KUČERA, Radan. The circular units and the Stickelberger ideal of a cyclotomic field revisited. Acta Arithmetica. Institute of Mathematics, Polish Academy of Sciences, 2016, roč. 174, č. 3, s. 217-238. ISSN 0065-1036. Dostupné z: https://dx.doi.org/10.4064/aa8009-4-2016. |
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@article{1349599, author = {Kučera, Radan}, article_number = {3}, doi = {http://dx.doi.org/10.4064/aa8009-4-2016}, keywords = {Circular (cyclotomic) units; Stickelberger ideal; odd and even universal ordinary distributions; Ennola relations.}, language = {eng}, issn = {0065-1036}, journal = {Acta Arithmetica}, title = {The circular units and the Stickelberger ideal of a cyclotomic field revisited}, volume = {174}, year = {2016} }
TY - JOUR ID - 1349599 AU - Kučera, Radan PY - 2016 TI - The circular units and the Stickelberger ideal of a cyclotomic field revisited JF - Acta Arithmetica VL - 174 IS - 3 SP - 217-238 EP - 217-238 PB - Institute of Mathematics, Polish Academy of Sciences SN - 00651036 KW - Circular (cyclotomic) units KW - Stickelberger ideal KW - odd and even universal ordinary distributions KW - Ennola relations. N2 - The aim of this paper is a new construction of bases of the group of circular units and of the Stickelberger ideal for a family of abelian fields containing all cyclotomic fields, namely for any compositum of imaginary abelian fields, each ramified only at one prime. In contrast to the previous papers on this topic our approach consists in an explicit construction of Ennola relations. This gives an explicit description of the torsion parts of odd and even universal ordinary distributions, but it also allows us to give a shorter proof that the given set of elements is a basis. Moreover we obtain a presentation of the group of circular numbers for any field in the above mentioned family. ER -
KUČERA, Radan. The circular units and the Stickelberger ideal of a cyclotomic field revisited. \textit{Acta Arithmetica}. Institute of Mathematics, Polish Academy of Sciences, 2016, roč.~174, č.~3, s.~217-238. ISSN~0065-1036. Dostupné z: https://dx.doi.org/10.4064/aa8009-4-2016.
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