% Bibliography for main.tex (paper_p3).  Verification status of each entry is recorded in a comment:
%   [read]     text read (in this project: see LIT_LEOPOLDT_CUBIC.md)
%   [abstract] abstract / publisher page checked on 2026-10-24
%   [standard] standard reference used for standard results; theorem numbers cited at chapter/section level only
%   [biblio]   bibliographic data only (content not checked) -- cited only for attribution

% [standard]
@book{NSW,
  author    = {Neukirch, J{\"u}rgen and Schmidt, Alexander and Wingberg, Kay},
  title     = {Cohomology of Number Fields},
  edition   = {2},
  series    = {Grundlehren der mathematischen Wissenschaften},
  volume    = {323},
  publisher = {Springer-Verlag, Berlin},
  year      = {2008},
}

% [standard]
@book{GrasCFT,
  author    = {Gras, Georges},
  title     = {Class Field Theory: From Theory to Practice},
  series    = {Springer Monographs in Mathematics},
  publisher = {Springer-Verlag, Berlin},
  year      = {2003},
}

% [standard]
@book{Koch,
  author    = {Koch, Helmut},
  title     = {Galois Theory of $p$-Extensions},
  series    = {Springer Monographs in Mathematics},
  publisher = {Springer-Verlag, Berlin},
  year      = {2002},
}

% [abstract] numdam / centre-mersenne page; Crossref checked (2019, no. 2, 29--51)
@article{GrasPrat,
  author  = {Gras, Georges},
  title   = {On $p$-rationality of number fields. {A}pplications -- {PARI/GP} programs},
  journal = {Publ. Math. Besan{\c{c}}on Alg{\`e}bre Th{\'e}orie Nr.},
  year    = {2019},
  number  = {2},
  pages   = {29--51},
  doi     = {10.5802/pmb.35},
}

% [abstract] numdam JTNB_1993__5_2_343_0
@article{JNQD,
  author  = {Jaulent, Jean-Fran{\c{c}}ois and Nguyen Quang Do, Thong},
  title   = {Corps $p$-rationnels, corps $p$-r{\'e}guliers, et ramification restreinte},
  journal = {J. Th{\'e}or. Nombres Bordeaux},
  volume  = {5},
  number  = {2},
  year    = {1993},
  pages   = {343--363},
}

% [biblio] content not checked; existence confirmed only through citations in arXiv:2208.04214 and arXiv:2103.15648
@incollection{MNQD,
  author    = {Movahhedi, Abbas and Nguyen Quang Do, Thong},
  title     = {Sur l'arithm{\'e}tique des corps de nombres $p$-rationnels},
  booktitle = {S{\'e}minaire de {T}h{\'e}orie des {N}ombres, {P}aris 1987--88},
  series    = {Progr. Math.},
  volume    = {81},
  publisher = {Birkh{\"a}user Boston},
  year      = {1990},
}

% [abstract] Crossref + arXiv checked 2026-10-24
@article{GrasKL,
  author  = {Gras, Georges},
  title   = {The $p$-adic {K}ummer--{L}eopoldt constant: normalized $p$-adic regulator},
  journal = {Int. J. Number Theory},
  volume  = {14},
  number  = {2},
  year    = {2018},
  pages   = {329--337},
  doi     = {10.1142/S1793042118500203},
}

% [read] (agent-read, LIT_LEOPOLDT_CUBIC.md section 1); Crossref checked 2026-10-24
@article{HZ,
  author  = {Hofmann, Tommy and Zhang, Yinan},
  title   = {Valuations of $p$-adic regulators of cyclic cubic fields},
  journal = {J. Number Theory},
  volume  = {169},
  year    = {2016},
  pages   = {86--102},
  doi     = {10.1016/j.jnt.2016.05.016},
}

% [read] appendix Thm A.2 read in arXiv v5 on 2026-10-24 (Leo(E,3) for totally real Galois S3 E with Disc(O_E) < 10^20);
% Crossref checked
@article{JN,
  author  = {Johnston, Henri and Nickel, Andreas},
  title   = {On the $p$-adic {S}tark conjecture at $s=1$ and applications},
  note    = {With an appendix by T. Hofmann, H. Johnston and A. Nickel},
  journal = {J. Lond. Math. Soc. (2)},
  volume  = {101},
  number  = {3},
  year    = {2020},
  pages   = {1320--1354},
  doi     = {10.1112/jlms.12310},
}

% [read] (agent-read, LIT_LEOPOLDT_CUBIC.md section 5); Crossref checked 2026-10-24
@article{FJ,
  author  = {Ferri, Fabio and Johnston, Henri},
  title   = {Applications of representation theory and of explicit units to {L}eopoldt's conjecture},
  journal = {Res. Number Theory},
  volume  = {12},
  number  = {2},
  year    = {2026},
  pages   = {Paper No. 32},
  doi     = {10.1007/s40993-026-00717-2},
}

% [abstract] Annals page; Crossref checked
@article{DKV,
  author  = {Dasgupta, Samit and Kakde, Mahesh and Ventullo, Kevin},
  title   = {On the {G}ross--{S}tark conjecture},
  journal = {Ann. of Math. (2)},
  volume  = {188},
  number  = {3},
  year    = {2018},
  pages   = {833--870},
  doi     = {10.4007/annals.2018.188.3.3},
}

% [abstract]
@misc{LQ,
  author = {Li, Hang and Qiu, Derong},
  title  = {On $p$-rationality of cubic and quartic number fields},
  year   = {2023},
  note   = {arXiv:2304.10157},
}

% [standard] Crossref: Crelle 209 (1962) 54--71
@article{Leopoldt,
  author  = {Leopoldt, Heinrich-Wolfgang},
  title   = {Zur {A}rithmetik in abelschen {Z}ahlk{\"o}rpern},
  journal = {J. Reine Angew. Math.},
  volume  = {209},
  year    = {1962},
  pages   = {54--71},
}

% [standard] Crossref: Mathematika 14 (1967) 121--124
@article{Brumer,
  author  = {Brumer, Armand},
  title   = {On the units of algebraic number fields},
  journal = {Mathematika},
  volume  = {14},
  year    = {1967},
  pages   = {121--124},
}

% same author, companion preprint (schanuel/function_field_leopoldt/paper/carlitz_leopoldt.tex)
@misc{KrismanCarlitz,
  author = {Krisman, Shawn},
  title  = {A modular obstruction to the $P$-adic {L}eopoldt conjecture for the {C}arlitz module},
  year   = {2026},
  note   = {Preprint},
}

@misc{PARI,
  author       = {{The PARI~Group}},
  title        = {{PARI/GP} version \texttt{2.17.3}},
  organization = {Univ. Bordeaux},
  year         = {2025},
  note         = {\url{http://pari.math.u-bordeaux.fr/}},
}