alg\'ebriques}},
  editor    = {P. Philippon},
  booktitle = {Approximations diophantiennes et nombres transcendants (Luminy 1990)},
  publisher = {de Gruyter},
  year      = {1992},
  pages     = {249--274},
}

@article{RW93,
  author  = {D. Roy and M. Waldschmidt},
  title   = {{Autour du th\'eor\`eme du sous-groupe alg\'ebrique}},
  journal = {Canad.\ Math.\ Bull.},
  volume  = {36},
  year    = {1993},
  pages   = {358--367},
}

@book{Sh98,
  author    = {G. Shimura},
  title     = {{Abelian Varieties with Complex Multiplication and Modular Functions}},
  series    = {Princeton Math.\ Ser.},
  volume    = {46},
  publisher = {Princeton Univ.\ Press},
  year      = {1998},
}

@book{W79,
  author = {M. Waldschmidt},
  title  = {{Nombres transcendants et groupes alg\'ebriques}},
  series = {Ast\'erisque},
  volume = {69--70},
  publisher = {Soc. Math. France},
  address = {Paris},
  year   = {1979},
  note   = {with appendices by D. Bertrand and J.-P. Serre},
}

@article{W83,
  author  = {M. Waldschmidt},
  title   = {{Sous-groupes analytiques de groupes alg\'ebriques}},
  journal = {Ann.\ of Math.},
  volume  = {117},
  year    = {1983},
  pages   = {627--657},
}

@incollection{W88,
  author    = {M. Waldschmidt},
  title     = {{On the transcendence methods of Gelfond and Schneider in several variables}},
  editor    = {A. Baker},
  booktitle = {New Advances in Transcendence Theory (Durham 1986)},
  publisher = {Cambridge Univ.\ Press},
  year      = {1988},
  pages     = {375--398},
  note      = {Ch.~24},
}

@incollection{W90,
  author    = {M. Waldschmidt},
  title     = {{Dependence of logarithms of algebraic points}},
  editor    = {K. Gy\H{o}ry and G. Hal\'asz},
  booktitle = {Number Theory, Vol.~II (Budapest 1987)},
  series    = {Colloq.\ Math.\ Soc.\ J\'anos Bolyai},
  volume    = {51},
  publisher = {North-Holland},
  address   = {Amsterdam},
  year      = {1990},
  pages     = {1013--1035},
}

@incollection{W05,
  author    = {M. Waldschmidt},
  title     = {{Variations on the six exponentials theorem}},
  editor    = {R. Tandon},
  booktitle = {Algebra and Number Theory (Hyderabad 2003)},
  publisher = {Hindustan Book Agency},
  year      = {2005},
  pages     = {338--355},
}

@incollection{W06,
  author    = {M. Waldschmidt},
  title     = {{Elliptic functions and transcendence}},
  booktitle = {Surveys in Number Theory},
  series    = {Dev.\ Math.},
  volume    = {17},
  publisher = {Springer},
  year      = {2008},
  pages     = {143--188},
}

@incollection{W07,
  author    = {M. Waldschmidt},
  title     = {{The role of complex conjugation in transcendental number theory}},
  editor    = {N. Saradha},
  booktitle = {Diophantine Equations (DION 2005, Mumbai)},
  series    = {Tata Inst.\ Fund.\ Res.\ Stud.\ Math.},
  volume    = {20},
  publisher = {Narosa},
  address   = {New Delhi},
  year      = {2008},
  pages     = {297--308},
}

@incollection{W22,
  author    = {M. Waldschmidt},
  title     = {{The four exponentials problem and Schanuel's conjecture}},
  booktitle = {Mathematics Going Forward},
  series    = {Lecture Notes in Math.},
  volume    = {2313},
  publisher = {Springer},
  address   = {Cham},
  year      = {2023},
  pages     = {579--592},
}

@article{We76,
  author  = {A. Weil},
  title   = {{Sur les p\'eriodes des int\'egrales ab\'eliennes}},
  journal = {Comm.\ Pure Appl.\ Math.},
  volume  = {29},
  year    = {1976},
  pages   = {813--819},
}

@article{Wu89,
  author  = {G. W\"ustholz},
  title   = {{Algebraische Punkte auf analytischen Untergruppen algebraischer Gruppen}},
  journal = {Ann.\ of Math.},
  volume  = {129},
  year    = {1989},
  pages   = {501--517},
}

@unpublished{Note,
  author = {S. Krisman},
  title  = {{Four exponentials at CM and Beta periods}},
  note   = {Hexagon preprint 2611.00171v1, \url{https://hexagonmath.org/2611.00171v1}},
  year   = {2026},
}

@article{An82,
  author  = {G. W. Anderson},
  title   = {{Logarithmic derivatives of Dirichlet $L$-functions and the periods of abelian varieties}},
  journal = {Compositio Math.},
  volume  = {45},
  year    = {1982},
  pages   = {315--332},
}

@article{Bl86,
  author  = {D. Blasius},
  title   = {{On the critical values of Hecke $L$-series}},
  journal = {Ann.\ of Math.},
  volume  = {124},
  year    = {1986},
  pages   = {23--63},
}

@incollection{De82,
  author    = {P. Deligne},
  title     = {{Hodge cycles on abelian varieties}},
  booktitle = {P. Deligne, J. S. Milne, A. Ogus, K.-Y. Shih, Hodge Cycles, Motives, and Shimura Varieties},
  series    = {Lecture Notes in Math.},
  volume    = {900},
  publisher = {Springer},
  year      = {1982},
  pages     = {9--100},
  note      = {notes by J. S. Milne},
}

@incollection{KO79,
  author    = {N. Koblitz and A. Ogus},
  title     = {{Algebraicity of some products of values of the $\Gamma$ function}},
  booktitle = {Automorphic Forms, Representations and $L$-Functions},
  series    = {Proc.\ Sympos.\ Pure Math.},
  volume    = {33, part 2},
  publisher = {Amer.\ Math.\ Soc.},
  year      = {1979},
  pages     = {343--346},
  note      = {appendix to P. Deligne, Valeurs de fonctions $L$ et p\'eriodes d'int\'egrales},
}

@article{GU,
  author  = {Z. Gao and E. Ullmo},
  title   = {{Hodge cycles and quadratic relations between holomorphic periods on CM abelian varieties}},
  journal = {J. Inst.\ Math.\ Jussieu},
  volume  = {25},
  number  = {1},
  year    = {2026},
  pages   = {215--249},
  doi     = {10.1017/S1474748025101291},
  note    = {arXiv:2411.12249},
}

@article{GUY,
  author  = {Z. Gao and E. Ullmo and A. Yafaev},
  title   = {{Bi-$\overline{\mathbb Q}$-structures on Hermitian symmetric spaces and quadratic relations between CM periods}},
  journal = {Doc.\ Math.},
  volume  = {31},
  year    = {2026},
  number  = {4},
  pages   = {935--981},
  doi     = {10.4171/dm/1061},
  note    = {arXiv:2401.10488},
}

@book{HW,
  author    = {A. Huber and G. W\"ustholz},
  title     = {{Transcendence and Linear Relations of 1-Periods}},
  series    = {Cambridge Tracts in Math.},
  volume    = {227},
  publisher = {Cambridge Univ.\ Press},
  year      = {2022},
  note      = {we cite the numbering of the arXiv version, arXiv:1805.10104},
}

@article{W13,
  author  = {M. Waldschmidt},
  title   = {{On Ramachandra's contributions to transcendental number theory}},
  journal = {Hardy-Ramanujan J.},
  volume  = {34--35},
  year    = {2013},
  pages   = {18--46},
}

@article{W73,
  author  = {M. Waldschmidt},
  title   = {{Propri\'et\'es arithm\'etiques des valeurs de fonctions m\'eromorphes alg\'ebriquement ind\'ependantes}},
  journal = {Acta Arith.},
  volume  = {23},
  year    = {1973},
  pages   = {19--88},
}

@article{WW85,
  author  = {J. Wolfart and G. W\"ustholz},
  title   = {{Der \"Uberlagerungsradius gewisser algebraischer Kurven und die Werte der Betafunktion an rationalen Stellen}},
  journal = {Math.\ Ann.},
  volume  = {273},
  year    = {1985},
  pages   = {1--15},
}