Skip to main content

All Questions

Filter by
Sorted by
Tagged with
3 votes
0 answers
135 views

Recover cyclotomic integer with bounded coefficients from its known associate

Recall that two cyclotomic integers are called associated if their ratio is a unit in the corresponding ring of cyclotomic integers. We will view cyclotomic integers as polynomials (of degree $<\...
Max Alekseyev's user avatar
8 votes
1 answer
139 views

Deciding positivity of real cyclotomic numbers efficiently

Consider a cyclotomic field $\mathbb{Q}[\zeta_n]$ for fixed $n$ and assume that an embedding $\mathbb{Q}[\zeta_n] \hookrightarrow \mathbb{C}$ has been chosen, say by fixing once and for all $\zeta_n=\...
Johannes Hahn's user avatar