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Computational Number Theory is for explicit calculations or algorithms involving anything of interest to number theorists.

2 votes
0 answers
116 views

Algorithm to generate random polynomials which has root in Q(a) where a is another algebraic...

Suppose you are given an algebraic number $\alpha$ . It is represented by $(p(x),(a,b),r)$ where $p(x)$ is its minimal polynomial. $a+ ib$ is an approximation of $\alpha$ such that there is no other r …
Pranjal Dutta's user avatar
2 votes
2 answers
534 views

Algorithm for checking linear independence of algebraic numbers

Is there any if and only if condition for checking $\mathbb{Q}$-linear independence of given a set of numbers say $\alpha_i$ ? More precisely how to check linear independence of given $n$ algebraic nu …
Pranjal Dutta's user avatar