
Magma
 Referenced in 1635 articles
[sw00540]
 package designed for computations in algebra, number theory, algebraic geometry and algebraic combinatorics. It provides ... many others. Magma also supports a number of databases designed to aid computational research...

SageMath
 Referenced in 737 articles
[sw00825]
 research and teaching in algebra, geometry, number theory, cryptography, numerical computation, and related areas. Both...

PARI/GP
 Referenced in 302 articles
[sw00680]
 designed for fast computations in number theory, but also contains a large number of other...

FLINT
 Referenced in 17 articles
[sw00297]
 Fast library for number theory: an introduction. We discuss FLINT (Fast Library for Number Theory ... library to support computations in number theory, including highly optimised routines for polynomial arithmetic...

LiDIA
 Referenced in 19 articles
[sw00518]
 LiDIA: A library for computational number theory. LiDIA is a C++ library for number theory...

LBNL
 Referenced in 24 articles
[sw04883]
 number generator based on provably normal number theory...

GloptiPoly
 Referenced in 184 articles
[sw04343]
 algebra, Fourier analysis, functional analysis, operator theory, probability and statistics, to cite ... short formulation, the GPM has a large number of important applications in various fields such...

GiANT
 Referenced in 9 articles
[sw00348]
 GiANT: graphical algebraic number theory. While most algebra is done by writing text and formulas ... facto interface for computational algebraic number theory, but they are incapable of presenting structural information ... newly developed graphical interface for working with number fields. GiANT offers interactive diagrams, drag...

LMFDB
 Referenced in 10 articles
[sw07249]
 sources. Lfunctions are ubiquitous in number theory and have applications to mathematical physics ... arise from and encode information about a number of mathematical objects. It is necessary...

MaLARea
 Referenced in 27 articles
[sw10278]
 large theories, i.e. on a large number of problems which in a consistent fashion...

ARIBAS
 Referenced in 7 articles
[sw07341]
 several builtin functions for algorithmic number theory like gcd, Jacobi symbol, Rabin probabilistic prime test ... ARIBAS is used for the examples of number theoretic algorithms in the book Algorithmische Zahlentheorie...

NZMATH
 Referenced in 6 articles
[sw09085]
 system oriented to calculations of number theory, based on Python. Currently, it has several basic ... data types and several modules for number theoretic computations. NZMATH has two key visions...

Fluid flow phenomena
 Referenced in 24 articles
[sw15481]
 describes concrete links between theory and practice, offering a large number of codes which allow ... dynamics.par A wellbalanced mix between the theory and the wide range of applications makes...

CVC4
 Referenced in 19 articles
[sw09485]
 source automatic theorem prover for satisfiability modulo theories (SMT) problems. It can be used ... formulas in a large number of builtin logical theories and their combination. CVC4...

Z
 Referenced in 203 articles
[sw10291]
 primarily directed to the user; the background theory is  with the exception of the natural ... possible. However, there are quite a number of minor unclarities, inconsistencies and errors (both...

Juno2
 Referenced in 11 articles
[sw07216]
 sophisticated numerical solver for the theory of the real numbers to produce a powerful constraint...

Antic
 Referenced in 2 articles
[sw15201]
 ANTIC: Algebraic number theory in C. Antic is an algebraic number theory library...

Zeta
 Referenced in 3 articles
[sw13746]
 Experimental Methods in Algebra, Geometry and Number Theory...

REACH
 Referenced in 3 articles
[sw07733]
 problems are decidable by manipulations in number theory, real root isolation, and quantifier elimination. Finally...

FOCI
 Referenced in 39 articles
[sw12868]
 firstorder formulas. It supports certain interpreted theories, such as equality, uninterpreted functions, linear arithmetic ... generally, sequences) of formulas. This has a number of applications in infinitestate verification...