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 472 articles , 2 standard articles )

Showing results 1 to 20 of 472.
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  1. Szutkoski, Jonas; van Hoeij, Mark: The complexity of computing all subfields of an algebraic number field (2019-2019)
  2. Balady, Steve; Washington, Lawrence C.: A family of cyclic quartic fields with explicit fundamental units (2019)
  3. Bennett, Michael A.; Gherga, Adela; Rechnitzer, Andrew: Computing elliptic curves over (\mathbbQ) (2019)
  4. Booker, Andrew R.; Platt, David J.: Turing’s method for the Selberg zeta-function (2019)
  5. Brieulle, Ludovic; De Feo, Luca; Doliskani, Javad; Flori, Jean-Pierre; Schost, Éric: Computing isomorphisms and embeddings of finite fields (2019)
  6. Cerri, Jean-Paul; Lezowski, Pierre: Computation of Euclidean minima in totally definite quaternion fields (2019)
  7. Chinis, Jake: Computing the average root number of an elliptic surface (2019)
  8. Delbourgo, Daniel; Morgan, Kerri: An algorithm which outputs a graph with a specified chromatic factor (2019)
  9. Gassert, T. Alden; Smith, Hanson; Stange, Katherine E.: A family of monogenic (S_4) quartic fields arising from elliptic curves (2019)
  10. Gonçalves, Felipe: A sharpened Strichartz inequality for radial functions (2019)
  11. Gras, Georges: Heuristics and conjectures in the direction of a (p)-adic Brauer-Siegel theorem (2019)
  12. Grenié, Loïc; Molteni, Giuseppe: An explicit Chebotarev density theorem under GRH (2019)
  13. Mcgown, Kevin J.; Sands, Jonathan W.; Vallières, Daniel: Numerical evidence for higher order Stark-type conjectures (2019)
  14. Pollack, Paul; Schorn, Peter: Dirichlet’s proof of the three-square theorem: an algorithmic perspective (2019)
  15. Riffaut, Antonin: Equations with powers of singular moduli (2019)
  16. Tangedal, Brett A.: A two-variable generalization of the Kummer-Malmstén formula for the logarithm of the double gamma and double sine functions (2019)
  17. Wood, Melanie Matchett: Nonabelian Cohen-Lenstra moments (2019)
  18. Baader, S.; Feller, P.; Lewark, L.; Liechti, L.: On the topological 4-genus of torus knots (2018)
  19. Bettin, Sandro; David, Chantal; Delaunay, Christophe: Non-isotrivial elliptic surfaces with non-zero average root number (2018)
  20. Bettin, Sandro; Molteni, Giuseppe; Sanna, Carlo: Small values of signed harmonic sums (2018)

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