On power integral bases for certain pure number fields defined by x24 – m
2020 ◽
Vol 57
(3)
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pp. 397-407
Keyword(s):
AbstractLet K = ℚ(α) be a number field generated by a complex root α of a monic irreducible polynomial f(x) = x24 – m, with m ≠ 1 is a square free rational integer. In this paper, we prove that if m ≡ 2 or 3 (mod 4) and m ≢∓1 (mod 9), then the number field K is monogenic. If m ≡ 1 (mod 4) or m ≡ 1 (mod 9), then the number field K is not monogenic.
2021 ◽
Vol 58
(3)
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pp. 371-380
Keyword(s):
Keyword(s):
1998 ◽
Vol 41
(2)
◽
pp. 158-165
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Keyword(s):
2016 ◽
Vol 0
(0)
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