PARI/GP

PARI/GP is a widely used Computer Algebra System 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 201 articles):

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  1. Balakrishnan, Jennifer S.; Çiperiani, Mirela; Stein, William: $p$-adic heights of Heegner points and $\Lambda$-adic regulators (2015)
  2. El Otmani, S.; Rhin, G.; Sac-Épée, J.-M.: A salem number with degree 34 and trace -3 (2015)
  3. Fujita, Yasutsugu; Nara, Tadahisa: Generators and integral points on twists of the Fermat cubic (2015)
  4. Gusić, Ivica; Tadić, Petra: Injectivity of the specialization homomorphism of elliptic curves (2015)
  5. Miller, John C.: Class numbers in cyclotomic $\mathbbZ_p$-extensions (2015)
  6. Ramaré, Olivier: Explicit estimates on several summatory functions involving the Moebius function (2015)
  7. Sáez, Pablo; Vidaux, Xavier; Vsemirnov, Maxim: Optimal bounds for Büchi’s problem in modular arithmetic (2015)
  8. Sha, Min: On the lattices from elliptic curves over finite fields (2015)
  9. Aguirre, Julián; Dujella, Andrej; Jukić Bokun, Mirela; Peral, Juan Carlos: High rank elliptic curves with prescribed torsion group over quadratic fields (2014)
  10. Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed: Structure of $\mathrm Gal(\Bbbk _2^(2)/\Bbbk)$ for some fields $\Bbbk=\mathbb Q(\sqrt2p_1p_2,i)$ with $\mathbf Cl_2(\Bbbk)\simeq (2, 2, 2)$ (2014)
  11. Briët, Jop; de Oliveira Filho, Fernando Mário; Vallentin, Frank: Grothendieck inequalities for semidefinite programs with rank constraint (2014)
  12. Castaño-Bernard, C.; Gendron, T.M.: Modular invariant of quantum tori (2014)
  13. Costa, Edgar; Gerbicz, Robert; Harvey, David: A search for Wilson primes (2014)
  14. El-Guindy, Ahmad; Raji, Wissam: Unimodularity of zeros of period polynomials of Hecke eigenforms (2014)
  15. Flammang, V.: Comparison of measures of totally positive polynomials (2014)
  16. Galindo, David; Vivek, Srinivas: Limits of a conjecture on a leakage-resilient cryptosystem (2014)
  17. Joshi, Kirti; Petrov, Aleksandar: On the action of Hecke operators on Drinfeld modular forms (2014)
  18. Mizusawa, Yasushi; Nishikawa, Shinya: Isometric embeddings of finite fields (2014)
  19. Nomura, Akito: Notes on the existence of unramified non-abelian $p$-extensions over cyclic fields (2014)
  20. Omar, Sami; Ouni, Raouf; Mazhouda, Kamel: On the Li coefficients for the Hecke $L$-functions (2014)

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