The references for Sage, sorted alphabetically by citation key.

REFERENCES:

A

 [Ab1995] Julian R. Abel, On the Existence of Balanced Incomplete Block Designs and Transversal Designs, PhD Thesis, University of New South Wales, 1995
 [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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 [ABBS2013] J.-C Aval, A. Boussicault, M. Bouvel, M. Silimbani, Combinatorics of non-ambiguous trees, Arxiv 1305.3716
 [AGHJLPR2017] Benjamin Assarf, Ewgenij Gawrilow, Katrin Herr, Michael Joswig, Benjamin Lorenz, Andreas Paffenholz, and Thomas Rehn, Computing convex hulls and counting integer points with polymake, Math. Program. Comput. 9 (2017), no. 1, 1–38, https://doi.org/10.1007/s12532-016-0104-z
 [AguSot05] Marcelo Aguiar and Frank Sottile, Structure of the Malvenuto-Reutenauer Hopf algebra of permutations, Advances in Mathematics, Volume 191, Issue 2, 1 March 2005, pp. 225–275, Arxiv math/0203282v2.
 [AH2002] R. J. Aumann and S. Hart, Elsevier, eds. Computing equilibria for two-person games. http://www.maths.lse.ac.uk/personal/stengel/TEXTE/nashsurvey.pdf (2002)
 [AHK2015] Karim Adiprasito, June Huh, and Eric Katz. Hodge theory for combinatorial geometries. Arxiv 1511.02888.
 [AHMP2008] J.-P. Aumasson, L. Henzen, W. Meier, and R. C-W Phan, Sha-3 proposal blake; in Submission to NIST, (2008).
 [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.
 [AIKMMNT2001] K. Aoki, T. Ichikawa, M. Kanda, M. Matsui, S. Moriai, J. Nakajima, and T. Tokita, Camellia: A 128-bit block cipher suitable for multiple platforms - Design and analysis; in SAC, (2000), pp. 39-56.
 [Aj1996] M. Ajtai. Generating hard instances of lattice problems (extended abstract). STOC, pp. 99–108, ACM, 1996.
 [AK1994] S. Ariki and K. Koike. A Hecke algebra of $$(\mathbb{Z}/r\mathbb{Z})\wr\mathfrak{S}_n$$ and construction of its irreducible representations. Adv. Math. 106 (1994), 216–243. mathscinet:$$MR1279219$$
 [AJL2011] S. Ariki, N. Jacon, and C. Lecouvey. The modular branching rule for affine Hecke algebras of type A. Adv. Math. 228:481-526, 2011.
 [Aki1980] J. Akiyama. and G. Exoo and F. Harary. Covering and packing in graphs. III: Cyclic and acyclic invariants. Mathematical Institute of the Slovak Academy of Sciences. Mathematica Slovaca vol 30, n 4, pages 405–417, 1980
 [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.
 [AM2000] S. Ariki and A. Mathas. The number of simple modules of the Hecke algebras of type G(r,1,n). Math. Z. 233 (2000), no. 3, 601–623. MathSciNet MR1750939
 [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
 [Ariki1996] S. Ariki. On the decomposition numbers of the Hecke algebra of $$G(m,1,n)$$. J. Math. Kyoto Univ. 36 (1996), no. 4, 789–808. MathSciNet MR1443748
 [Ariki2001] S. Ariki. On the classification of simple modules for cyclotomic Hecke algebras of type $$G(m,1,n)$$ and Kleshchev multipartitions. Osaka J. Math. 38 (2001), 827–837. MathSciNet MR1864465
 [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
 [At1992] M. D. Atkinson. Solomon’s descent algebra revisited. Bull. London Math. Soc. 24 (1992) 545-551. http://www.cs.otago.ac.nz/staffpriv/mike/Papers/Descent/DescAlgRevisited.pdf
 [Av2000] D. Avis, A revised implementation of the reverse search vertex enumeration algorithm. Polytopes-combinatorics and computation. Birkhauser Basel, 2000.
 [Ava2007] J.-C. Aval. Keys and alternating sign matrices. Sem. Lothar. Combin. 59 (2007/10), Art. B59f, 13 pp.
 [Ava2017] R. Avanzi, The QARMA block cipher family; in ToSC, (2017.1), pp. 4-44.

B

 [Ba1994] Kaushik Basu. The Traveler’s Dilemma: Paradoxes of Rationality in Game Theory. The American Economic Review (1994): 391-395.
 [BAK1998] E. Biham, R. J. Anderson, and L. R. Knudsen, Serpent: A new block cipher proposal; in FSE, (1998), pp. 222-238.
 [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.
 [BB2005] A. Bjorner, F. Brenti. Combinatorics of Coxeter groups. New York: Springer, 2005.
 [BB2009] Tomas J. Boothby and Robert W. Bradshaw. Bitslicing and the Method of Four Russians Over Larger Finite Fields. Arxiv 0901.1413, 2009.
 [BeBo2009] Olivier Bernardi and Nicolas Bonichon, Intervals in Catalan lattices and realizers of triangulations, JCTA 116 (2009)
 [BBISHAR2015] S. Banik, A. Bogdanov, T. Isobe, K. Shibutani, H. Hiwatari, T. Akishita, and F. Regazzoni, Midori: A block cipher for low energy; in ASIACRYPT, (2015), pp. 411-436.
 [BBKMW2013] B. Bilgin, A. Bogdanov, M, Knezevic, F. Mendel, and Q. Wang, Fides: Lightweight authenticated cipher with side-channel resistance for constrained hardware; in CHES, (2013), pp. 142-158.
 [BBLSW1999] Babson, Bjorner, Linusson, Shareshian, and Welker, “Complexes of not i-connected graphs,” Topology 38 (1999), 271-299
 [BBMF2008] N. Bonichon, M. Bousquet-Mélou, E. Fusy. Baxter permutations and plane bipolar orientations. Séminaire Lotharingien de combinatoire 61A, article B61Ah, 2008.
 [BPPSST2017] Banik, Pandey, Peyrin, Sasaki, Sim, and Todo, GIFT : A Small Present Towards Reaching the Limit of Lightweight Encryption. Cryptographic Hardware and Embedded Systems - CHES 2017, 2017.
 [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.
 [BIANCO] L. Bianco, P. Dell‘Olmo, S. Giordani An Optimal Algorithm to Find the Jump Number of Partially Ordered Sets Computational Optimization and Applications, 1997, Volume 8, Issue 2, pp 197–210, doi:10.1023/A:1008625405476
 [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
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 [BCM15] Michele Borassi, Pierluigi Crescenzi, and Andrea Marino, Fast and Simple Computation of Top-k Closeness Centralities. Arxiv 1507.01490.
 [BCN1989] Andries E. Brouwer, Arjeh M. Cohen, and Arnold Neumaier. Distance-Regular Graphs, Springer, 1989.
 [BdJ2008] Besser, Amnon, and Rob de Jeu. “Li^(p)-Service? An Algorithm for Computing p-Adic Polylogarithms.” Mathematics of Computation (2008): 1105-1134.
 [BD2004] M. Becker and A. Desoky. A study of the DVD content scrambling system (CSS) algorithm; in Proceedings of ISSPIT, (2004), pp. 353-356.
 [BDP2013] Thomas Brüstle, Grégoire Dupont, Matthieu Pérotin On Maximal Green Sequences Arxiv 1205.2050
 [BDMW2010] K. A. Browning, J. F. Dillon, M. T. McQuistan, and A. J. Wolfe, An APN permutation in dimension six; in Finite Fields: Theory and Applications - FQ9, volume 518 of Contemporary Mathematics, pages 33–42. AMS, 2010.
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 [Bec1992] Bernhard Beckermann. “A reliable method for computing M-Padé approximants on arbitrary staircases”. J. Comput. Appl. Math., 40(1):19-42, 1992. https://doi.org/10.1016/0377-0427(92)90039-Z.
 [BeCoMe] Frits Beukers, Henri Cohen, Anton Mellit, Finite hypergeometric functions, Arxiv 1505.02900
 [Bee] Robert A. Beezer, A First Course in Linear Algebra, http://linear.ups.edu/. Accessed 15 July 2010.
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 [Bel1927] E.T. Bell, “Partition Polynomials”, Annals of Mathematics, Second Series, Vol. 29, No. 1/4 (1927 - 1928), pp. 38-46
 [Benasque2009] Fernando Rodriguez Villegas, The L-function of the quintic, http://users.ictp.it/~villegas/hgm/benasque-2009-report.pdf
 [Ber1987] M. Berger, Geometry I, Springer (Berlin) (1987); doi:10.1007/978-3-540-93815-6
 [Ber1991] C. Berger, “Une version effective du théorème de Hurewicz”, https://tel.archives-ouvertes.fr/tel-00339314/en/.
 [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
 [BerZab05] Nantel Bergeron, Mike Zabrocki, The Hopf algebras of symmetric functions and quasisymmetric functions in non-commutative variables are free and cofree, J. of Algebra and its Applications (8)(2009), No 4, pp. 581–600, doi:10.1142/S0219498809003485, Arxiv math/0509265v3.
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 [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.
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 [Bir1975] J. Birman. Braids, Links, and Mapping Class Groups, Princeton University Press, 1975
 [Bj1980] Anders Björner, Shellable and Cohen-Macaulay partially ordered sets, Trans. Amer. Math. Soc. 260 (1980), 159-183, doi:10.1090/S0002-9947-1980-0570784-2
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 [BK2008] J. Brundan and A. Kleshchev. Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras. Invent. Math. 178 (2009), no. 3, 451–484. MathSciNet MR2551762
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 [BK2017] Pascal Baseilhac and Stefan Kolb. Braid group action and root vectors for the $$q$$-Onsager algebra. Preprint, (2017) Arxiv 1706.08747.
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 [BM2003] Bazzi and Mitter, {it Some constructions of codes from group actions}, (preprint March 2003, available on Mitter’s MIT website).
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