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 599 articles , 2 standard articles )

Showing results 1 to 20 of 599.
Sorted by year (citations)

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  1. Beneish, Lea; Mertens, Michael H.: On Weierstrass mock modular forms and a dimension formula for certain vertex operator algebras (2021)
  2. Bennett, Michael A.; Martin, Greg; O’bryant, Kevin; Rechnitzer, Andrew: Counting zeros of Dirichlet (L)-functions (2021)
  3. 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)
  4. Doris, Christopher: Exact (p)-adic computation in Magma (2021)
  5. Griffin, Trevor; Kenshur, Nathan; Price, Abigail; Vandenberg-Daves, Bradshaw; Xue, Hui; Zhu, Daozhou: Monomials of Eisenstein series (2021)
  6. Hemelsoet, Nicolas; Voorhaar, Rik: A computer algorithm for the BGG resolution (2021)
  7. Languasco, Alessandro: Numerical verification of Littlewood’s bounds for (|L(1,\chi)|) (2021)
  8. Languasco, Alessandro: Efficient computation of the Euler-Kronecker constants of prime cyclotomic fields (2021)
  9. Mossinghoff, Michael J.; Silva, Tomás Oliveira E.; Trudgian, Timothy S.: The distribution of (k)-free numbers (2021)
  10. Aka, Menny; Einsiedler, Manfred; Ward, Thomas: A journey through the realm of numbers. From quadratic equations to quadratic reciprocity (2020)
  11. Altmann, Anna; Awtrey, Chad; Cryan, Sam; Shannon, Kiley; Touchette, Madeleine: Galois groups of doubly even octic polynomials (2020)
  12. Aouissi, Siham; Talbi, Mohamed; Ismaili, Moulay Chrif; Azizi, Abdelmalek: On a conjecture of Lemmermeyer (2020)
  13. Aoyama, Daiki; Kimura, Iwao: On the size of determinants in the class number formulae of cyclotomic function fields (2020)
  14. Argáez-García, Alejandro; Patel, Vandita: On perfect powers that are sums of cubes of a seven term arithmetic progression (2020)
  15. Bachmann, Henrik; Kühn, Ulf: A dimension conjecture for (q)-analogues of multiple zeta values (2020)
  16. Bai, Hairong; Kızıldere, Elif; Soydan, Gökhan; Yuan, Pingzhi: On the exponential Diophantine equation ((n-1)^x+(n+2)^y=n^z) (2020)
  17. Barbulescu, Razvan; Ray, Jishnu: Numerical verification of the Cohen-Lenstra-Martinet heuristics and of Greenberg’s (p)-rationality conjecture (2020)
  18. Battistoni, Francesco: On small discriminants of number fields of degree 8 and 9 (2020)
  19. Bernardi, Dominique; Perrin-Riou, Bernadette: Modular symbols and Petersson’s product (2020)
  20. Bertin, Marie José; Lecacheux, Odile: Apéry-Fermi pencil of (K3)-surfaces and 2-isogenies (2020)

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