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On the Discriminant of Pure Number Fields by Jakhar, Anuj; Khanduja, Sudesh K.; Sangwan, Neeraj is a scholarly article available to read on EtoBox.

What is On the Discriminant of Pure Number Fields about?

Let $K=\mathbb{Q}(\sqrt[n]{a})$ be an extension of degree $n$ of the field $\Q$ of rational numbers, where the integer $a$ is such that for each prime $p$ dividing $n$ either $p\nmid a$ or the highest power of $p$ dividing $a$ is coprime to $p$; this condition is clearly satisfied when $a, n$ are coprime or $a$ is squarefree. The paper contains an explicit formula for the discriminant of $K$ involving only the prime powers dividing $a,n$.

Author

Jakhar, Anuj; Khanduja, Sudesh K.; Sangwan, Neeraj

Published

2020

Language

EN