The references for Sage, sorted alphabetically by citation key.

REFERENCES:

A

 [ABBR2012] A. Abad, R. Barrio, F. Blesa, M. Rodriguez. Algorithm 924. ACM Transactions on Mathematical Software, 39 no. 1 (2012), 1-28.
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 [AHK2015] Karim Adiprasito, June Huh, and Eric Katz. Hodge theory for combinatorial geometries. Arxiv 1511.02888.
 [AHU1974] A. Aho, J. Hopcroft, and J. Ullman. ‘Chapter 6: Matrix Multiplication and Related Operations.’ The Design and Analysis of Computer Algorithms. Addison-Wesley, 1974.
 [Aj1996] M. Ajtai. Generating hard instances of lattice problems (extended abstract). STOC, pp. 99–108, ACM, 1996.
 [Al1947] A. A. Albert, A Structure Theory for Jordan Algebras. Annals of Mathematics, Second Series, Vol. 48, No. 3 (Jul., 1947), pp. 546–567.
 [AL1978] A. O. L. Atkin and Wen-Ch’ing Winnie Li, Twists of newforms and pseudo-eigenvalues of $$W$$-operators. Inventiones math. 48 (1978), 221-243.
 [AL2015] M. Aguiar and A. Lauve, The characteristic polynomial of the Adams operators on graded connected Hopf algebras. Algebra Number Theory, v.9, 2015, n.3, 2015.
 [AM1974] J. F. Adams and H. R. Margolis, “Sub-Hopf-algebras of the Steenrod algebra,” Proc. Cambridge Philos. Soc. 76 (1974), 45-52.
 [Ap1997] T. Apostol, Modular functions and Dirichlet series in number theory, Springer, 1997 (2nd ed), section 3.7–3.9.
 [APR2001] George E. Andrews, Peter Paule, Axel Riese, MacMahon’s partition analysis: the Omega package, European J. Combin. 22 (2001), no. 7, 887–904.
 [Ar2006] D. Armstrong. Generalized noncrossing partitions and combinatorics of Coxeter groups. Mem. Amer. Math. Soc., 2006.
 [AR2012] D. Armstrong and B. Rhoades. “The Shi arrangement and the Ish arrangement”. Transactions of the American Mathematical Society 364 (2012), 1509-1528. Arxiv 1009.1655
 [AS-Bessel] F. W. J. Olver: 9. Bessel Functions of Integer Order, in Abramowitz and Stegun: Handbook of Mathematical Functions. http://people.math.sfu.ca/~cbm/aands/page_355.htm
 [AS-Spherical] H. A. Antosiewicz: 10. Bessel Functions of Fractional Order, in Abramowitz and Stegun: Handbook of Mathematical Functions. http://people.math.sfu.ca/~cbm/aands/page_435.htm
 [AS-Struve] M. Abramowitz: 12. Struve Functions and Related Functions, in Abramowitz and Stegun: Handbook of Mathematical Functions. http://people.math.sfu.ca/~cbm/aands/page_495.htm
 [AS1964] M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, National Bureau of Standards Applied Mathematics Series, 55. 1964. See also http://www.math.sfu.ca/~cbm/aands/.
 [As2008] Sami Assaf. A combinatorial realization of Schur-Weyl duality via crystal graphs and dual equivalence graphs. FPSAC 2008, 141-152, Discrete Math. Theor. Comput. Sci. Proc., AJ, Assoc. Discrete Math. Theor. Comput. Sci., (2008). Arxiv 0804.1587v1
 [AS2011] R.B.J.T Allenby and A. Slomson, “How to count”, CRC Press (2011)
 [ASD1971] A. O. L. Atkin and H. P. F. Swinnerton-Dyer, “Modular forms on noncongruence subgroups”, Proc. Symp. Pure Math., Combinatorics (T. S. Motzkin, ed.), vol. 19, AMS, Providence 1971
 [Av2000] D. Avis, A revised implementation of the reverse search vertex enumeration algorithm. Polytopes-combinatorics and computation. Birkhauser Basel, 2000.

B

 [Ba1994] Kaushik Basu. The Traveler’s Dilemma: Paradoxes of Rationality in Game Theory. The American Economic Review (1994): 391-395.
 [Bar1970] Barnette, “Diagrams and Schlegel diagrams”, in Combinatorial Structures and Their Applications, Proc. Calgary Internat. Conference 1969, New York, 1970, Gordon and Breach.
 [Bar2006] G. Bard. ‘Accelerating Cryptanalysis with the Method of Four Russians’. Cryptography E-Print Archive (http://eprint.iacr.org/2006/251.pdf), 2006.
 [BB1997] Mladen Bestvina and Noel Brady. Morse theory and finiteness properties of groups. Invent. Math. 129 (1997). No. 3, 445-470. www.math.ou.edu/~nbrady/papers/morse.ps.
 [BB2009] Tomas J. Boothby and Robert W. Bradshaw. Bitslicing and the Method of Four Russians Over Larger Finite Fields. arXiv:0901.1413v1, 2009. Arxiv 0901.1413
 [BBLSW1999] Babson, Bjorner, Linusson, Shareshian, and Welker, “Complexes of not i-connected graphs,” Topology 38 (1999), 271-299
 [BBS1982] L. Blum, M. Blum, and M. Shub. Comparison of Two Pseudo-Random Number Generators. Advances in Cryptology: Proceedings of Crypto ‘82, pp.61–78, 1982.
 [BBS1986] L. Blum, M. Blum, and M. Shub. A Simple Unpredictable Pseudo-Random Number Generator. SIAM Journal on Computing, 15(2):364–383, 1986.
 [BC1977] R. E. Bixby, W. H. Cunningham, Matroids, Graphs, and 3-Connectivity. In Graph theory and related topics (Proc. Conf., Univ. Waterloo, Waterloo, ON, 1977), 91-103
 [BC2003] A. Biryukov and C. D. Canniere Block Ciphers and Systems of Quadratic Equations; in Proceedings of Fast Software Encryption 2003; LNCS 2887; pp. 274-289, Springer-Verlag 2003.
 [BC2012] Mohamed Barakat and Michael Cuntz. “Coxeter and crystallographic arrangements are inductively free.” Adv. in Math. 229 Issue 1 (2012). pp. 691-709. doi:10.1016/j.aim.2011.09.011, Arxiv 1011.4228.
 [BCCCNSY2010] Charles Bouillaguet, Hsieh-Chung Chen, Chen-Mou Cheng, Tung Chou, Ruben Niederhagen, Adi Shamir, and Bo-Yin Yang. Fast exhaustive search for polynomial systems in GF(2). In Stefan Mangard and François-Xavier Standaert, editors, CHES, volume 6225 of Lecture Notes in Computer Science, pages 203–218. Springer, 2010. pre-print available at http://eprint.iacr.org/2010/313.pdf
 [BDP2013] Thomas Brüstle, Grégoire Dupont, Matthieu Pérotin On Maximal Green Sequences Arxiv 1205.2050
 [Bee] Robert A. Beezer, A First Course in Linear Algebra, http://linear.ups.edu/. Accessed 15 July 2010.
 [Ber2008] W. Bertram : Differential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings, Memoirs of the American Mathematical Society, vol. 192 (2008); doi:10.1090/memo/0900; Arxiv math/0502168
 [Ber1991] C. Berger, “Une version effective du théorème de Hurewicz”, https://tel.archives-ouvertes.fr/tel-00339314/en/.
 [BFZ2005] A. Berenstein, S. Fomin, and A. Zelevinsky, Cluster algebras. III. Upper bounds and double Bruhat cells, Duke Math. J. 126 (2005), no. 1, 1–52.
 [BG1985] M. Blum and S. Goldwasser. An Efficient Probabilistic Public-Key Encryption Scheme Which Hides All Partial Information. In Proceedings of CRYPTO 84 on Advances in Cryptology, pp. 289–299, Springer, 1985.
 [BG1988] M. Berger & B. Gostiaux : Differential Geometry: Manifolds, Curves and Surfaces, Springer (New York) (1988); doi:10.1007/978-1-4612-1033-7
 [BH1994] S. Billey, M. Haiman. Schubert polynomials for the classical groups. J. Amer. Math. Soc., 1994.
 [BHS2008] Robert Bradshaw, David Harvey and William Stein. strassen_window_multiply_c. strassen.pyx, Sage 3.0, 2008. http://www.sagemath.org
 [Big1999] Stephen J. Bigelow. The Burau representation is not faithful for $$n = 5$$. Geom. Topol., 3:397–404, 1999.
 [Big2003] Stephen J. Bigelow, The Lawrence-Krammer representation, Geometric Topology, 2001 Georgia International Topology Conference, AMS/IP Studies in Advanced Mathematics 35 (2003). Arxiv math/0204057v1
 [Bir1975] J. Birman. Braids, Links, and Mapping Class Groups, Princeton University Press, 1975
 [BK1992] U. Brehm and W. Kuhnel, “15-vertex triangulations of an 8-manifold”, Math. Annalen 294 (1992), no. 1, 167-193.
 [BK2001] W. Bruns and R. Koch, Computing the integral closure of an affine semigroup. Uni. Iaggelonicae Acta Math. 39, (2001), 59-70
 [BL2000] Anders Björner and Frank H. Lutz, “Simplicial manifolds, bistellar flips and a 16-vertex triangulation of the Poincaré homology 3-sphere”, Experiment. Math. 9 (2000), no. 2, 275-289.
 [BL2008] Corentin Boissy and Erwan Lanneau, “Dynamics and geometry of the Rauzy-Veech induction for quadratic differentials” (arxiv:0710.5614) to appear in Ergodic Theory and Dynamical Systems.
 [BM2008] John Adrian Bondy and U.S.R. Murty, “Graph theory”, Volume 244 of Graduate Texts in Mathematics, 2nd edition, Springer, 2008.
 [BM2003] Bazzi and Mitter, {it Some constructions of codes from group actions}, (preprint March 2003, available on Mitter’s MIT website).
 [BN2008] Victor V. Batyrev and Benjamin Nill. Combinatorial aspects of mirror symmetry. In Integer points in polyhedra — geometry, number theory, representation theory, algebra, optimization, statistics, volume 452 of Contemp. Math., pages 35–66. Amer. Math. Soc., Providence, RI, 2008. arXiv:math/0703456v2 [math.CO].
 [Bob2013] J.W. Bober. Conditionally bounding analytic ranks of elliptic curves. ANTS 10, 2013. http://msp.org/obs/2013/1-1/obs-v1-n1-p07-s.pdf
 [BP1982] H. Beker and F. Piper. Cipher Systems: The Protection of Communications. John Wiley and Sons, 1982.
 [BP2000] V. M. Bukhshtaber and T. E. Panov, “Moment-angle complexes and combinatorics of simplicial manifolds,” Uspekhi Mat. Nauk 55 (2000), 171–172.
 [BP2015] P. Butera and M. Pernici “Sums of permanental minors using Grassmann algebra”, International Journal of Graph Theory and its Applications, 1 (2015), 83–96. Arxiv 1406.5337
 [BPRS2009] J. Bastian, T. Prellberg, M. Rubey, C. Stump, Counting the number of elements in the mutation classes of tilde{A}_n-quivers, Arxiv 0906.0487
 [Br1910] Bruckner, “Uber die Ableitung der allgemeinen Polytope und die nach Isomorphismus verschiedenen Typen der allgemeinen Achtzelle (Oktatope)”, Verhand. Konik. Akad. Wetenschap, Erste Sectie, 10 (1910)
 [Br2000] Kenneth S. Brown, Semigroups, rings, and Markov chains, Arxiv math/0006145v1.
 [BS1996] Eric Bach, Jeffrey Shallit. Algorithmic Number Theory, Vol. 1: Efficient Algorithms. MIT Press, 1996. ISBN 978-0262024051.
 [BS2003] I. Bouyukliev and J. Simonis, Some new results on optimal codes over $$F_5$$, Designs, Codes and Cryptography 30, no. 1 (2003): 97-111, http://www.moi.math.bas.bg/moiuser/~iliya/pdf_site/gf5srev.pdf.
 [BS2011] E. Byrne and A. Sneyd, On the Parameters of Codes with Two Homogeneous Weights. WCC 2011-Workshop on coding and cryptography, pp. 81-90. 2011. https://hal.inria.fr/inria-00607341/document
 [BSS2009] David Bremner, Mathieu Dutour Sikiric, Achill Schuermann: Polyhedral representation conversion up to symmetries, Proceedings of the 2006 CRM workshop on polyhedral computation, AMS/CRM Lecture Notes, 48 (2009), 45-71. http://arxiv.org/abs/math/0702239
 [BSV2010] M. Bolt, S. Snoeyink, E. Van Andel. “Visual representation of the Riemann map and Ahlfors map via the Kerzman-Stein equation”. Involve 3-4 (2010), 405-420.
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C

 [CB2007] Nicolas Courtois, Gregory V. Bard: Algebraic Cryptanalysis of the Data Encryption Standard, In 11-th IMA Conference, Cirencester, UK, 18-20 December 2007, Springer LNCS 4887. See also http://eprint.iacr.org/2006/402/.
 [CDL2015] A. Canteaut, Sebastien Duval, Gaetan Leurent Construction of Lightweight S-Boxes using Feistel and MISTY Structures; in Proceedings of SAC 2015; LNCS 9566; pp. 373-393; Springer-Verlag 2015; available at http://eprint.iacr.org/2015/711.pdf
 [CE2001] Raul Cordovil and Gwihen Etienne. A note on the Orlik-Solomon algebra. Europ. J. Combinatorics. 22 (2001). pp. 165-170. http://www.math.ist.utl.pt/~rcordov/Ce.pdf
 [Cer1994] D. P. Cervone, “Vertex-minimal simplicial immersions of the Klein bottle in three-space”, Geom. Ded. 50 (1994) 117-141, http://www.math.union.edu/~dpvc/papers/1993-03.kb/vmkb.pdf.
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 [Ch2012] Cho-Ho Chu. Jordan Structures in Geometry and Analysis. Cambridge University Press, New York. 2012. IBSN 978-1-107-01617-0.
 [Cha92] Chameni-Nembua C. and Monjardet B. Les Treillis Pseudocomplémentés Finis Europ. J. Combinatorics (1992) 13, 89-107.
 [Cha2006] Ruth Charney. An introduction to right-angled Artin groups. http://people.brandeis.edu/~charney/papers/RAAGfinal.pdf, Arxiv math/0610668.
 [ChenDB] Eric Chen, Online database of two-weight codes, http://moodle.tec.hkr.se/~chen/research/2-weight-codes/search.php
 [CK1999] David A. Cox and Sheldon Katz. Mirror symmetry and algebraic geometry, volume 68 of Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI, 1999.
 [CK2001] M. Casella and W. Kühnel, “A triangulated K3 surface with the minimum number of vertices”, Topology 40 (2001), 753–772.
 [CK2015] J. Campbell and V. Knight. On testing degeneracy of bi-matrix games. http://vknight.org/unpeudemath/code/2015/06/25/on_testing_degeneracy_of_games/ (2015)
 [CL2013] Maria Chlouveraki and Sofia Lambropoulou. The Yokonuma-Hecke algebras and the HOMFLYPT polynomial. (2015) Arxiv 1204.1871v4.
 [CLRS2001] Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest and Clifford Stein, Section 22.4: Topological sort, Introduction to Algorithms (2nd ed.), MIT Press and McGraw-Hill, 2001, 549-552, ISBN 0-262-03293-7.
 [CLS2011] David A. Cox, John Little, and Hal Schenck. Toric Varieties. Volume 124 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI, 2011.
 [CMO2011] C. Chun, D. Mayhew, J. Oxley, A chain theorem for internally 4-connected binary matroids. J. Combin. Theory Ser. B 101 (2011), 141-189.
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D

 [Dat2007] Basudeb Datta, “Minimal triangulations of manifolds”, J. Indian Inst. Sci. 87 (2007), no. 4, 429-449.
 [Dav1997] B.A. Davey, H.A. Priestley, Introduction to Lattices and Order, Cambridge University Press, 1997.
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E

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F

 [Fe1997] Stefan Felsner, “On the Number of Arrangements of Pseudolines”, Proceedings SoCG 96, 30-37. Discrete & Computational Geometry 18 (1997), 257-267. http://page.math.tu-berlin.de/~felsner/Paper/numarr.pdf
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G

 [Ga02] Shuhong Gao, A new algorithm for decoding Reed-Solomon Codes, January 31, 2002
 [Gambit] Richard D. McKelvey, Andrew M. McLennan, and Theodore L. Turocy, Gambit: Software Tools for Game Theory, Version 13.1.2.. http://www.gambit-project.org (2014).
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