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 365 articles , 2 standard articles )

Showing results 1 to 20 of 365.
Sorted by year (citations)

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  1. Mascot, Nicolas: Certification of modular Galois representations (2018)
  2. Belabas, Karim; Jaulent, Jean-François: The logarithmic class group package in PARI/GP (2017)
  3. Bennett, Michael A.; Billerey, Nicolas: Sums of two $S$-units via Frey-Hellegouarch curves (2017)
  4. 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)
  5. Boston, Nigel; Bush, Michael R.; Hajir, Farshid: Heuristics for $p$-class towers of imaginary quadratic fields (2017)
  6. Braunling, Oliver: Oeljeklaus-Toma manifolds and arithmetic invariants (2017)
  7. Caruso, Xavier: Numerical stability of Euclidean algorithm over ultrametric fields (2017)
  8. Claus Fieker, William Hart, Tommy Hofmann, Fredrik Johansson: Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language (2017) arXiv
  9. Cullinan, John; Hajir, Farshid: Algebraic properties of Kaneko-Zagier lifts of supersingular polynomials (2017)
  10. Euvrard, Charlotte: Explicit bound to distinguish two $L$-functions (2017)
  11. Gil, Jose Ignacio Burgos; Pacetti, Ariel: Hecke and Sturm bounds for Hilbert modular forms over real quadratic fields (2017)
  12. Gras, Georges: Invariant generalized ideal classes - structure theorems for $p$-class groups in $p$-extensions (2017)
  13. Gras, Georges: No general Riemann-Hurwitz formula for relative $p$-class groups (2017)
  14. Jaulent, Jean-François: Naive cyclotomic norms and logarithmic units (2017)
  15. Lemmermeyer, Franz: Quadratic number fields. An introduction with many examples (2017)
  16. Rehmann, U.; Vinberg, E.: On a phenomenon discovered by Heinz Helling (2017)
  17. Roberts, David P.: Hurwitz number fields (2017)
  18. Rouse, Jeremy; Thorner, Jesse: The explicit Sato-Tate conjecture and densities pertaining to Lehmer-type questions (2017)
  19. Saha, Tushar Kanti; Koshiba, Takeshi: Private conjunctive query over encrypted data (2017)
  20. Tayou, Salim: Images of Galois representations associated to certain Siegel modular forms of genus 2 (2017)

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