Discriminants of pure square-free degree number fields
Acta Arithmetica, Tome 181 (2017) no. 3, pp. 287-296
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Let $K=\mathbb{Q}(\!\sqrt[n]{a})$ be an extension of square-free degree $n$ of the field $\mathbb Q$ of rational numbers, where $a\in \mathbb Z$. This paper gives an explicit formula for the discriminant of $K$ involving only primes dividing $n$ and the prime powers dividing $a$.
Keywords:
mathbb sqrt extension square free degree field mathbb rational numbers where mathbb paper gives explicit formula discriminant involving only primes dividing prime powers dividing
Affiliations des auteurs :
Anuj Jakhar 1 ; Sudesh K. Khanduja 1 ; Neeraj Sangwan 1
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author = {Anuj Jakhar and Sudesh K. Khanduja and Neeraj Sangwan},
title = {Discriminants of pure square-free degree number fields},
journal = {Acta Arithmetica},
pages = {287--296},
publisher = {mathdoc},
volume = {181},
number = {3},
year = {2017},
doi = {10.4064/aa170508-4-11},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/aa170508-4-11/}
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Anuj Jakhar; Sudesh K. Khanduja; Neeraj Sangwan. Discriminants of pure square-free degree number fields. Acta Arithmetica, Tome 181 (2017) no. 3, pp. 287-296. doi: 10.4064/aa170508-4-11
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