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 576 articles , 2 standard articles )

Showing results 1 to 20 of 576.
Sorted by year (citations)

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  1. Altmann, Anna; Awtrey, Chad; Cryan, Sam; Shannon, Kiley; Touchette, Madeleine: Galois groups of doubly even octic polynomials (2020)
  2. Aouissi, Siham; Talbi, Mohamed; Ismaili, Moulay Chrif; Azizi, Abdelmalek: On a conjecture of Lemmermeyer (2020)
  3. Aoyama, Daiki; Kimura, Iwao: On the size of determinants in the class number formulae of cyclotomic function fields (2020)
  4. Argáez-García, Alejandro; Patel, Vandita: On perfect powers that are sums of cubes of a seven term arithmetic progression (2020)
  5. Bachmann, Henrik; Kühn, Ulf: A dimension conjecture for (q)-analogues of multiple zeta values (2020)
  6. Barbulescu, Razvan; Ray, Jishnu: Numerical verification of the Cohen-Lenstra-Martinet heuristics and of Greenberg’s (p)-rationality conjecture (2020)
  7. Bertin, Marie José; Lecacheux, Odile: Apéry-Fermi pencil of (K3)-surfaces and 2-isogenies (2020)
  8. Bourjaily, Jacob L.; McLeod, Andrew J.; Vergu, Cristian; Volk, Matthias; von Hippel, Matt; Wilhelm, Matthias: Rooting out letters: octagonal symbol alphabets and algebraic number theory (2020)
  9. Chenevier, Gaëtan: An automorphic generalization of the Hermite-Minkowski theorem (2020)
  10. Cipu, Mihai; Filipin, Alan; Fujita, Yasutsugu: Diophantine pairs that induce certain Diophantine triples (2020)
  11. Cipu, Mihai; Filipin, Alan; Fujita, Yasutsugu: An infinite two-parameter family of Diophantine triples (2020)
  12. Freitas, Nuno; Kraus, Alain; Siksek, Samir: Class field theory, Diophantine analysis and the asymptotic Fermat’s last theorem (2020)
  13. Gras, Georges: New criteria for Vandiver’s conjecture using Gauss sums -- heuristics and numerical experiments (2020)
  14. Guasch, Oriol; Sánchez-Martín, Patricia; Ghilardi, Davide: Application of the transfer matrix approximation for wave propagation in a metafluid representing an acoustic black hole duct termination (2020)
  15. Haynou, Mbarek; Taous, Mohammed: The 4-rank of the class group of some real pure quartic number fields (2020)
  16. Itoh, Tsuyoshi: On the structure of the Galois group of the maximal pro-(p) extension with restricted ramification over the cyclotomic (\mathbbZ_p)-extension (2020)
  17. Jaulent, Jean-François: Universal norms and Greenberg conjecture (2020)
  18. Kahl, Karsten; Kintscher, Nils: Automated local Fourier analysis (aLFA) (2020)
  19. Mascot, Nicolas: Hensel-lifting torsion points on Jacobians and Galois representations (2020)
  20. Ramaré, Olivier; Srivastav, Priyamvad; Serra, Oriol: Product of primes in arithmetic progressions (2020)

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