# Kant V4

@article{Daberkow1997KantV, title={Kant V4}, author={Mario Daberkow and Claus Fieker and J{\"u}rgen Kl{\"u}ners and Michael E. Pohst and K. Roegner and M. Sch{\"o}rnig and K. Wildanger}, journal={J. Symb. Comput.}, year={1997}, volume={24}, pages={267-283} }

The software package KANT V4 for computations in algebraic number elds is now available in version 4. In addition a new user interface has been released. We will outline the features of this new software package.

## 177 Citations

### KASH: Recent Developments

- Computer Science, MathematicsICMS
- 2006

The computer algebra system KASH/KANT for number theory has evolved considerably and its new features are presented and the related components, QaoS (Querying Algebraic Objects System) and GiANT (Graphical Al algebraic Number Theory) are introduced.

### A Database for Number Fields

- Computer Science, BiologyDISCO
- 1996

A database for number fields is described that has been integrated into the algebraic number theory system Kant and gives efficient access to the tables of number fields that have been computed during the last years and is easily extended.

### On the Computation of Hilbert Class Fields

- Mathematics
- 1998

Abstract Let k be an algebraic number field. We describe a procedure for computing the Hilbert class field Γ ( k ) of k , i.e., the maximal abelian extension unramified at all places. In the first…

### On solving norm equations in global function fields

- Mathematics, Computer ScienceJ. Math. Cryptol.
- 2009

This article develops general effective methods for that task in global function fields for the first time in algebraic number theory.

### Kummer Curves and Their Fibre Products with Many Rational Points

- PhysicsApplicable Algebra in Engineering, Communication and Computing
- 2003

This method bases on the fine features of Kummer extensions and obtains new curves after practical searching by an efficient method of constructing curves with many rational points.

### On computing integral points of a Mordell curve over rational function fields in characteristic >3

- Mathematics
- 2013

### An efficient algorithm for the computation of Galois automorphisms

- Computer Science, MathematicsMath. Comput.
- 2004

We describe an algorithm for computing the Galois automorphisms of a Galois extension which generalizes the algorithm of Acciaro and Kluners to the non-Abelian case. This is much faster in practice…

### On the Resolution of Resultant Type Equations

- MathematicsJ. Symb. Comput.
- 2002

This work makes the first attempt for the complete resolution of resultant type equations for monic quadratic polynomials satisfyingRes(P, Q) = a.

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