Geodesic
Discriminants of pure square-free degree number fields
Anuj Jakhar1 ; Sudesh K. Khanduja1 ; Neeraj Sangwan1
1 Indian Institute of Science Education and Research (IISER), Mohali Sector 81, S. A. S. Nagar 140306, Punjab, India
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 $a$.
DOI : 10.4064/aa170508-4-11
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

Anuj Jakhar 1 ; Sudesh K. Khanduja 1 ; Neeraj Sangwan 1

1 Indian Institute of Science Education and Research (IISER), Mohali Sector 81, S. A. S. Nagar 140306, Punjab, India 
@article{10_4064_aa170508_4_11,
     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/}
}
TY  - JOUR
AU  - Anuj Jakhar
AU  - Sudesh K. Khanduja
AU  - Neeraj Sangwan
TI  - Discriminants of pure square-free degree number fields
JO  - Acta Arithmetica
PY  - 2017
SP  - 287
EP  - 296
VL  - 181
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa170508-4-11/
DO  - 10.4064/aa170508-4-11
LA  - en
ID  - 10_4064_aa170508_4_11
ER  - 
%0 Journal Article
%A Anuj Jakhar
%A Sudesh K. Khanduja
%A Neeraj Sangwan
%T Discriminants of pure square-free degree number fields
%J Acta Arithmetica
%D 2017
%P 287-296
%V 181
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/aa170508-4-11/
%R 10.4064/aa170508-4-11
%G en
%F 10_4064_aa170508_4_11
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. http://geodesic.mathdoc.fr/articles/10.4064/aa170508-4-11/

Cité par Sources :