Geodesic
Discriminants of pure square-free degree number fields
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
Acta Arithmetica, Tome 181 (2017) no. 3, pp. 287-296 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 
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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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