@manual{sagemath,
  Key          = {SageMath},
  Author       = {{The Sage Developers}},
  Title        = {{S}ageMath, the {S}age {M}athematics {S}oftware {S}ystem ({V}ersion 9.2)},
  note         = {\url{https://www.sagemath.org}},
  Year         = {2020},
}

@article{athanasiadis1996characteristic-aim,
	author = {Athanasiadis, C. A. },
	title = {Characteristic {Polynomials} of {Subspace} {Arrangements} and {Finite} {Fields}},
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}

@article{athanasiadis1999extended-joac,
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}

@book{auslander1974groups,
	author = {Auslander, M.  and Buchsbaum, D. A. },
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}

@article{feaver2017imaginary-jont,
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@article{higashitani2022period-imrn,
	author = {Higashitani, A.  and Tran, T. N.  and Yoshinaga, M. },
	title = {Period {Collapse} in {Characteristic} {Quasi}-{Polynomials} of {Hyperplane} {Arrangements}},
	issn = {1073-7928, 1687-0247},
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}

@misc{kamiya2007characteristic-a,
	author = {Kamiya, H.  and Takemura, A.  and Terao, H. },
	title = {The characteristic quasi-polynomials of the arrangements of root systems},
	year = {2007},
	eprint = {0707.1381},
}

@article{kamiya2008periodicity-joac,
	author = {Kamiya, H.  and Takemura, A.  and Terao, H. },
	title = {Periodicity of hyperplane arrangements with integral coefficients modulo positive integers},
	volume = {27},
	issn = {0925-9899, 1572-9192},
	doi = {10.1007/s10801-007-0091-2},
	number = {3},
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	month = may,
	year = {2008},
	pages = {317--330}
}

@article{kamiya2011periodicity-aoc,
	author = {Kamiya, H.  and Takemura, A.  and Terao, H. },
	title = {Periodicity of {Non}-{Central} {Integral} {Arrangements} {Modulo} {Positive} {Integers}},
	volume = {15},
	issn = {0219-3094},
	doi = {10.1007/s00026-011-0105-6},
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	pages = {449}
}

@inproceedings{kamiya2010characteristic-alsas,
	author = {Kamiya, H.  and Takemura, A.  and Terao, H. },
	editor = {El Zein, F.  and Suciu, A. I.  and Tosun, M.  and Uluda{\u g}, A. M.  and Yuzvinsky, S. },
	address = {Basel},
	series = {Progress in {Mathematics}},
	title = {The {Characteristic} {Quasi}-{Polynomials} of the {Arrangements} of {Root} {Systems} and {Mid}-{Hyperplane} {Arrangements}},
	isbn = {978-3-0346-0209-9},
	doi = {10.1007/978-3-0346-0209-9_7},
	booktitle = {Arrangements, {Local} {Systems} and {Singularities}},
	publisher = {Birkh{\"a}user},
	year = {2010},
	keywords = {32S22, hyperplane arrangement, 05B35, 17B20, Characteristic quasi-polynomial, elementary divisor, mid-hyperplane arrangement, root system},
	pages = {177--190}
}

@article{kuroda2023characteristic-ecaa,
	author = {Kuroda, M.  and Tsujie, S. },
	title = {The characteristic quasi-polynomials of hyperplane arrangements over residually finite {Dedekind} domains},
	volume = {4},
	issn = {27102335},
	doi = {10.54550/ECA2024V4S1R1},
	number = {1},
	journal = {Enumerative Combinatorics and Applications},
	month = jun,
	year = {2023},
	pages = {Article \#S2R1}
}

@book{lehrer2009unitary,
	author = {Lehrer, G.  and Taylor, D. E. },
	address = {Cambridge, UK ; New York},
	series = {Australian {Mathematical} {Society} lecture series},
	title = {Unitary reflection groups},
	isbn = {978-0-521-74989-3},
	number = {20},
	publisher = {Cambridge University Press},
	year = {2009},
	note = {OCLC: ocn286434716},
	keywords = {Group theory, Reflections}
}

@article{lenstra1975euclids-jotlms,
	author = {Lenstra, H. W. },
	title = {Euclid's {Algorithm} in {Cyclotomic} {Fields}},
	volume = {s2-10},
	issn = {00246107},
	doi = {10.1112/jlms/s2-10.4.457},
	number = {4},
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	month = aug,
	year = {1975},
	pages = {457--465}
}

@article{liu2021$g$-tutte-imrn,
	author = {Liu, Y.  and Tran, T. N.  and Yoshinaga, M. },
	title = {{${G}$}-{Tutte} {Polynomials} and {Abelian} {Lie} {Group} {Arrangements}},
	volume = {2021},
	issn = {1073-7928},
	doi = {10.1093/imrn/rnz092},
	number = {1},
	journal = {International Mathematics Research Notices},
	month = jan,
	year = {2021},
	pages = {150--188}
}

@article{moci2012tutte-totams,
	author = {Moci, L. },
	title = {A {Tutte} polynomial for toric arrangements},
	volume = {364},
	issn = {0002-9947, 1088-6850},
	doi = {10.1090/S0002-9947-2011-05491-7},
	number = {2},
	journal = {Transactions of the American Mathematical Society},
	month = feb,
	year = {2012},
	pages = {1067--1088}
}

@article{orlik1980combinatorics-im,
	author = {Orlik, P.  and Solomon, L. },
	title = {Combinatorics and topology of complements of hyperplanes},
	volume = {56},
	issn = {0020-9910, 1432-1297},
	doi = {10.1007/BF01392549},
	number = {2},
	journal = {Inventiones mathematicae},
	month = feb,
	year = {1980},
	pages = {167--189}
}

@article{shephard1954finite-cjom,
	author = {Shephard, G. C.  and Todd, J. A. },
	title = {Finite {Unitary} {Reflection} {Groups}},
	volume = {6},
	issn = {0008-414X, 1496-4279},
	doi = {10.4153/CJM-1954-028-3},
	journal = {Canadian Journal of Mathematics},
	year = {1954},
	pages = {274--304}
}

@inproceedings{stanley2004introduction-lnicmi,
	author = {Stanley, R. P. },
	title = {An {Introduction} to {Hyperplane} {Arrangements}},
	booktitle = {Lecture notes, {IAS}/{Park} {City} {Mathematics} {Institute}},
	year = {2004}
}

@article{suter1998number-moc,
	author = {Suter, R. },
	title = {The number of lattice points in alcoves and the exponents of the finite {Weyl} groups},
	volume = {67},
	issn = {0025-5718, 1088-6842},
	doi = {10.1090/S0025-5718-98-00919-3},
	number = {222},
	journal = {Mathematics of Computation},
	year = {1998},
	pages = {751--758}
}

@article{srinivas2023euclidean-rdcmdps,
	author = {Srinivas, K.  and Subramani, M.  and Sangale, U. K. },
	title = {Euclidean algorithm in {Galois} quartic fields},
	volume = {72},
	issn = {1973-4409},
	doi = {10.1007/s12215-021-00662-2},
	number = {1},
	journal = {Rendiconti del Circolo Matematico di Palermo Series 2},
	month = feb,
	year = {2023},
	keywords = {Class number, Cyclic quartic fields, Euclidean rings, Imaginary biquadratic fields, Number fields, Primary 11A05, Secondary 11R04},
	pages = {1--7}
}

@article{tran2019characteristic-ejoc,
	author = {Tran, T. N. },
	title = {Characteristic quasi-polynomials of ideals and signed graphs of classical root systems},
	volume = {79},
	issn = {0195-6698},
	doi = {10.1016/j.ejc.2019.03.001},
	journal = {European Journal of Combinatorics},
	month = jun,
	year = {2019},
	pages = {179--192}
}

@article{tran2019combinatorics-joctsa,
	author = {Tran, T. N.  and Yoshinaga, M. },
	title = {Combinatorics of certain abelian {Lie} group arrangements and chromatic quasi-polynomials},
	volume = {165},
	issn = {00973165},
	doi = {10.1016/j.jcta.2019.02.003},
	journal = {Journal of Combinatorial Theory, Series A},
	month = jul,
	year = {2019},
	pages = {258--272}
}

@article{yoshinaga2018worpitzky-tmj,
	author = {Yoshinaga, M. },
	title = {Worpitzky partitions for root systems and characteristic quasi-polynomials},
	volume = {70},
	issn = {0040-8735},
	doi = {10.2748/tmj/1520564418},
	number = {1},
	journal = {Tohoku Mathematical Journal},
	month = mar,
	year = {2018}
}

@article{yoshinaga2018characteristic-joctsa,
	author = {Yoshinaga, M. },
	title = {Characteristic polynomials of {Linial} arrangements for exceptional root systems},
	volume = {157},
	issn = {0097-3165},
	doi = {10.1016/j.jcta.2018.02.011},
	journal = {Journal of Combinatorial Theory, Series A},
	month = jul,
	year = {2018},
	keywords = {Hyperplane arrangements, Characteristic polynomials, Linial arrangements},
	pages = {267--286}
}

@book{zaslavsky1975facing,
	author = {Zaslavsky, T. },
	address = {Providence},
	series = {Memoirs of the {American} {Mathematical} {Society} ; no. 154},
	title = {Facing up to arrangements: face-count formulas for partitions of space by hyperplanes},
	isbn = {978-0-8218-1854-1},
	shorttitle = {Facing up to arrangements},
	publisher = {American Mathematical Society},
	year = {1975},
	keywords = {Combinatorial enumeration problems, Combinatorial geometry, Lattice theory}
}