% Version-specific references verified against local primary PDFs.
% Citation keys are stable editorial identifiers, not assertions of dates.

@incollection{BakerMontgomery1990,
  author = {Baker, R. C. and Montgomery, H. L.},
  title = {Oscillations of quadratic {$L$}-functions},
  booktitle = {Analytic Number Theory (Allerton Park, IL, 1989)},
  series = {Progress in Mathematics},
  volume = {85},
  publisher = {Birkh{\"a}user Boston},
  address = {Boston, MA},
  year = {1990},
  pages = {23--40}
}

@article{CGPS2000,
  author = {Conrey, Brian and Granville, Andrew and Poonen, Bjorn and Soundararajan, K.},
  title = {Zeros of {Fekete} polynomials},
  journal = {Annales de l'Institut Fourier},
  volume = {50},
  number = {3},
  year = {2000},
  pages = {865--889},
  url = {https://www.numdam.org/item/AIF_2000__50_3_865_0/}
}

@misc{KLM2024,
  author = {Klurman, Oleksiy and Lamzouri, Youness and Munsch, Marc},
  title = {Sign changes of short character sums and real zeros of {Fekete} polynomials},
  year = {2024},
  eprint = {2403.02195},
  archivePrefix = {arXiv},
  primaryClass = {math.NT},
  note = {arXiv:2403.02195v2, 5 September 2024},
  url = {https://arxiv.org/abs/2403.02195v2}
}

@misc{LamzouriNath2025,
  author = {Lamzouri, Youness and Nath, Kunjakanan},
  title = {Real zeros of {$L'(s,\chi_d)$}},
  year = {2026},
  eprint = {2511.02774},
  archivePrefix = {arXiv},
  primaryClass = {math.NT},
  note = {arXiv:2511.02774v2, 27 January 2026},
  url = {https://arxiv.org/abs/2511.02774v2}
}

@misc{JohnstonYang2022,
  author = {Johnston, Daniel R. and Yang, Andrew},
  title = {Some explicit estimates for the error term in the prime number theorem},
  year = {2022},
  eprint = {2204.01980},
  archivePrefix = {arXiv},
  primaryClass = {math.NT},
  note = {arXiv:2204.01980v2, 20 April 2022},
  url = {https://arxiv.org/abs/2204.01980v2}
}

@misc{LedouxBonn,
  author = {Ledoux, Michel},
  title = {Measure concentration, transportation cost, and functional inequalities},
  year = {2003},
  note = {Lecture notes, Edinburgh 2002 and Bonn 2003},
  url = {https://www.math.univ-toulouse.fr/~ledoux/Bonn.pdf}
}

@article{CS2002,
  author = {Conrey, J. B. and Soundararajan, K.},
  title = {Real zeros of quadratic {Dirichlet} {$L$}-functions},
  journal = {Inventiones Mathematicae},
  volume = {150},
  year = {2002},
  pages = {1--44},
  doi = {10.1007/s00222-002-0227-x}
}

@misc{GaoReal2020,
  author = {Gao, Peng},
  title = {Real zeros of quadratic {Hecke} {$L$}-functions},
  year = {2020},
  eprint = {2012.04836},
  archivePrefix = {arXiv},
  primaryClass = {math.NT},
  note = {arXiv:2012.04836v1, 9 December 2020},
  url = {https://arxiv.org/abs/2012.04836v1}
}

@misc{GaoFourth2020,
  author = {Gao, Peng},
  title = {The fourth moment of central values of quadratic {Hecke} {$L$}-functions in the {Gaussian} field},
  year = {2020},
  eprint = {2004.12528},
  archivePrefix = {arXiv},
  primaryClass = {math.NT},
  note = {arXiv:2004.12528v1, 27 April 2020},
  url = {https://arxiv.org/abs/2004.12528v1}
}

@misc{HoughLog2014,
  author = {Hough, Bob},
  title = {The distribution of the logarithm in an orthogonal and a symplectic family of {$L$}-functions},
  year = {2014},
  eprint = {1109.1783},
  archivePrefix = {arXiv},
  primaryClass = {math.NT},
  note = {arXiv:1109.1783v2, 24 November 2014},
  url = {https://arxiv.org/abs/1109.1783v2}
}

@article{HoughDensity2012,
  author = {Hough, Bob},
  title = {Zero-density estimate for modular form {$L$}-functions in weight aspect},
  journal = {Acta Arithmetica},
  volume = {154},
  number = {2},
  year = {2012},
  pages = {187--216},
  doi = {10.4064/aa154-2-6},
  note = {Version consulted: arXiv:1109.1771v2, 28 November 2014},
  url = {https://arxiv.org/abs/1109.1771v2}
}

@misc{ShenStucky2024,
  author = {Shen, Quanli and Stucky, Joshua},
  title = {The fourth moment of quadratic {Dirichlet} {$L$}-functions {II}},
  year = {2024},
  eprint = {2402.01497},
  archivePrefix = {arXiv},
  primaryClass = {math.NT},
  note = {arXiv:2402.01497v1, 2 February 2024},
  url = {https://arxiv.org/abs/2402.01497v1}
}

@article{Deligne1974,
  author = {Deligne, Pierre},
  title = {La conjecture de {Weil}. {I}},
  journal = {Publications Math{\'e}matiques de l'IH{\'E}S},
  volume = {43},
  year = {1974},
  pages = {273--307},
  doi = {10.1007/BF02684373}
}

@article{AtkinLehner1970,
  author = {Atkin, A. O. L. and Lehner, J.},
  title = {Hecke operators on {$\Gamma_0(m)$}},
  journal = {Mathematische Annalen},
  volume = {185},
  year = {1970},
  pages = {134--160},
  doi = {10.1007/BF01359701}
}

@article{AtkinLi1978,
  author = {Atkin, A. O. L. and Li, Wen-Ch'ing Winnie},
  title = {Twists of newforms and pseudo-eigenvalues of {$W$}-operators},
  journal = {Inventiones Mathematicae},
  volume = {48},
  year = {1978},
  pages = {221--243},
  doi = {10.1007/BF01390245}
}

@article{LiuYe2007,
  author = {Liu, Jianya and Ye, Yangbo},
  title = {Perron's formula and the prime number theorem for automorphic {$L$}-functions},
  journal = {Pure and Applied Mathematics Quarterly},
  volume = {3},
  number = {2},
  year = {2007},
  pages = {481--497}
}

@misc{Petrow2013,
  author = {Petrow, Ian},
  title = {Moments of {$L'(1/2)$} in the family of quadratic twists},
  year = {2012},
  eprint = {1208.4069},
  archivePrefix = {arXiv},
  primaryClass = {math.NT},
  note = {arXiv:1208.4069v2, 12 November 2012},
  url = {https://arxiv.org/abs/1208.4069v2}
}

@misc{BTT2023,
  author = {Bhargava, Manjul and Taniguchi, Takashi and Thorne, Frank},
  title = {Improved error estimates for the {Davenport--Heilbronn} theorems},
  year = {2023},
  eprint = {2107.12819},
  archivePrefix = {arXiv},
  primaryClass = {math.NT},
  note = {arXiv:2107.12819v2, 19 July 2023},
  url = {https://arxiv.org/abs/2107.12819v2}
}

@article{SST2026,
  author = {Shankar, Arul and S{\"o}dergren, Anders and Templier, Nicolas},
  title = {Central values of zeta functions of non-{Galois} cubic fields},
  journal = {Inventiones Mathematicae},
  volume = {243},
  number = {1},
  year = {2026},
  pages = {33--116},
  doi = {10.1007/s00222-025-01373-6}
}

@misc{BaierYoung2010,
  author = {Baier, Stephan and Young, Matthew P.},
  title = {Mean values with cubic characters},
  year = {2010},
  eprint = {0804.2233},
  archivePrefix = {arXiv},
  primaryClass = {math.NT},
  note = {arXiv:0804.2233v4, 3 November 2010},
  url = {https://arxiv.org/abs/0804.2233v4}
}

@misc{DDLL2024,
  author = {Darbar, Pranendu and David, Chantal and Lalin, Matilde and Lumley, Allysa},
  title = {Asymmetric distribution of extreme values of cubic {$L$}-functions at {$s=1$}},
  year = {2024},
  eprint = {2306.13626},
  archivePrefix = {arXiv},
  primaryClass = {math.NT},
  note = {arXiv:2306.13626v2, 9 August 2024},
  url = {https://arxiv.org/abs/2306.13626v2}
}

@misc{NelsonStandard,
  author = {Nelson, Paul D.},
  title = {Bounds for standard {$L$}-functions},
  howpublished = {Author's manuscript},
  note = {256-page version, accessed 14 October 2026},
  url = {https://ultronozm.github.io/math/standard.pdf}
}

@book{Koukoulopoulos2019,
  author = {Koukoulopoulos, Dimitris},
  title = {The Distribution of Prime Numbers},
  series = {Graduate Studies in Mathematics},
  volume = {203},
  publisher = {American Mathematical Society},
  year = {2019},
  note = {Chapter 11 consulted in the author's preliminary version}
}
@book{AzaisWschebor2009,
  author = {Aza{\"i}s, Jean-Marc and Wschebor, Mario},
  title = {Level Sets and Extrema of Random Processes and Fields},
  publisher = {John Wiley \& Sons},
  year = {2009},
  doi = {10.1002/9780470434642},
  note = {Theorem numbering checked in the authors' manuscript},
  url = {https://www.math.univ-toulouse.fr/~azais/styles/other/student/level.pdf}
}

@article{ChoKim2018,
  author = {Cho, Peter J. and Kim, Henry H.},
  title = {Moments of logarithmic derivatives of {$L$}-functions},
  journal = {Journal of Number Theory},
  volume = {183},
  year = {2018},
  pages = {40--61},
  doi = {10.1016/j.jnt.2017.08.017},
  url = {https://www.math.toronto.edu/henrykim/cho-kim-jnt-reprint.pdf}
}

@article{ChoOh2025,
  author = {Cho, Peter Jaehyun and Oh, Gyeongwon},
  title = {Counting cyclic extensions with local conditions and applications to {$L$}-values in the critical strip},
  journal = {Canadian Journal of Mathematics},
  year = {2025},
  pages = {1--39},
  note = {First View, published online 8 August 2025},
  doi = {10.4153/S0008414X25101247},
  url = {https://doi.org/10.4153/S0008414X25101247}
}