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KANT is a
computer algebra systemA computer algebra system is a software program that facilitates symbolic mathematics. The core functionality of a CAS is manipulation of mathematical expressions in symbolic form.Symbolic manipulations:...
for mathematicians interested in
algebraic number theoryAlgebraic number theory is a major branch of number theory which studies algebraic structures related to algebraic integers. This is generally accomplished by considering a ring of algebraic integers O in an algebraic number field K/Q, and studying their algebraic properties such as factorization,...
, performing sophisticated computations in
algebraic number fieldIn mathematics, an algebraic number field F is a finite field extension of the field of rational numbers Q...
s, in
globalIn mathematics, the term global field refers to either of the following:*an algebraic number field, i.e., a finite extension of Q, or*a global function field, i.e., the function field of an algebraic curve over a finite field, equivalently, a finite extension of Fq, the field of rational functions...
function fieldFunction field may refer to:*Function field of an algebraic variety*Function field...
s, and in
local fieldIn mathematics, a local field is a special type of field that is a locally compact topological field with respect to a nondiscrete topology.Given such a field, an absolute value can be defined on it. There are two basic types of local field: those in which the absolute value is archimedean and...
s.
KASH is the associated command line interface. They have been developed by the Algebra and Number Theory research group of the Institute of Mathematics at Technische Universität Berlin under the project leadership of Prof. Dr Michael Pohst.
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