Geodesic
On explicit units in Kummer's tower
Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 3, Tome 490 (2020), pp. 109-123

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We consider Kummer's tower, i. e. a family of number fields obtained by means of extracting all possible radicals from a rational base. We construct a few series of units in the tower where the base is equal to two and three. 
@article{ZNSL_2020_490_a6,
     author = {A. L. Smirnov},
     title = {On explicit units in {Kummer's} tower},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {109--123},
     publisher = {mathdoc},
     volume = {490},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_490_a6/}
}
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A. L. Smirnov. On explicit units in Kummer's tower. Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 3, Tome 490 (2020), pp. 109-123. http://geodesic.mathdoc.fr/item/ZNSL_2020_490_a6/