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Aug 21, 2021 at 2:28 comment added Gerry Myerson Is the paper, Spearman & Williams, An explicit integral basis for a pure cubic field, Far East J Math Sci 6 (1) (1998) 1-14, people.math.carleton.ca/~williams/papers/pdf/216.pdf helpful? There's also a Missouri State University dissertation, Bieda, Kristen, "Integral Basis of Pure Cubic Fields" (2004). MSU Graduate Theses. 1612. bearworks.missouristate.edu/theses/1612
Aug 20, 2021 at 14:25 comment added efs I'm pretty sure this is done in the book "Number Fields" by Marcus, perhaps as a guided exercise (a very nice one). There is a new edition of that book, typed in latex.
Aug 20, 2021 at 14:11 history edited Infinity_hunter CC BY-SA 4.0
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Aug 20, 2021 at 14:00 history asked Infinity_hunter CC BY-SA 4.0