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 655 articles , 3 standard articles )

Showing results 1 to 20 of 655.
Sorted by year (citations)

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  1. Amir, Malik; Hong, Letong: On (L)-functions of modular elliptic curves and certain (K3) surfaces (2022)
  2. Azizi, Abdelmalek; Elmouhib, Fouad; Talbi, Mohamed: 5-rank of ambiguous class groups of quintic Kummer extensions (2022)
  3. Balakrishnan, Jennifer S.; Craig, William; Ono, Ken: Variations of Lehmer’s conjecture for Ramanujan’s tau-function (2022)
  4. Barth, Dominik; Wenz, Andreas: On Elkies’ method for bounding the transitivity degree of Galois groups (2022)
  5. Brandhorst, Simon; Shimada, Ichiro: Borcherds’ method for Enriques surfaces (2022)
  6. Castagnos, Guilhem; Laguillaumie, Fabien; Tucker, Ida: A tighter proof for CCA secure inner product functional encryption: genericity meets efficiency (2022)
  7. El Habibi, Abdelaziz; Mizusawa, Yasushi: On pro-(p)-extensions of number fields with restricted ramification over intermediate (\mathbbZ_p)-extensions (2022)
  8. Fujii, Satoshi: On families of imaginary abelian fields with pseudo-null unramified Iwasawa modules (2022)
  9. Gillibert, Jean; Gillibert, Pierre: Galois covers of (\mathbbP^1) and number fields with large class groups (2022)
  10. Hančová, Martina; Gajdoš, Andrej; Hanč, Jozef: A practical, effective calculation of gamma difference distributions with open data science tools (2022)
  11. Languasco, Alessandro; Trudgian, Timothy S.: Uniform effective estimates for (|L (1, \chi)|) (2022)
  12. Lim, Donghyeok: On (p)-rationality of (\mathbbQ(\zeta_2l+1)^+) for Sophie Germain primes (l) (2022)
  13. Miguel, Narcís; Simó, Carles; Vieiro, Arturo: Escape times across the golden cantorus of the standard map (2022)
  14. Molteni, Giuseppe: Explicit bounds for even moments of Bernstein’s polynomials (2022)
  15. Morrill, Thomas; Platt, Dave; Trudgian, Tim: Sign changes in the prime number theorem (2022)
  16. Müller, Nicolas; Pink, Richard: Hyperelliptic curves with many automorphisms (2022)
  17. Peaucelle, Baptiste: Explicit small image theorems for residual modular representations (2022)
  18. Petit, Valentin: Non-divisible point on a two-parameter family of elliptic curves (2022)
  19. Zaïmi, Toufik: On Salem half-norms (2022)
  20. Abdullah, Herish; Ali Mustafa, Andam; Pappalardi, Francesco: Density of the quasi (r)-rank Artin problem (2021)

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