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 429 articles , 2 standard articles )

Showing results 1 to 20 of 429.
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. Bettin, Sandro; David, Chantal; Delaunay, Christophe: Non-isotrivial elliptic surfaces with non-zero average root number (2018)
  3. Bisson, Gaetan; Tibouchi, Mehdi: Constructing permutation rational functions from isogenies (2018)
  4. Booker, Andrew R.: Finite connected components of the aliquot graph (2018)
  5. Burns, David; Macias Castillo, Daniel; Wuthrich, Christian: On Mordell-Weil groups and congruences between derivatives of twisted Hasse-Weil $L$-functions (2018)
  6. Castaño-Bernard, Carlos: A refinement of a conjecture of Gross, Kohnen, and Zagier. To the memory of Fumiyuki Momose (2018)
  7. Cipu, Mihai; Fujita, Yasutsugu; Mignotte, Maurice: Two-parameter families of uniquely extendable Diophantine triples (2018)
  8. Dąbrowski, Andrzej; Szymaszkiewicz, Lucjan: Orders of Tate-Shafarevich groups for the Neumann-Setzer type elliptic curves (2018)
  9. Fasi, Massimiliano; Higham, Nicholas J.: Multiprecision algorithms for computing the matrix logarithm (2018)
  10. 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)
  11. Fouvry, Étienne; Levesque, Claude; Waldschmidt, Michel: Representation of integers by cyclotomic binary forms (2018)
  12. Gaba, Radu; Popa, Alexandru A.: A generalization of Ramanujan’s congruence to modular forms of prime level (2018)
  13. Garoufalidis, Stavros; Reid, Alan W.: Constructing 1-cusped isospectral non-isometric hyperbolic 3-manifolds (2018)
  14. Grenié, Loïc; Molteni, Giuseppe: Explicit bounds for generators of the class group (2018)
  15. Hubbard, David; Washington, Lawrence C.: Iwasawa invariants of some non-cyclotomic $\mathbbZ_p$-extensions (2018)
  16. Kohen, Daniel; Pacetti, Ariel: On Heegner points for primes of additive reduction ramifying in the base field (2018)
  17. Koprowski, Przemysław; Czogała, Alfred: Computing with quadratic forms over number fields (2018)
  18. Mascot, Nicolas: Companion forms and explicit computation of $\mathrmPGL_2$ number fields with very little ramification (2018)
  19. Mascot, Nicolas: Certification of modular Galois representations (2018)
  20. Miyazaki, Takafumi: A polynomial-exponential equation related to the Ramanujan-Nagell equation (2018)

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