Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 3, Tome 490 (2020), pp. 109-123
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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/
@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},
year = {2020},
volume = {490},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_490_a6/}
}
TY - JOUR
AU - A. L. Smirnov
TI - On explicit units in Kummer's tower
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2020
SP - 109
EP - 123
VL - 490
UR - http://geodesic.mathdoc.fr/item/ZNSL_2020_490_a6/
LA - ru
ID - ZNSL_2020_490_a6
ER -
%0 Journal Article
%A A. L. Smirnov
%T On explicit units in Kummer's tower
%J Zapiski Nauchnykh Seminarov POMI
%D 2020
%P 109-123
%V 490
%U http://geodesic.mathdoc.fr/item/ZNSL_2020_490_a6/
%G ru
%F ZNSL_2020_490_a6
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.
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