SEARCH MATHEMATICA 8 DOCUMENTATION

THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.

Mathematica > Mathematics and Algorithms > Number Theory > Algebraic Number Theory >

Built-in Mathematica Symbol

AlgebraicUnitQ

AlgebraicUnitQ[a]
yields True if a is an algebraic unit, and yields False otherwise.

A number is an algebraic unit if both it and its reciprocal are algebraic integers.

Test whether

is an algebraic unit:

Test whether

is an algebraic unit:

Simple algebraic units:

Radical expressions:

AlgebraicUnitQ automatically threads over lists:

An algebraic unit and its reciprocal are algebraic integers:

The reciprocal is an algebraic unit:

An algebraic unit has norm 1 or -1:

An algebraic unit raised to a power is again an algebraic unit:

New in 6