Computer algebra system (CAS). Magma is a large, well-supported software package designed for computations in algebra, number theory, algebraic geometry and algebraic combinatorics. It provides a mathematically rigorous environment for defining and working with structures such as groups, rings, fields, modules, algebras, schemes, curves, graphs, designs, codes and many others. Magma also supports a number of databases designed to aid computational research in those areas of mathematics which are algebraic in nature. The overview provides a summary of Magma’s main features. One of the aims whilst developing Magma is to maintain extensive documentation describing the features of the system. This handbook is available online. The documentation section should help introduce new users to the Magma language. Magma is distributed by the Computational Algebra Group at the University of Sydney. Its development has benefited enormously from contributions made by many members of the mathematical community. We encourage all users to report any bugs they find; regular patch fixes are available from the downloads section.

This software is also referenced in ORMS.

References in zbMATH (referenced in 2015 articles , 4 standard articles )

Showing results 1 to 20 of 2015.
Sorted by year (citations)

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  1. Bérczes, Attila; Pink, István; Savaş, Gamze; Soydan, Gökhan: On the Diophantine equation $(x+1)^k+(x+2)^k+\ldots+(2x)^k=y^n$ (2018)
  2. Blasiak, Jonah; Fomin, Sergey: Rules of three for commutation relations (2018)
  3. Borello, Martino; de la Cruz, Javier: Some new results on the self-dual [120,60,24] code (2018)
  4. Bouyuklieva, Stefka; Harada, Masaaki; Munemasa, Akihiro: Nonexistence of certain singly even self-dual codes with minimal shadow (2018)
  5. Bray, John N.; Bäärnhielm, Henrik: A new method for recognising Suzuki groups (2018)
  6. Brumer, Armand; Kramer, Kenneth; Sabitova, Maria: Explicit determination of root numbers of abelian varieties (2018)
  7. Burns, David; Macias Castillo, Daniel; Wuthrich, Christian: On Mordell-Weil groups and congruences between derivatives of twisted Hasse-Weil $L$-functions (2018)
  8. Cheng, Xi-Ming; Greaves, Gary R.W.; Koolen, Jack H.: Graphs with three eigenvalues and second largest eigenvalue at most 1 (2018)
  9. Conder, Marston D. E.: On a family of groups defined by Said Sidki (2018)
  10. Daniels, Harris B.; Lozano-Robledo, Álvaro; Najman, Filip; Sutherland, Andrew V.: Torsion subgroups of rational elliptic curves over the compositum of all cubic fields (2018)
  11. Dietrich, Heiko; Wanless, Ian M.: Small partial Latin squares that embed in an infinite group but not into any finite group (2018)
  12. Doyle, John R.: Preperiodic portraits for unicritical polynomials over a rational function field (2018)
  13. González-Jiménez, Enrique; Lozano-Robledo, Álvaro: On the torsion of rational elliptic curves over quartic fields (2018)
  14. Jeon, Daeyeol: Bielliptic modular curves $X_0^+(N)$ (2018)
  15. Kitture, Rahul Dattatraya; Yadav, Manoj K.: Note on Caranti’s method of construction of Miller groups (2018)
  16. Logan, Adam: New realizations of modular forms in Calabi-Yau threefolds arising from $\phi^4$ theory (2018)
  17. Mascot, Nicolas: Certification of modular Galois representations (2018)
  18. Naik, Tushar Kanta; Yadav, Manoj K.: Finite $p$-groups of conjugate type $\1,p^3$$ (2018)
  19. Park, Cheol-Min: Cryptanalysis of matrix-based UOV (2018)
  20. Roberts, Gareth E.: Morse theory and relative equilibria in the planar $n$-vortex problem (2018)

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