PARI/GP

PARI/GP is a widely used Computer Algebra System (CAS) 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 482 articles , 2 standard articles )

Showing results 421 to 440 of 482.
Sorted by year (citations)

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  1. de Weger, Benne: Cryptanalysis of RSA with small prime difference (2002)
  2. Elbaz-Vincent, Philippe; Gangl, Herbert; Soulé, Christophe: Some computations of the cohomology of (\textGL_N(\mathbbZ)) and the (K)-theory of (\mathbbZ) (2002)
  3. Heuberger, Clemens; Pethő, Attila; Tichy, Robert F.: Thomas’ family of Thue equations over imaginary quadratic fields (2002)
  4. Holden, Joshua: Comparison of algorithms to calculate quadratic irregularity of prime numbers (2002)
  5. Lalande, Franck: Réalisation de produits en couronne comme groupe de Galois de polynômes réciproques et construction de polynômes génériques (avec appendice par J.  Oesterlé). (Realization of wreath products as Galois group of reciprocal polynomials and construction of generic polynomials (with an appendix by J.  Oesterlé)) (2002)
  6. Narkiewicz, Władysław: Polynomial cycles in certain rings of rationals (2002)
  7. Simon, Denis: Solving norm equations in relative number fields using (S)-units (2002)
  8. Caprotti, Olga; Oostdijk, Martijn: Formal and efficient primality proofs by use of computer algebra oracles (2001)
  9. Heuberger, Clemens: On a conjecture of E. Thomas concerning parametrized Thue equations (2001)
  10. Komatsu, Toru: A correction of Nakahara’s table. (2001)
  11. Verdonk, Brigitte; Cuyt, Annie; Verschaeren, Dennis: A precision- and range-independent tool for testing floating-point arithmetric. I: Basic operations, square root, and remainder (2001)
  12. Vinatier, Stéphane: Galois structure in weakly ramified extensions of (\mathbbQ) (2001)
  13. Bartholdi, Laurent: Lamps, factorizations, and finite fields (2000)
  14. Borcherds, Richard E.: Reflection groups of Lorentzian lattices (2000)
  15. Buhler, Joe; Shokrollahi, M. Amin; Stemann, Volker: Fast and precise Fourier transforms (2000)
  16. Cohen, Henri; Roblot, Xavier-François: Computing the Hilbert class field of real quadratic fields (2000)
  17. Coulson, David; Goodman, Oliver A.; Hodgson, Craig D.; Neumann, Walter D.: Computing arithmetic invariants of 3-manifolds (2000)
  18. Gunnells, Paul E.: Computing Hecke eigenvalues below the cohomological dimension (2000)
  19. Holden, Joshua Brandon: On the Fontaine-Mazur conjecture for number fields and an analogue for function fields (2000)
  20. Nitaj, Abderrahmane: Invariants of Frey-Hellegouarch curves and large Tate-Shafarevich groups (2000)

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