The references for Sage, sorted alphabetically by citation key.
REFERENCES:
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
A
M. Aagaard, R. AlTawy, G. Gong, K. Mandal, R. Rohit, N. Zidaric “WAGE: An Authenticated CipherSubmission to the NIST LWC Competition” https://csrc.nist.gov/CSRC/media/Projects/Lightweight-Cryptography/documents/round-1/spec-doc/wage-spec.pdf
Julian R. Abel, On the Existence of Balanced Incomplete Block Designs and Transversal Designs, PhD Thesis, University of New South Wales, 1995
M. Aschenbrenner, C. Hillar, Finite generation of symmetric ideals. Trans. Amer. Math. Soc. 359 (2007), no. 11, 5171–5192.
M. Aschenbrenner, C. Hillar, An Algorithm for Finding Symmetric Groebner Bases in Infinite Dimensional Rings. arXiv 0801.4439.
R. Avanzi, S. Banik, A. Bogdanvo, O. Dunkelman, S. Huang, F. Regazzoni “Qameleonv. 1.0” https://csrc.nist.gov/CSRC/media/Projects/Lightweight-Cryptography/documents/round-1/spec-doc/qameleon-spec.pdf
A. Abad, R. Barrio, F. Blesa, M. Rodriguez. “TIDES tutorial: Integrating ODEs by using the Taylor Series Method.” http://www.unizar.es/acz/05Publicaciones/Monografias/MonografiasPublicadas/Monografia36/IndMonogr36.htm
A. Abad, R. Barrio, F. Blesa, M. Rodriguez. Algorithm 924. ACM Transactions on Mathematical Software, 39 no. 1 (2012), 1-28.
A. Abdomnicai, T. P. Berger, C. Clavier, J. Francq, P. Huynh, V. Lallemand, K. Le Gouguec, M. Minier, L. Reynaud, G. Thomas. “Lilliput-AE: a New Lightweight Tweakable BlockCipher for Authenticated Encryption with AssociatedData” https://csrc.nist.gov/CSRC/media/Projects/Lightweight-Cryptography/documents/round-1/spec-doc/LILLIPUT-AE-spec.pdf
V. Arul, A. J. Best, E. Costa, R. Magner, and N. Triantafillou, Computing zeta functions of cyclic covers in large characteristic, The Open Book Series, vol. 2, no. 1, pp. 37–53, Jan. 2019.
R. Aharoni and E. Berger and R. Ziv. Independent systems of representatives in weighted graphs. Combinatorica vol 27, num 3, p253–267, 2007. doi:10.1007/s00493-007-2086-y.
R.J.R. Abel and Y.W. Cheng, Some new MOLS of order 2np for p a prime power, The Australasian Journal of Combinatorics, vol 10 (1994)
F. N. Abu-Khzam, R. L. Collins, M. R. Fellows, M. A. Langston, W. H. Suters, and C. T. Symons: Kernelization Algorithm for the Vertex Cover Problem: Theory and Experiments. SIAM ALENEX/ANALCO 2004: 62-69.
Lennart Ackermans, Oplosbaarheid van Kegelsneden. http://www.math.leidenuniv.nl/nl/theses/Bachelor/.
L. Addario-Berry, M. Chudnovsky, F. Havet, B. Reed, P. Seymour, Bisimplicial vertices in even-hole-free graphs. Journal of Combinatorial Theory, Series B, vol 98, n.6, pp 1119-1164, 2008. doi:10.1016/j.jctb.2007.12.006.
N. Alon, I. Benjamini and Alan Stacey, Percolation on finite graphs and isoperimetric inequalities, The Annals of Probability 32 (2004), no. 3A, 1727-1745.
Federico Ardila, Mariel Supina, and Andrés R. Vindas-Meléndez, The Equivariant Ehrhart Theory of the Permutahedron, Proc. Amer. Math. Soc. Volume 148, Number 12, 2020, pp. 5091–5107.
V. Arlazarov, E. Dinic, M. Kronrod, and I. Faradzev. ‘On Economical Construction of the Transitive Closure of a Directed Graph.’ Dokl. Akad. Nauk. SSSR No. 194 (in Russian), English Translation in Soviet Math Dokl. No. 11, 1970.
M. R. Albrecht, B. Driessen, E. B. Kavun, G. Leander, C. Paar, and T. Yalcin, Block ciphers - focus on the linear layer (feat. PRIDE); in CRYPTO, (2014), pp. 57-76.
J.-C Aval, A. Boussicault, M. Bouvel, M. Silimbani, Combinatorics of non-ambiguous trees, arXiv 1305.3716
Arett, Danielle and Doree, Suzanne, Coloring and counting on the Hanoi graphs. Mathematics Magazine, Volume 83, Number 3, June 2010, pages 200-9. doi:10.4169/002557010X494841.
A. Apostolico, A. Ehrenfeucht, Efficient detection of quasiperiodicities in strings, Theoret. Comput. Sci. 119 (1993) 247–265.
George E. Andrews, F. G. Garvan, Dyson’s crank of a partition. Bull. Amer. Math. Soc. (N.S.) Volume 18, Number 2 (1988), 167-171. http://projecteuclid.org/euclid.bams/1183554533
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, doi:10.1007/s12532-016-0104-z
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.
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)
Karim Adiprasito, June Huh, and Eric Katz. Hodge theory for combinatorial geometries. arXiv 1511.02888.
Aubin Arroyo, Isabel Hubard, Klavdija Kutnar, Eugenia O’Reilly, and Primož Šparl. Classification of Symmetric Tabačjn Graphs. Graphs and Combinatorics 31:1137-1153, 2015. doi:10.1007/s00373-014-1447-8
J.-P. Aumasson, L. Henzen, W. Meier, and R. C-W Phan, Sha-3 proposal blake; in Submission to NIST, (2008).
A. Aho, J. Hopcroft, and J. Ullman. ‘Chapter 6: Matrix Multiplication and Related Operations.’ The Design and Analysis of Computer Algorithms. Addison-Wesley, 1974.
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.
M. Ajtai. Generating hard instances of lattice problems (extended abstract). STOC, pp. 99–108, ACM, 1996.
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
Sang Yook An, Seog Young Kim, David C. Marshall, Susan H. Marshall, William G. McCallum, Alexander R. Perlis, Jacobians of Genus One Curves, Journal of Number Theory 90 (2002), pp.304–315, http://www.math.arizona.edu/~wmc/Research/JacobianFinal.pdf
A. Alvarado, A. Koutsianas, B. Malmskog, C. Rasmussen, C. Vincent, and M. West, A robust implementation for solving the S-unit equation and several applications. arXiv 1903.00977
S. Ariki, N. Jacon, and C. Lecouvey. The modular branching rule for affine Hecke algebras of type A. Adv. Math. 228:481-526, 2011.
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
A. A. Albert, A Structure Theory for Jordan Algebras. Annals of Mathematics, Second Series, Vol. 48, No. 3 (Jul., 1947), pp. 546–567.
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.
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.
D. Aldous, The random walk construction of uniform spanning trees, SIAM J Discrete Math 3 (1990), 450-465. doi:10.1137/0403039.
E. Andreeva, V. Lallemand, A. Purnal, R. Reyhanitabar, A. Roy, D. Vizar “ForkAE v.1” https://csrc.nist.gov/CSRC/media/Projects/Lightweight-Cryptography/documents/round-1/spec-doc/forkae-spec.pdf
- M. F. Atiyah and I. G. Macdonald, “Introduction to commutative
algebra”, Addison-Wesley, 1969.
R. Abraham and J. E. Marsden, “Foundations of Mechanics”, Addison-Wesley, 1980.
J. F. Adams and H. R. Margolis, “Sub-Hopf-algebras of the Steenrod algebra,” Proc. Cambridge Philos. Soc. 76 (1974), 45-52.
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
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T. Apostol, Modular functions and Dirichlet series in number theory, Springer, 1997 (2nd ed), section 3.7–3.9.
George E. Andrews, Peter Paule, Axel Riese, MacMahon’s partition analysis: the Omega package, European J. Combin. 22 (2001), no. 7, 887–904.
D. Armstrong. Generalized noncrossing partitions and combinatorics of Coxeter groups. Mem. Amer. Math. Soc., 2006.
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
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
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
P. Arnoux, Sturmian sequences, in Substitutions in Dynamics, N. Pytheas Fogg (Ed.), Arithmetics, and Combinatorics (Lecture Notes in Mathematics, Vol. 1794), 2002.
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Michael Artin, Fernando Rodriguez-Villegas, John Tate, On the Jacobians of plane cubics, Advances in Mathematics 198 (2005) 1, pp. 366–382 doi:10.1016/j.aim.2005.06.004 http://www.math.utexas.edu/users/villegas/publications/jacobian-cubics.pdf
F. W. J. Olver: 9. Bessel Functions of Integer Order, in Abramowitz and Stegun: Handbook of Mathematical Functions. https://personal.math.ubc.ca/~cbm/aands/page_355.htm
H. A. Antosiewicz: 10. Bessel Functions of Fractional Order, in Abramowitz and Stegun: Handbook of Mathematical Functions. https://personal.math.ubc.ca/~cbm/aands/page_435.htm
M. Abramowitz: 12. Struve Functions and Related Functions, in Abramowitz and Stegun: Handbook of Mathematical Functions. https://personal.math.ubc.ca/~cbm/aands/page_495.htm
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, National Bureau of Standards Applied Mathematics Series, 55. 1964. See also https://personal.math.ubc.ca/~cbm/aands/.
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Jean-Paul Allouche, Jeffrey Shallit, Automatic Sequences: Theory, Applications, Generalizations, Cambridge University Press, 2003.
Sami Assaf. Dual equivalence graphs and a combinatorial proof of LLT and Macdonald positivity. (2008). arXiv 1005.3759v5.
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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
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B
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