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 417 articles , 2 standard articles )

Showing results 1 to 20 of 417.
Sorted by year (citations)

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  1. Baader, S.; Feller, P.; Lewark, L.; Liechti, L.: On the topological 4-genus of torus knots (2018)
  2. Burns, David; Macias Castillo, Daniel; Wuthrich, Christian: On Mordell-Weil groups and congruences between derivatives of twisted Hasse-Weil $L$-functions (2018)
  3. Castaño-Bernard, Carlos: A refinement of a conjecture of Gross, Kohnen, and Zagier. To the memory of Fumiyuki Momose (2018)
  4. Cipu, Mihai; Fujita, Yasutsugu; Mignotte, Maurice: Two-parameter families of uniquely extendable Diophantine triples (2018)
  5. Dąbrowski, Andrzej; Szymaszkiewicz, Lucjan: Orders of Tate-Shafarevich groups for the Neumann-Setzer type elliptic curves (2018)
  6. Fasi, Massimiliano; Higham, Nicholas J.: Multiprecision algorithms for computing the matrix logarithm (2018)
  7. Fité, Francesc; Guitart, Xavier: Fields of definition of elliptic $k$-curves and the realizability of all genus 2 Sato-Tate groups over a number field (2018)
  8. Garoufalidis, Stavros; Reid, Alan W.: Constructing 1-cusped isospectral non-isometric hyperbolic 3-manifolds (2018)
  9. Hubbard, David; Washington, Lawrence C.: Iwasawa invariants of some non-cyclotomic $\mathbbZ_p$-extensions (2018)
  10. Kohen, Daniel; Pacetti, Ariel: On Heegner points for primes of additive reduction ramifying in the base field (2018)
  11. Mascot, Nicolas: Certification of modular Galois representations (2018)
  12. Miyazaki, Takafumi: A polynomial-exponential equation related to the Ramanujan-Nagell equation (2018)
  13. Mizusawa, Yasushi: Tame pro-2 Galois groups and the basic $\mathbb Z_2$-extension (2018)
  14. Mukhi, Sunil; Murthy, Sameer; Wu, Jie-Qiang: Entanglement, replicas, and Thetas (2018)
  15. Roberts, David P.: $\mathrmPGL_2(\mathbbF_\ell)$ number fields with rational companion forms (2018)
  16. Belabas, Karim; Jaulent, Jean-François: The logarithmic class group package in PARI/GP (2017)
  17. Bennett, Michael A.; Billerey, Nicolas: Sums of two $S$-units via Frey-Hellegouarch curves (2017)
  18. Biasse, Jean-François; Espitau, Thomas; Fouque, Pierre-Alain; Gélin, Alexandre; Kirchner, Paul: Computing generator in cyclotomic integer rings. A subfield algorithm for the principal ideal problem in $L_|\varDelta_\mathbb K|\left(\frac12\right)$ and application to the cryptanalysis of a FHE scheme (2017)
  19. Boston, Nigel; Bush, Michael R.; Hajir, Farshid: Heuristics for $p$-class towers of imaginary quadratic fields (2017)
  20. Braunling, Oliver: Oeljeklaus-Toma manifolds and arithmetic invariants (2017)

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