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.

Keywords for this software

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References in zbMATH (referenced in 610 articles , 2 standard articles )

Showing results 1 to 20 of 610.
Sorted by year (citations)

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  1. Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek: The generators of 3-class group of some fields of degree 6 over (\mathbbQ) (2021)
  2. Beneish, Lea; Mertens, Michael H.: On Weierstrass mock modular forms and a dimension formula for certain vertex operator algebras (2021)
  3. Bennett, Michael A.; Martin, Greg; O’bryant, Kevin; Rechnitzer, Andrew: Counting zeros of Dirichlet (L)-functions (2021)
  4. Bhargava, Manjul; Cremona, John; Fisher, Tom: The proportion of genus one curves over (\mathbbQ) defined by a binary quartic that everywhere locally have a point (2021)
  5. Brock, Bradley W.; Elkies, Noam D.; Jordan, Bruce W.: Periodic continued fractions over (S)-integers in number fields and Skolem’s (p)-adic method (2021)
  6. Burns, David; de Jeu, Rob; Gangl, Herbert; Rahm, Alexander D.; Yasaki, Dan: Hyperbolic tessellations and generators of (K_3) for imaginary quadratic fields (2021)
  7. Doris, Christopher: Exact (p)-adic computation in Magma (2021)
  8. Grantham, Jon; Graves, Hester: The abc conjecture implies that only finitely many (s)-Cullen numbers are repunits (2021)
  9. Griffin, Trevor; Kenshur, Nathan; Price, Abigail; Vandenberg-Daves, Bradshaw; Xue, Hui; Zhu, Daozhou: Monomials of Eisenstein series (2021)
  10. Hemelsoet, Nicolas; Voorhaar, Rik: A computer algorithm for the BGG resolution (2021)
  11. Khaqan, Maryam: Elliptic curves and Thompson’s sporadic simple group (2021)
  12. Languasco, Alessandro: Numerical verification of Littlewood’s bounds for (|L(1,\chi)|) (2021)
  13. Languasco, Alessandro: Efficient computation of the Euler-Kronecker constants of prime cyclotomic fields (2021)
  14. Maire, Christian; Page, Aurel: Codes from unit groups of division algebras over number fields (2021)
  15. Mossinghoff, Michael J.; Silva, Tomás Oliveira E.; Trudgian, Timothy S.: The distribution of (k)-free numbers (2021)
  16. Rickards, James: Computing intersections of closed geodesics on the modular curve (2021)
  17. Tasaka, Koji: Finite and symmetric colored multiple zeta values and multiple harmonic (q)-series at roots of unity (2021)
  18. Verzobio, Matteo: Primitive divisors of elliptic divisibility sequences for elliptic curves with (j=1728) (2021)
  19. Zaïmi, Toufik: Comments on Salem polynomials (2021)
  20. Aka, Menny; Einsiedler, Manfred; Ward, Thomas: A journey through the realm of numbers. From quadratic equations to quadratic reciprocity (2020)

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