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pro vyhledávání: '"Kalwaniya, Ravi"'
Let $\theta$ be a root of a monic polynomial $h(x) \in \Z[x]$ of degree $n \geq 2$. We say $h(x)$ is monogenic if it is irreducible over $\Q$ and $\{ 1, \theta, \theta^2, \ldots, \theta^{n-1} \}$ is a basis for the ring $\Z_K$ of integers of $K = \Q(
Externí odkaz:
http://arxiv.org/abs/2402.10131
Autor:
Jakhar, Anuj, Kalwaniya, Ravi
Let $n \neq 8$ be a positive integer such that $n+1 \neq 2^u$ for any integer $u\geq 2$. Let $\phi(x)$ belonging to $\mathbb{Z}[x]$ be a monic polynomial which is irreducible modulo all primes less than or equal to $n+1$. Let $a_j(x)$ with $0\leq j\l
Externí odkaz:
http://arxiv.org/abs/2306.03294
Autor:
Jakhar, Anuj, Kalwaniya, Ravi
Let $K=\Q(\theta)$ be an algebraic number field with $\theta$ a root of an irreducible quadrinomial $f(x) = x^6+ax^m+bx+c\in\Z[x] $ with $m\in\{2,3,4,5\}$. In the present paper, we give some explicit conditions involving only $a,~b,~c$ and $m$ for wh
Externí odkaz:
http://arxiv.org/abs/2303.00484
Publikováno v:
Mathematica Slovaca; Oct2024, Vol. 74 Issue 5, p1147-1154, 8p