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Results tagged with cyclotomic-fields
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user 26178
A cyclotomic field is a number field obtained by adjoining a complex primitive root of unity to $\mathbb Q$, the field of rational numbers.
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which algebraic integers in a cyclotomic field give you integer absolute value?
Does anyone know an answer to this question?
Question: In an cyclotomic field which algebraic integers have integer absolute value?
Revision 1: -1
I like to add this to the above question, Let's ta …
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is there any bound on the absolute number of algebraic integer in terms of its degree?
If Z is a sum of t distinct roots of unity and |Z| is a rational integer, can someone find a bound on |Z| in terms of k=deg(Q(Z):Q))?
Clearly we need to have distinct roots of unity otherwise this wo …
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When does the absolute value of a sum of an integer and an algebraic integer equal an integer?
Let's say Z is a sum of n-th roots of unity and thus an algebraic integer, and D is a rational integer. If |z+D| is an integer, what can we conclude regarding Z? Can we say |Z| is an integer?
Another …
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