Hasse’s problem for monogenic fields
Annales Mathématiques Blaise Pascal, Tome 16 (2009) no. 1, pp. 47-56.

In this article we shall give a survey of Hasse’s problem for integral power bases of algebraic number fields during the last half of century. Specifically, we developed this problem for the abelian number fields and we shall show several substantial examples for our main theorem [7] [9], which will indicate the actual method to generalize for the forthcoming theme on Hasse’s problem [15].

DOI : https://doi.org/10.5802/ambp.252
Classification : 11R27,  11R29,  11R37
Mots clés : remplir svp
@article{AMBP_2009__16_1_47_0,
author = {Nakahara, Toru},
title = {Hasse's problem for monogenic fields},
journal = {Annales Math\'ematiques Blaise Pascal},
pages = {47--56},
publisher = {Annales math\'ematiques Blaise Pascal},
volume = {16},
number = {1},
year = {2009},
doi = {10.5802/ambp.252},
mrnumber = {2514526},
zbl = {1187.11038},
language = {en},
url = {www.numdam.org/item/AMBP_2009__16_1_47_0/}
}
Nakahara, Toru. Hasse’s problem for monogenic fields. Annales Mathématiques Blaise Pascal, Tome 16 (2009) no. 1, pp. 47-56. doi : 10.5802/ambp.252. http://www.numdam.org/item/AMBP_2009__16_1_47_0/

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