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 390 articles , 2 standard articles )

Showing results 1 to 20 of 390.
Sorted by year (citations)

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  1. Baader, S.; Feller, P.; Lewark, L.; Liechti, L.: On the topological 4-genus of torus knots (2018)
  2. Burns, David; Macias Castillo, Daniel; Wuthrich, Christian: On Mordell-Weil groups and congruences between derivatives of twisted Hasse-Weil $L$-functions (2018)
  3. Garoufalidis, Stavros; Reid, Alan W.: Constructing 1-cusped isospectral non-isometric hyperbolic 3-manifolds (2018)
  4. Kohen, Daniel; Pacetti, Ariel: On Heegner points for primes of additive reduction ramifying in the base field (2018)
  5. Mascot, Nicolas: Certification of modular Galois representations (2018)
  6. Mizusawa, Yasushi: Tame pro-2 Galois groups and the basic $\mathbb Z_2$-extension (2018)
  7. Belabas, Karim; Jaulent, Jean-François: The logarithmic class group package in PARI/GP (2017)
  8. Bennett, Michael A.; Billerey, Nicolas: Sums of two $S$-units via Frey-Hellegouarch curves (2017)
  9. Biasse, Jean-François; Espitau, Thomas; Fouque, Pierre-Alain; Gélin, Alexandre; Kirchner, Paul: Computing generator in cyclotomic integer rings. A subfield algorithm for the principal ideal problem in $L_|\varDelta_\mathbb K|\left(\frac12\right)$ and application to the cryptanalysis of a FHE scheme (2017)
  10. Boston, Nigel; Bush, Michael R.; Hajir, Farshid: Heuristics for $p$-class towers of imaginary quadratic fields (2017)
  11. Braunling, Oliver: Oeljeklaus-Toma manifolds and arithmetic invariants (2017)
  12. Caruso, Xavier: Numerical stability of Euclidean algorithm over ultrametric fields (2017)
  13. Claus Fieker, William Hart, Tommy Hofmann, Fredrik Johansson: Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language (2017) arXiv
  14. Cullinan, John; Hajir, Farshid: Algebraic properties of Kaneko-Zagier lifts of supersingular polynomials (2017)
  15. Euvrard, Charlotte: Explicit bound to distinguish two $L$-functions (2017)
  16. Gil, Jose Ignacio Burgos; Pacetti, Ariel: Hecke and Sturm bounds for Hilbert modular forms over real quadratic fields (2017)
  17. Gras, Georges: No general Riemann-Hurwitz formula for relative $p$-class groups (2017)
  18. Gras, Georges: Invariant generalized ideal classes - structure theorems for $p$-class groups in $p$-extensions (2017)
  19. Jaulent, Jean-François: Naive cyclotomic norms and logarithmic units (2017)
  20. Jones, Robert Stephen: Computing ultra-precise eigenvalues of the Laplacian within polygons (2017)

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