PARI/GP

PARI/GP is a widely used Computer Algebra System designed for fast computations in number theory, but also contains a large number of other useful functions to compute with mathematical entities such as matrices, power series, algebraic or p-adic numbers, etc., and a lot of transcendental functions. PARI is also available as a C library to allow for faster computations.

This software is also referenced in ORMS.


References in zbMATH (referenced in 118 articles):

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  1. Mizusawa, Yasushi; Nishikawa, Shinya: Isometric embeddings of finite fields (2014)
  2. Borisov, Lev A.; Gunnells, Paul E.: On Hilbert modular threefolds of discriminant 49 (2013)
  3. Das, Abhijit: Computational number theory (2013)
  4. Dieulefait, L.V.; Mink, M.; Moroz, B.Z.: On an elliptic curve defined over $\Bbb{Q}(\sqrt -23)$ (2013)
  5. Elbaz-Vincent, Philippe; Gangl, Herbert; Soulé, Christophe: Perfect forms, K-theory and the cohomology of modular groups (2013)
  6. El Otmani, Souad; Maul, Armand; Rhin, Georges; Sac-Épée, Jean-Marc: Integer linear programming applied to determining monic hyperbolic irreducible polynomials with integer coefficients and span less than 4 (2013)
  7. Hoffman, J.William; Wang, Haohao: 7-gons and genus three hyperelliptic curves (2013)
  8. Mizusawa, Yasushi; Ozaki, Manabu: On tame pro-$p$ Galois groups over basic $\Bbb Z_p$-extensions (2013)
  9. Morra, Anna: An algorithm to compute relative cubic fields (2013)
  10. Ramaré, Olivier: From explicit estimates for primes to explicit estimates for the Möbius function (2013)
  11. Ramaré, Olivier: Explicit estimates for the summatory function of $\varLambda (n)/n$ from the one of $\varLambda (n)$ (2013)
  12. Stein, William; Wuthrich, Christian: Algorithms for the arithmetic of elliptic curves using Iwasawa theory (2013)
  13. Welschenbach, Michael: Cryptography in C and C++ (2013)
  14. Yasuda, Masaya: Torsion points of elliptic curves with bad reduction at some primes. II (2013)
  15. Aguirre, Julián; Dujella, Andrej; Peral, Juan Carlos: On the rank of elliptic curves coming from rational Diophantine triples (2012)
  16. Cohn, Henry; Woo, Jeechul: Three-point bounds for energy minimization (2012)
  17. Dieulefait, Luis; Pacetti, Ariel; Schütt, Matthias: Modularity of the Consani-Scyholten quintic with an appendix by José Burgos Gil and Ariel Pacetti (2012)
  18. Jones, John W.; Wallington, Rachel: Number fields with solvable Galois groups and small Galois root discriminants (2012)
  19. Languasco, Alessandro; Settimi, Valentina: On a Diophantine problem with one prime, two squares of primes and $s$ powers of two (2012)
  20. Silverman, Joseph H.: Elliptic Carmichael numbers and elliptic korselt criteria (2012)

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