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 461 articles , 2 standard articles )

Showing results 1 to 20 of 461.
Sorted by year (citations)

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  1. Balady, Steve; Washington, Lawrence C.: A family of cyclic quartic fields with explicit fundamental units (2019)
  2. Bennett, Michael A.; Gherga, Adela; Rechnitzer, Andrew: Computing elliptic curves over $\mathbb Q$ (2019)
  3. Booker, Andrew R.; Platt, David J.: Turing’s method for the Selberg zeta-function (2019)
  4. Brieulle, Ludovic; De Feo, Luca; Doliskani, Javad; Flori, Jean-Pierre; Schost, Éric: Computing isomorphisms and embeddings of finite fields (2019)
  5. Chinis, Jake: Computing the average root number of an elliptic surface (2019)
  6. Gassert, T. Alden; Smith, Hanson; Stange, Katherine E.: A family of monogenic $S_4$ quartic fields arising from elliptic curves (2019)
  7. Mcgown, Kevin J.; Sands, Jonathan W.; Vallières, Daniel: Numerical evidence for higher order Stark-type conjectures (2019)
  8. Pollack, Paul; Schorn, Peter: Dirichlet’s proof of the three-square theorem: an algorithmic perspective (2019)
  9. Tangedal, Brett A.: A two-variable generalization of the Kummer-Malmstén formula for the logarithm of the double gamma and double sine functions (2019)
  10. Baader, S.; Feller, P.; Lewark, L.; Liechti, L.: On the topological 4-genus of torus knots (2018)
  11. Bettin, Sandro; David, Chantal; Delaunay, Christophe: Non-isotrivial elliptic surfaces with non-zero average root number (2018)
  12. Bettin, Sandro; Molteni, Giuseppe; Sanna, Carlo: Small values of signed harmonic sums (2018)
  13. Bisson, Gaetan; Tibouchi, Mehdi: Constructing permutation rational functions from isogenies (2018)
  14. Booker, Andrew R.: Finite connected components of the aliquot graph (2018)
  15. Burns, David; Macias Castillo, Daniel; Wuthrich, Christian: On Mordell-Weil groups and congruences between derivatives of twisted Hasse-Weil $L$-functions (2018)
  16. Castaño-Bernard, Carlos: A refinement of a conjecture of Gross, Kohnen, and Zagier. To the memory of Fumiyuki Momose (2018)
  17. Checcoli, Sara; Roques, Julien: On some arithmetic properties of Mahler functions (2018)
  18. Cipu, Mihai; Fujita, Yasutsugu; Mignotte, Maurice: Two-parameter families of uniquely extendable Diophantine triples (2018)
  19. Dąbrowski, Andrzej; Szymaszkiewicz, Lucjan: Orders of Tate-Shafarevich groups for the Neumann-Setzer type elliptic curves (2018)
  20. Doliskani, Javad: On division polynomial PIT and supersingularity (2018)

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